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< title > VK3CPU Magloop Antenna Calculator Equations< / title >
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< header > < b > < a href = "mailto:vk3cpu@gmail.com" > VK3CPU< / a > - < a href = "./magloop.html" > Magloop Antenna Calculator< / a > Equations:< / b > < / header >
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< b > For single-turn circular loop inductance:< / b > < br >
< img src = "MagloopSingleTurnInductance.png" alt = "magloop single-turn loop antenna inductance" > < br >
< i > [r_loop - loop radius in meters; r_conductor - conductor radius in meters]< / i > < br > < br >
< b > For multi-turn circular loop inductance:< / b > < br >
< img src = "MagloopMultiTurnInductance.png" alt = "magloop multi-turn loop antenna inductance" > < br >
< i > [k_nagaoka - Nagaoka coefficient; l_coil - length of the coil in meters; r_loop - radius of the loop in meters]< / i > < br > < br >
< b > For octagonal loop antenna inductance:[F W Grover]< / b > < br >
< img src = "L_oct.png" alt = "octagonal magloop antenna inductance" > < br >
< i > [N - turns; s - section side length m; r - loop radius in m; b - coil length in m]< / i > < br > < br >
< b > For hexagonal loop antenna inductance:[F W Grover]< / b > < br >
< img src = "L_hex.png" alt = "hexagonal magloop antenna inductance" > < br >
< i > [N - turns; s - section side length m; r - loop radius in m; b - coil length in m]< / i > < br > < br >
< b > For square loop antenna inductance:[F W Grover]< / b > < br >
< img src = "L_sqr.png" alt = "square magloop antenna inductance" > < br >
< i > [N - turns; s - section side length m; r - loop radius in m; b - coil length in m]< / i > < br > < br >
< b > Loss resistance:< / b > < br >
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< img src = "MagloopLossResistance.png" alt = "magloop multi-turn loss resistance" > < br > < br >
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< b > Surface resistance:< / b > < br >
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< img src = "MagloopSurfaceResistance.png" alt = "magloop surface resistance of conductor" > < br > < br >
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< b > Radiation resistance for circular loop:< / b > < br >
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< img src = "MagloopRadiationResistance.png" alt = "multi-turn magloop radiation resistance" > < br > < br >
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< b > Radiation resistance for octagon, hexagon and square loop:< / b > < br >
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< img src = "MagloopRadiationResistanceGrover.png" alt = "multi-turn magloop radiation resistance" > < br > < br >
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< b > Radiation efficiency:< / b > < br >
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< img src = "MagloopEfficiency.png" alt = "magloop antenna efficiency" > < br > < br >
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< b > Q factor:< / b > < br >
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< img src = "MagloopQ.png" alt = "magloop antenna Q factor" > < br > < br >
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< b > Capacitor voltage:< / b > < br >
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< img src = "Vcap.png" alt = "magloop antenna capacitor voltage" > < br > < br >
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< b > Loop current:< / b > < br >
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< img src = "I_loop.png" alt = "magloop antenna loop current" > < br > < br >
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< b > Bandwidth:< / b > < br >
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< img src = "BW.png" alt = "magloop antenna bandwidth" > < br > < br >
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< b > Single-loop capacitance:< / b > < br >
< img src = "C_loop.png" alt = "magloop antenna multi-turn loop capacitance" > < br >
< i > [l_perimeter - conductor perimeter length in meters]< / i > < br > < br >
< b > Multi-loop capacitance:< / b > < br >
< img src = "MultiloopCapacitance.png" alt = "magloop antenna multi-turn loop capacitance" > < br >
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< i > [Based on David W Knight's (G3YNH) paper "The self-resonance and self-capacitance of solenoid coils: applicable theory, models and calculation methods"]< / i > < br >
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