Mutual Inductance Program V3.1
Copyright (c) 1998, 1999, 2000 by Mark S. Rzeszotarski, Ph.D.
Solenoidal Primary Coil Geometry
Primary coil inside diameter (inches)= 24.000
Primary coil outside diameter (inches)= 24.000
Number of primary coil turns = 1.000
Last turn elevation in inches = 1.000
Wire diameter (inches)= .1180
Solenoidal Secondary Coil Geometry
Secondary coil diameter (inches)= 24.000
Secondary coil height (inches)= 7.900
Number of secondary coil turns = 5.250
Secondary coil wire diameter (inches)= .1180
Calculational Results
Primary coil inductance in microhenries: Lp = 1.56
Secondary coil inductance in microhenries: Ls = 21.48
Figure of Merit (square root of Ls/Lp) = 3.71
Primary coil wire length in feet = 6.28
Secondary coil wire length in feet = 32.99
DC secondary resistance in ohms: .03
Secondary coil distributed capacitance in picofarads: 35.51
(Medhurst formula, assumes one end of secondary is grounded)
Mutual Inductance Results
Position is the secondary coil bottom wire position in inches
above the bottom wire of the primary coil.
A negative value means the bottom wire of the
secondary is below the bottom wire of the primary.
A positive value means that the bottom wire of the
secondary is above the bottom wire of the primary coil.
M = Mutual Inductance in microhenries
K = Coefficient of Coupling: K = M / square root ( Lp x Ls )
Position M K
.000 3.680 .6364
.500 3.011 .5207
1.000 2.645 .4574
1.500 2.373 .4103
2.000 2.152 .3721
Operating Characteristics
Ctoroid is the added capacitance of the top terminal.
Fres is the resonant operating frequency in kilohertz.
Cpri is the required primary capacitance in nanofarads.
Zpri is the primary surge impedance in ohms.
Zsec is the secondary surge impedance in ohms.
Qsec is the secondary coil quality factor Q.
Rac is the secondary coil RF resistance in ohms.
Ctoroid(pF) .0 5.0 10.0 15.0 20.0 25.0 30.0 35.0
Fres(kHz) 5763.2 5395.8 5090.8 4832.2 4609.5 4414.9 4243.1 4089.9
Cpri (nF) .49 .56 .63 .70 .77 .83 .90 .97
Zpri(ohms) 56.4 52.8 49.8 47.3 45.1 43.2 41.5 40.0
Zsec(ohms) 778. 728. 687. 652. 622. 596. 573. 552.
Qsec 1096.0 1060.2 1029.6 1002.8 979.1 958.0 938.9 921.6
Rac (ohms) .7 .7 .7 .7 .6 .6 .6 .6