kopia lustrzana https://github.com/miguelvaca/vk3cpu
480 wiersze
25 KiB
HTML
480 wiersze
25 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>VK3CPU RF Inductor Calculator</title>
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<link rel="stylesheet" href="inductor.css">
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</head>
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<body>
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<header><a href="mailto:vk3cpu@gmail.com">VK3CPU</a> - RF Inductor Calculator v1.0<br><a href="inductor_imp.html">[Wire Imperial]</a> <a href="inductor_lrg.html">[Coax Metric]</a></header>
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<section class="gridLayoutClass">
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<div id="inductor-container" class="inductor-container" style="position: relative;">
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<canvas id="inductor2D" class="inductorClass" width="350" height="350">
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</canvas>
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</div>
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<div class="slider_container">
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<div class="sliders">
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<label for="conductor_diameter_slider">⌀a:</label>
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<input type="range" id="conductor_diameter_slider" min="0.1" max="4.0" value="1.0" step="0.05">
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</div>
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<div class="sliders">
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<label for="loop_diameter_slider">⌀b:</label>
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<input type="range" id="loop_diameter_slider" min="5.0" max="50.0" value="10.0" step="0.1">
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</div>
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<div class="sliders">
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<label for="loop_spacing_slider">c/a:</label>
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<input type="range" id="loop_spacing_slider" min="1.1" max="4.0" value="2.0" step="0.01">
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</div>
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<div class="sliders">
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<label for="loop_turns_slider">N:</label>
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<input type="range" id="loop_turns_slider" min="2" max="100" value="8.0" step="1.0">
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</div>
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<div class="sliders">
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<label for="frequency_slider">f:</label>
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<input type="range" id="frequency_slider" min="1.0" max="30.0" value="7.0" step="0.1">
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</div>
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</div>
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<div id="notes" class="notes">
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<br>
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<b><u>Notes:</u></b><br>
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RF Inductor Calculator was developed to help users predict the RF characteristics of a single-layer solenoid-style air-core inductor. <br><br>
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<u>Inputs via the slider widgets:</u>
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<ul>
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<li>⌀a : Conductor diameter in millimeters (mm). Estimated equivalent AWG wire size is also displayed where appropriate.</li>
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<li>⌀b : Loop diameter in millimeters (mm).</li>
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<li>c/a : 'c' is the inter-winding spacing, and 'a' is the conductor diameter, so 'c/a' is the spacing ratio. (Must be >= 1.1)
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A low-value will increase the resistance due to the proximity effect.</li>
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<li>N : Number of turns or windings.</li>
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<li>f : The frequency of interest (MHz) for some of the calculations.</li>
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</ul>
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<p>Characteristics on the left are independent of frequency, while the characteristics on the right are dependent on the selected frequency. <br><br>
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Each of the graphic representations attempt to keep the relative geometry correct, without exceeding the drawing boundary. The coil diameter
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relative to the conductor diameter are representative. </p>
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<u>Calculated dimensions:</u>
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<ul>
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<li>⌀o : Outer loop diameter (mm) </li>
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<li>⌀i : Inner loop diameter (mm) - corresponds to the diameter of the winding former.</li>
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<li>c : Distance between windings, measured from the conductor centers (mm).</li>
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<li>ℓ : Length of the coil (mm). Equal to c x N.</li>
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</ul>
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<u>Calculated parameters:</u>
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<ul>
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<li>L : Inductance is calculated using Nagaoka's equation incorporating his coefficient.</li>
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<li>C : Capacitance is calculated using Knight's 2016 paper on self-resonance and self-capacitance of solenoid coils.</li>
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<li>Rdc : DC resistance is calculated using conductor length divided by the conductor cross-sectional area, assuming a copper conductor.</li>
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<li>SRF : Self-resonant frequency (MHz) for the unloaded coil. Currently using a lumped reactances model. (Looking into modifying the model to
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use the conductor length and velocity factor as described by Knight (2016).</li>
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<li>Xl : Inductive reactance at the given frequency. (Ω)</li>
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<li>δ : Skin depth due to skin effect (μm)</li>
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<li>Rac : AC resistance is calculated using the skin effect and proximity resistance from empirical data collected by Medhurst using the spacing ratio, and length-to-diameter ratio.</li>
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<li>Q : Quality factor of device, based on reactance (X) ÷ resistance (Rac) at the given frequency.</li>
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</ul>
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</div>
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</section>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/Chart.js/2.9.3/Chart.min.js"></script>
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<script src="https://cdn.jsdelivr.net/npm/chartjs-plugin-crosshair@1.1.2"></script>
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<script src="inductor.js"></script>
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<script>
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// Define global storage for calculated values, so we don't recalculate the same things multiple times:
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var inductor = {
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L : 0.0,
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C : 0.0,
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Rdc : 0.0,
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SRF : 0.0,
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X : 0.0,
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skin_depth : 0.0,
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Rac : 0.0,
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Q : 0.0
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};
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// Solve all the parameters, and re-draw the canvas:
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function recalculate() {
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// Input variables:
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const loop_diameter_meters = 0.001 * loop_diameter_slider.value;
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const cond_diameter_meters = 0.001 * conductor_diameter_slider.value;
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const spacing_ratio = 1.0 * loop_spacing_slider.value;
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const loop_turns = 1.0 * loop_turns_slider.value;
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const frequency_hz = 1e6 * frequency_slider.value;
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// Frequency independent characteristics:
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inductor.L = getInductance(loop_diameter_meters, cond_diameter_meters, spacing_ratio, loop_turns);
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inductor.C = multiloopCapacitance(loop_diameter_meters, cond_diameter_meters, spacing_ratio, loop_turns);
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inductor.Rdc = dcResistance(loop_diameter_meters, cond_diameter_meters, spacing_ratio, loop_turns);
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inductor.SRF = selfResonantFrequency(inductor.L, inductor.C);
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// Frequency dependent characteristics:
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inductor.X = inductiveReactance(frequency_hz, inductor.L);
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inductor.skin_depth = skinDepth(frequency_hz);
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inductor.Rac = acResistance(loop_diameter_meters, cond_diameter_meters, spacing_ratio, loop_turns, frequency_hz);
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inductor.Q = qualityFactor(inductor.X, inductor.Rac);
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// Redraw the canvas:
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drawDesign();
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}
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loop_diameter_slider.oninput = function() {
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recalculate();
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}
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conductor_diameter_slider.oninput = function() {
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recalculate();
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}
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loop_turns_slider.oninput = function() {
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recalculate();
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}
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loop_spacing_slider.oninput = function() {
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recalculate();
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}
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frequency_slider.oninput = function() {
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recalculate();
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}
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window.onresize = function() {
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recalculate();
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}
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window.onorientationchange = function() {
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recalculate();
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}
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window.onbeforeprint = function() {
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console.log("onbeforeprint");
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drawDesign();
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}
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const afront_canvas = document.getElementById("inductor2D");
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const fctx = afront_canvas.getContext('2d');
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function drawDesign() {
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const win_width = document.getElementById("inductor-container").clientWidth;
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const win_height = document.getElementById("inductor-container").clientHeight;
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afront_canvas.width = win_width-12;
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afront_canvas.height = win_height-12;
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fctx.clearRect(0, 0, win_width, win_height);
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const loop_radius = 0.11 * win_height; // 100; // loop_diameter_slider.value * 80;
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var cond_radius = loop_radius * conductor_diameter_slider.value / loop_diameter_slider.value;
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const loopx = win_width/2;
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const loopy = win_height/4;
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fctx.font = "bold 14px arial";
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fctx.textAlign = "center";
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fctx.fillText("Wire - Metric", win_width*0.5, 18);
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// Draw loop ends first, then draw the loop after:
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fctx.strokeStyle = "grey";
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fctx.beginPath();
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fctx.arc(loopx - 0.5*loop_radius, loopy + 1.414*loop_radius, 0.5 * loop_radius, 0.0, -0.40 * Math.PI, true);
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fctx.lineWidth = cond_radius * 2.0;
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fctx.stroke();
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fctx.strokeStyle = "black";
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fctx.beginPath();
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fctx.arc(loopx + 0.5*loop_radius, loopy + 1.414*loop_radius, 0.5 * loop_radius, Math.PI, -0.60 * Math.PI, false);
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fctx.lineWidth = cond_radius * 2.0;
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fctx.stroke();
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// Draw loop:
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fctx.beginPath();
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fctx.arc(loopx, loopy, loop_radius, 0.0, 2.0 * Math.PI, false);
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fctx.stroke();
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fctx.lineWidth = 1.0;
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// Draw loop diameter arrow:
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const y_offset = loopy + loop_radius + 20;
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var arrow_size = 10.0;
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fctx.beginPath();
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fctx.moveTo(loopx - loop_radius, loopy);
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fctx.lineTo(loopx - loop_radius, y_offset);
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fctx.lineTo(loopx - loop_radius - arrow_size, y_offset - arrow_size);
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fctx.lineTo(loopx - loop_radius - arrow_size, y_offset + arrow_size);
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fctx.lineTo(loopx - loop_radius, y_offset);
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fctx.lineTo(loopx - loop_radius - 3.0*arrow_size, y_offset);
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fctx.stroke();
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fctx.beginPath();
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fctx.moveTo(loopx + loop_radius, loopy);
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fctx.lineTo(loopx + loop_radius, y_offset);
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fctx.lineTo(loopx + loop_radius + arrow_size, y_offset - arrow_size);
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fctx.lineTo(loopx + loop_radius + arrow_size, y_offset + arrow_size);
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fctx.lineTo(loopx + loop_radius, y_offset);
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fctx.lineTo(loopx + loop_radius + 3.0*arrow_size, y_offset);
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fctx.stroke();
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// Write loop diameter symbol:
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fctx.font = "12px arial";
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fctx.textAlign = "right";
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const loop_dia = 1.0 * loop_diameter_slider.value; // Convert from mm to inches
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fctx.fillText("\u2300b = " + loop_dia.toPrecision(3).toString() + "mm", loopx - loop_radius - 2.0*arrow_size, y_offset - 2);
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// Draw inner-diameter arrows: (for using a winding former)
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const inner_dia_y = loopy + loop_radius + 40;
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fctx.beginPath();
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fctx.moveTo(loopx - loop_radius + cond_radius, loopy);
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fctx.lineTo(loopx - loop_radius + cond_radius, inner_dia_y);
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fctx.lineTo(loopx - loop_radius + cond_radius - arrow_size, inner_dia_y - arrow_size);
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fctx.lineTo(loopx - loop_radius + cond_radius - arrow_size, inner_dia_y + arrow_size);
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fctx.lineTo(loopx - loop_radius + cond_radius, inner_dia_y);
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fctx.lineTo(loopx - loop_radius - 3.0*arrow_size, inner_dia_y);
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fctx.stroke();
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fctx.beginPath();
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fctx.moveTo(loopx + loop_radius - cond_radius, loopy);
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fctx.lineTo(loopx + loop_radius - cond_radius, inner_dia_y);
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fctx.lineTo(loopx + loop_radius - cond_radius + arrow_size, inner_dia_y - arrow_size);
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fctx.lineTo(loopx + loop_radius - cond_radius + arrow_size, inner_dia_y + arrow_size);
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fctx.lineTo(loopx + loop_radius - cond_radius, inner_dia_y);
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fctx.lineTo(loopx + loop_radius + 3.0*arrow_size, inner_dia_y);
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fctx.stroke();
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fctx.textAlign = "left";
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fctx.fillText("\u2300i = " + (loop_dia-0.5*conductor_diameter_slider.value).toFixed(1).toString() + "mm", loopx + loop_radius + 2.0*arrow_size, inner_dia_y - 2);
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// Draw outer-diameter arrows: (for using a winding former)
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const outer_dia_y = loopy + loop_radius + 0;
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fctx.beginPath();
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fctx.moveTo(loopx - loop_radius - cond_radius, loopy);
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fctx.lineTo(loopx - loop_radius - cond_radius, outer_dia_y);
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fctx.lineTo(loopx - loop_radius - cond_radius - arrow_size, outer_dia_y - arrow_size);
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fctx.lineTo(loopx - loop_radius - cond_radius - arrow_size, outer_dia_y + arrow_size);
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fctx.lineTo(loopx - loop_radius - cond_radius, outer_dia_y);
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fctx.lineTo(loopx - loop_radius - 3.0*arrow_size, outer_dia_y);
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fctx.stroke();
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fctx.beginPath();
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fctx.moveTo(loopx + loop_radius + cond_radius, loopy);
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fctx.lineTo(loopx + loop_radius + cond_radius, outer_dia_y);
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fctx.lineTo(loopx + loop_radius + cond_radius + arrow_size, outer_dia_y - arrow_size);
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fctx.lineTo(loopx + loop_radius + cond_radius + arrow_size, outer_dia_y + arrow_size);
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fctx.lineTo(loopx + loop_radius + cond_radius, outer_dia_y);
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fctx.lineTo(loopx + loop_radius + 3.0*arrow_size, outer_dia_y);
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fctx.stroke();
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fctx.fillText("\u2300o = " + (loop_dia+0.5*conductor_diameter_slider.value).toFixed(1).toString() + "mm", loopx + loop_radius + 2.0*arrow_size, outer_dia_y - 2);
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// Write loop inductance:
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fctx.font = "12px arial";
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fctx.textAlign = "left";
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const L = inductor.L * 1.0e+6;
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fctx.fillText("L = " + L.toPrecision(3).toString() + " \u03bcH", 8, 18);
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fctx.fillText("C = " + (inductor.C * 1e12).toFixed(1) + " pF", 8, 32);
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fctx.fillText("Rdc = " + inductor.Rdc.toFixed(2) + " \u03A9", 8, 46);
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fctx.fillText("SRF = " + (inductor.SRF * 1e-6).toFixed(1) + " MHz", 8, 60);
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// Draw conductor diameter arrow:
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fctx.beginPath();
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fctx.moveTo(loopx + loop_radius - cond_radius, loopy);
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fctx.lineTo(loopx + loop_radius - cond_radius - arrow_size, loopy - arrow_size);
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fctx.lineTo(loopx + loop_radius - cond_radius - arrow_size, loopy + arrow_size);
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fctx.lineTo(loopx + loop_radius - cond_radius, loopy);
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fctx.lineTo(loopx - 0.6*loop_radius, loopy);
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fctx.stroke();
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fctx.beginPath();
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fctx.moveTo(loopx + loop_radius + cond_radius, loopy);
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fctx.lineTo(loopx + loop_radius + cond_radius + arrow_size, loopy - arrow_size);
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fctx.lineTo(loopx + loop_radius + cond_radius + arrow_size, loopy + arrow_size);
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fctx.lineTo(loopx + loop_radius + cond_radius, loopy);
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fctx.lineTo(loopx + loop_radius + cond_radius + 2.0*arrow_size, loopy);
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fctx.stroke();
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//fctx.textAlign = "right";
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const cond_dia = 1.0 * conductor_diameter_slider.value;
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fctx.textAlign = "center";
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fctx.fillText("\u2300a = " + cond_dia.toPrecision(3).toString() + "mm", loopx, loopy - 6);
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var awg = "";
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switch(cond_dia) {
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case 0.100 :
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awg = "~38 AWG";
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break;
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case 0.150 :
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awg = "~35 AWG";
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break;
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case 0.200 :
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awg = "~32 AWG";
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break;
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case 0.250 :
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awg = "~30 AWG";
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break;
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case 0.300 :
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awg = "~29 AWG";
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break;
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case 0.350 :
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awg = "~27 AWG";
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break;
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case 0.400 :
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awg = "~26 AWG";
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break;
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case 0.450 :
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awg = "~25 AWG";
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break;
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case 0.500 :
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awg = "~24 AWG";
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break;
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case 0.550 :
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awg = "~23 AWG";
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break;
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case 0.650 :
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awg = "~22 AWG";
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break;
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case 0.700 :
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awg = "~21 AWG";
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break;
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case 0.800 :
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awg = "~20 AWG";
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break;
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case 0.900 :
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awg = "~19 AWG";
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break;
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case 1.00 :
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awg = "~18 AWG";
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break;
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case 1.15 :
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awg = "~17 AWG";
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break;
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case 1.30 :
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awg = "~16 AWG";
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break;
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case 1.45 :
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awg = "~15 AWG";
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break;
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case 1.55 :
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awg = "~14 AWG";
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break;
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case 1.80 :
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awg = "~13 AWG";
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break;
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case 2.00 :
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awg = "~12 AWG";
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break;
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case 2.30 :
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awg = "~11 AWG";
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break;
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case 2.60 :
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awg = "~10 AWG";
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break;
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case 2.90 :
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awg = "~9 AWG";
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break;
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case 3.25 :
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awg = "~8 AWG";
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break;
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case 3.65 :
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awg = "~7 AWG";
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break;
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case 4.10 :
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awg = "~6 AWG";
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break;
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case 4.60 :
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awg = "~5 AWG";
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break;
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}
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fctx.textAlign = "left";
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fctx.fillText(awg, loopx + loop_radius + cond_radius + 2.0*arrow_size, loopy - 6);
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var cond_spacing = 2.0 * cond_radius * loop_spacing_slider.value;
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if((cond_spacing * loop_turns_slider.value) > (0.8 * win_width)) {
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cond_radius = ((0.8 * win_width) / (loop_turns_slider.value * 2.0*loop_spacing_slider.value));
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cond_spacing = 2.0 * cond_radius * loop_spacing_slider.value;
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}
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var start_x = win_width/2.0 - loop_turns_slider.value * cond_spacing * 0.5;
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var top_y = win_height * 0.56;
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var bot_y = top_y + 2.0 * cond_radius * (loop_diameter_slider.value / conductor_diameter_slider.value);
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for (let i = 0; i < loop_turns_slider.value; i++) {
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fctx.beginPath();
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fctx.moveTo(start_x + ((0.5 + i) * cond_spacing) + cond_radius, top_y);
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fctx.lineTo(start_x + (i+1) * cond_spacing + cond_radius, bot_y);
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fctx.arc(start_x + (i+1) * cond_spacing, bot_y, cond_radius, 0, Math.PI, false);
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fctx.lineTo(start_x + ((0.5 + i) * cond_spacing) - cond_radius, top_y);
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fctx.fillStyle = "grey";
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fctx.fill();
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fctx.beginPath();
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fctx.arc(start_x + (i * cond_spacing), bot_y, cond_radius, 0, Math.PI);
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fctx.arc(start_x + (cond_spacing * 0.5) + i * cond_spacing, top_y, cond_radius, Math.PI, 0);
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fctx.lineTo(start_x + (i * cond_spacing) + cond_radius, bot_y);
|
|
fctx.closePath();
|
|
fctx.fillStyle = "black";
|
|
fctx.fill();
|
|
}
|
|
|
|
// Draw the wire ends:
|
|
fctx.fillRect(start_x - cond_radius, bot_y, 2.0 * cond_radius, 30);
|
|
fctx.fillStyle = "grey";
|
|
fctx.fillRect(start_x + loop_turns_slider.value*cond_spacing - cond_radius, bot_y, 2.0 * cond_radius, 30);
|
|
fctx.fillStyle = "black";
|
|
|
|
// Draw left spacing arrow:
|
|
const dim_y = win_height * 0.92;
|
|
fctx.beginPath();
|
|
fctx.moveTo(start_x - 20, dim_y);
|
|
fctx.lineTo(start_x, dim_y);
|
|
fctx.lineTo(start_x - 7, dim_y + 7)
|
|
fctx.lineTo(start_x - 7, dim_y - 7)
|
|
fctx.lineTo(start_x, dim_y);
|
|
fctx.moveTo(start_x, dim_y - 7);
|
|
fctx.lineTo(start_x, dim_y + 7);
|
|
fctx.stroke();
|
|
|
|
// Draw right spacing arrow:
|
|
fctx.beginPath();
|
|
fctx.moveTo(start_x + cond_spacing + 20, dim_y);
|
|
fctx.lineTo(start_x + cond_spacing, dim_y);
|
|
fctx.lineTo(start_x + cond_spacing + 7, dim_y + 7)
|
|
fctx.lineTo(start_x + cond_spacing + 7, dim_y - 7)
|
|
fctx.lineTo(start_x + cond_spacing, dim_y);
|
|
fctx.moveTo(start_x + cond_spacing, dim_y - 7);
|
|
fctx.lineTo(start_x + cond_spacing, dim_y + 7);
|
|
fctx.stroke();
|
|
|
|
// Draw right length arrow:
|
|
fctx.beginPath();
|
|
fctx.moveTo(start_x + loop_turns_slider.value*cond_spacing + 20, dim_y);
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing, dim_y);
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing + 7, dim_y + 7)
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing + 7, dim_y - 7)
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing, dim_y);
|
|
fctx.moveTo(start_x + loop_turns_slider.value*cond_spacing, dim_y - 7);
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing, dim_y + 7);
|
|
fctx.stroke();
|
|
|
|
// Extended lines:
|
|
fctx.strokeStyle = "grey";
|
|
fctx.beginPath();
|
|
fctx.moveTo(start_x, bot_y + 35);
|
|
fctx.lineTo(start_x, dim_y - 12);
|
|
fctx.moveTo(start_x + cond_spacing, bot_y + 15);
|
|
fctx.lineTo(start_x + cond_spacing, dim_y - 12);
|
|
fctx.moveTo(start_x + loop_turns_slider.value*cond_spacing, bot_y + 35);
|
|
fctx.lineTo(start_x + loop_turns_slider.value*cond_spacing, dim_y - 12);
|
|
fctx.stroke();
|
|
fctx.strokeStyle = "black";
|
|
|
|
fctx.font = "12px arial";
|
|
fctx.textAlign = "right";
|
|
var freq = 1.0 * frequency_slider.value;
|
|
fctx.fillText("f = " + freq.toFixed(1) + " MHz", win_width-18, 18);
|
|
fctx.fillText("Xl = " + inductor.X.toFixed(1) + " \u03A9", win_width-18, 32);
|
|
fctx.fillText("\u03B4 = " + (inductor.skin_depth * 1e6).toFixed(1) + " \u03BCm", win_width-18, 46);
|
|
fctx.fillText("Rac = " + inductor.Rac.toFixed(2) + " \u03A9", win_width-18, 60);
|
|
fctx.fillText("Q = " + inductor.Q.toFixed(1), win_width-18, 74);
|
|
|
|
fctx.textAlign = "center";
|
|
fctx.fillText("N = " + loop_turns_slider.value.toString(), win_width/2, win_height * 0.52);
|
|
|
|
// Draw spacing text: (gap is to avoid collision of spacing and length texts)
|
|
fctx.textAlign = "right";
|
|
var gap = ((loop_turns_slider.value*cond_spacing - cond_spacing) < 60) ? (60 - (loop_turns_slider.value*cond_spacing - cond_spacing)) : 0;
|
|
const spc = loop_spacing_slider.value * conductor_diameter_slider.value;
|
|
fctx.fillText("c = " + spc.toFixed(1).toString() + "mm", start_x + cond_spacing + 20 - gap, dim_y + 20);
|
|
|
|
// Draw length text:
|
|
const sol_len = loop_turns_slider.value*spc;
|
|
fctx.fillText("\u2113 = " + sol_len.toFixed(1).toString() + "mm", start_x + loop_turns_slider.value*cond_spacing + 20, dim_y + 20);
|
|
}
|
|
recalculate();
|
|
</script>
|
|
</body>
|
|
</html> |