-
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:
-
-
-
-
-
-
-
-
-
-
-
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.