Posts Tagged ‘Horse Power’

Tesla Coil Energy

January 9, 2021

Just a simple calculation of what sort of energy is in a resonant coil:

Here are the basic parameters:

R = 0.424 ohms (Wire)
L = 0.0934 henry (Coil)
C = 1466 pF (Capacitor)
V = 58 volts RMS

The resonant frequency
F = 1/(2xpixsqr(LxC)) = 43 Khz

The maximum amperage peak
I = Vs/R = 136.66 amps max

The root mean squared amperage
Irms = I / sqrt(2) = 96.638 amps RMS

The VA generator apparent power input required
VA = V x Irms = 5605 watts VA Rms

The inductive reactance
XL= 2xpixLxF = 2524.53 ohms

The capacitive reactance
XC= 1/(2xpixCxF) = 2524.53 ohms

The Quality of the Coil
Q = XL / R = 5948.65

The Voltage magnification of the coil
VL= XLxI = Q x V = 345022 volts RMS

The potential rise inside the Capacitor
VC= XCxI = 345022 volts RMS

Energy circulating in the Coil and the Capacitor
WL=1/2 x L x Irms^2 = 174.5 joules max
WC=1/2 x C x VC^2 = 174.5 joules max

The Resonant Condition
XL = XC
VL = VC
WL = WC

As you can see all the energy is continuously oscillating between the coil and the capacitor, or between the magnetic component of electricity and the electrostatic component of electricity. This energy can be expressed as watts and horse power as Tesla has done in his many articles, thus describing the massive movement of energy per second, allowing the reader to sense that it is a very powerful oscillator.

time = 1/frequency = 0.000023254 seconds

Watts = joules / time

Watts = 174.5 / 0.000023254

Watts = 7504699 watts

Horse Power = 7504699 / 745.697 = 10064 HP