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Miguel VK3CPU - Magloop Antenna Calculator V4
+
Miguel VK3CPU - Magloop Antenna Calculator V5
@@ -36,24 +36,22 @@
- + - + -
@@ -65,8 +63,10 @@
- Notes:
The Magloop Antenna Calculator was developed to predict the characteristics of a small-loop (aka "magnetic loop" or "magloop") - antenna, given physical dimensions entered via slider widgets. It assumes the main loop is made from a round +

EQUATIONS USED

+ Notes:
+ The Magloop Antenna Calculator was developed to predict the characteristics of a small-loop (aka "magnetic loop" or "magloop") + antenna, given physical dimensions entered via slider widgets. It assumes the main loop is made from a hollow round anodised copper or aluminium conductor. I developed this multi-turn capable magloop calculator to take advantage of the touch-screens and high-speed of modern mobile phones, to allow users to get realtime feedback of the predicted behaviour of a magloop antenna. This would help a radio amateur to decide on the characteristics for the build.
-- 73 de VK3CPU

@@ -86,9 +86,9 @@
  • L : Inductance in microhenries.
  • A : Loop area in square meters or square feet.
  • C : Effective capacitance for multi-turn loops in picofarads.
  • -
  • circ : Circumference of the main loop in meters or feet.
  • +
  • peri : Perimeter of the main loop in meters or feet.
  • c : Distance between windings, measured from the conductor centers in mm or inches.
  • -
  • cond : Total conductor length in meters or feet.
  • +
  • cond : Total required conductor length in meters or feet.
  • Tuning Cap (pF): The capacitance required to bring the loop into resonance at the given frequency. Value in picofarads.
  • Vcap (kV): The predicted voltage across the capacitance given the desired transmit power.
  • BW (kHz): The predicted 3dB bandwidth of the magloop antenna. This is calculated from the predicted Q and the center frequency.
  • @@ -99,41 +99,38 @@
  • Q : The quality factor, which is the reactance divided by the resistance of the loop at that frequency.
  • Ia (A): The RMS loop current in amps.
  • - Formula used for calculations:
    - magloop single-turn antenna inductance
    - magloop multi-turn antenna inductance
    - magloop multi-turn loss resistance
    - magloop surface resistance of conductor
    - multi-turn magloop radiation resistance
    - magloop antenna efficiency
    - magloop antenna Q factor
    - magloop antenna capacitor voltage
    - magloop antenna loop current
    - magloop antenna bandwidth
    -
    Change history:
    - [16-Sep-21] : Update to release V4: Updated equation used for Q to match the one use in the ARRL Antenna Book. This will affect predictions for V_cap, I_loop and BW. (Based on confirmation of correct Q equation used in - "Impedance, Bandwidth, and Q of Antennas" by A D Yaghjian, IEEE Transactions on Antennas and Propagation, April 2005.)
    - [16-Sep-21] : Added equation graphics for V_cap, I_loop and BW formulas.
    - [16-Sep-21] : Flipped the main-loop graphic to have the capacitor above the coupling loop.
    - [12-Sep-21] : Set maximum values to Q, Vcap and I axes to stop autoscaling. Max Q set to 2000, Vcap to 20 kV and I to 100 A.
    - [12-Sep-21] : Added formula/equation graphics in Notes section. A few more complex ones, such as effective capacitance and SRF, are still needed.
    - [12-Sep-21] : Fixed minor error in calculation of resistive loss due to proximity effect.
    - [11-Sep-21] : Added visual cues for all slider-controlled parameters to highlight which parameter is being modified in the graphic representation.
    - [10-Sep-21] : Added c/a display to graphic representation. Moved N from center to left.
    - [30-Aug-21] : Added SRF calculation and display for multi-loop antennas.
    - [28-Aug-21] : Added support for imperial units and for aluminum metal.
    - [27-Jul-21] : Added total conductor length display.
    - [24-Jul-21] : Added loop circumference display.
    + [18-Sep-21]
    + * Updated to V5; Added support for octagon, hexagon and square shaped loops. Moved and hyperlinked equations-used to a separate page for clarity.
    + [16-Sep-21]
    + * Updated to V4; Updated equation used for Q to match the one use in the ARRL Antenna Book. This will affect predictions for V_cap, I_loop and BW. (Based on confirmation of correct Q equation used in + "Impedance, Bandwidth, and Q of Antennas" by A D Yaghjian, IEEE Transactions on Antennas and Propagation, April 2005.)
    + * Added equation graphics for V_cap, I_loop and BW formulas.
    + * Flipped the main-loop graphic to have the capacitor above the coupling loop.
    + [12-Sep-21]
    + * Set maximum values to Q, Vcap and I axes to stop autoscaling. Max Q set to 2000, Vcap to 20 kV and I to 100 A.
    + * Added formula/equation graphics in Notes section. A few more complex ones, such as effective capacitance and SRF, are still needed.
    + * Fixed minor error in calculation of resistive loss due to proximity effect.
    + [11-Sep-21]
    + * Added visual cues for all slider-controlled parameters to highlight which parameter is being modified in the graphic representation.
    + [10-Sep-21]
    + * Added c/a display to graphic representation. Moved N from center to left.
    + [30-Aug-21]
    + * Added SRF calculation and display for multi-loop antennas.
    + [28-Aug-21]
    + * Added support for imperial units and for aluminum metal.
    + [27-Jul-21]
    + * Added total conductor length display.
    + [24-Jul-21]
    + * Added loop circumference display.