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+
Notes:
+ RF Inductor Calculator was developed to help users predict the RF characteristics of a single-layer solenoid-style air-core inductor.
+
Inputs via the slider widgets:
+
+ - ⌀a : Conductor diameter slider changes SWG from 0-50. Actual diameter displayed in decimal inches.
+ - ⌀b : Loop diameter in decimal inches (inches).
+ - c/a : 'c' is the winding-to-winding distance, measured from the conductor mid-points. The 'a' is the conductor diameter, so 'c/a' is the spacing ratio. (c/a >= 1.1)
+ A low-value will increase the resistance due to the proximity effect.
+ - N : Number of turns or windings.
+ - f : The frequency of interest (MHz) for some of the calculations.
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+
Characteristics on the left are independent of frequency, while the characteristics on the right are dependent on the selected frequency.
+ Each of the graphic representations attempt to keep the relative geometry correct, without exceeding the drawing boundary. The coil diameter
+ relative to the conductor diameter are representative.
+
Calculated dimensions:
+
+ - ⌀o : Outer loop diameter (inches)
+ - ⌀i : Inner loop diameter (inches) - corresponds to the diameter of the winding former.
+ - c : Distance between windings, measured from the conductor centers (inches).
+ - ℓ : Length of the coil (inches). Equal to c x N.
+
+
Calculated parameters:
+
+ - L : Inductance is calculated using Nagaoka's equation incorporating his coefficient.
+ - C : Capacitance is calculated using Knight's 2016 paper on self-resonance and self-capacitance of solenoid coils.
+ - Rdc : DC resistance is calculated using conductor length divided by the conductor cross-sectional area, assuming a copper conductor.
+ - SRF : Self-resonant frequency (MHz) for the unloaded coil. Currently using a lumped reactances model. (Looking into modifying the model to
+ use the conductor length and velocity factor as described by Knight (2016).
+ - Xₗ : Inductive reactance at the given frequency. (Ω)
+ - |Z| : Impedance at the given frequency. (Ω)
+ - δ : Skin depth due to skin effect (μm)
+ - 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.
+ - Q : Quality factor of device, based on reactance (X) ÷ resistance (Rac) at the given frequency.
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