Re: Self Capacitance formulas

>>From Esondrmn-at-aol-dot-com Wed Jan 10 10:45 MST 1996
>What is the equation for self capacitance?  I assume the above formula is for
>close wound coils, is this corrrect?   How do you do calculations for space
>wound coils?
>Thanks,  Ed Sonderman
Hello Ed and others interested in self capacitance,
        I use the formula attributed to Medhurst for self capacitance
estimation.  It gives values which are fairly close to what I measure
experimentally.  The formula does not take into account wire spacing, so it
may be in error somewhat for spacewound coils.  I suspect space winding does
not substantially alter the distributed capacitance, however.  I have seen
no formula for spacewound coils.

 Medhurst's formula:    C  = K x D

where:  C = capacitance in picofarads
        K = constant which depends on the ratio of the coil height to diameter
        x = means multiply K times D
        D = solenoidal coil diameter in centimeters
        H = coil height in centimeters

        H/D       K
        5.0     0.81
        4.5     0.77
        4.0     0.72
        3.5     0.67
        3.0     0.61
        2.5     0.56
        2.0     0.50
        1.5     0.47
        1.0     0.46

Sorry, I do not have my references handy here to tell you where I got this.
If you want to know, send me E-mail privately.
>I was looking at some formulas you published on 8-10-95 (Tesla Math
>Formulary).  Re: Equation # 6, Frequency of Coil, does this formula take into
>account the self capacitance of the coil?
Regarding formula #6 for calculating resonant frequency,  that formula
estimates resonant frequency based on a quarter wavelength of wire alone.
The resonant frequency of a secondary coil will be lower than that due to
distributed capacitance (above) and the toroid placed on top.  It is more
accurate to estimate operating frequency using the f=1/(2 x pi x sqrt(L x
C)) formula, where L is the inductance of a solenoid in henries, and C
includes the distributed capacitance plus the toroid capacitance, in units
for Farads.  To get a ballpark C value, compute the distributed capacitance
above and double it.  If you use large toroids (good thing if you have
enough available power), add another 10-30 picofarads to C to take into
account the capacitance of the large toroid.
Mark S. Rzeszotarski, Ph.D.