Formulas for Tesla coils

http://teslacoils4christ.org/TCFormulas/TCFormulas.htm#capreac

On this page are listed Tesla coil formulas for a reference to those who prefer to make calculations on paper. Below is a table of formulas on this page.

Ohm's Law

E = IZ                 P = IE

E = volts

I = current in amps

Z = impedance or resistance in ohms

P = power in watts

Transformer Input and Output

EpIp = EsIs

EP = primary voltage

IP = primary current in amps

ES = secondary voltage

IS = secondary current in amps

Capacitive Reactance

XC = capacitive reactance in ohms

F = frequency in hertz

C = capacitance in farads

Inductive Reactance

XL = inductive reactance in ohms

F = frequency in hertz

L = inductance in henrys

Resonant Circuit Formula

F = frequency in hertz

L = inductance in henrys

C = capacitance in farads

Spiral Coil Inductance

T = AH

L = length of wire in feet

D = outer diameter of coil form in inches

H = height of windings in inches

A = number of turns per inch

T = total number of turns

B = thickness of wire in inches

Medhurst

C = self capacitance in picofarads

R = radius of secondary coil in inches

L = length of secondary coil in inches

Toroid Capacitance

C = capacitance in picofarads

D1 = outside diameter of toroid in inches

D2 = diameter of cross section of toroid in inches

This equation courtesy Bert Pool.

Sphere Capacitance

C = capacitance in picofarads

R = radius in inches

Plate Capacitors

C = capacitance in microfarads

K = dielectric constant

A = area of each plate in square inches

N = number of plates

D = distance between plates in inches (thickness of dielectric)

Leyden Jar Capacitors

C = capacitance in microfarads

K = dielectric constant

D = diameter of jar in inches

H = height of jar in inches

T = thickness of jar in inches

AC RMS and Peak Voltage

ERMS = 0.7071·E P

ERMS = RMS voltage

EP = peak voltage

Rotary Spark Gap Firings per Second

F = firings per second (hertz)

R = motor RPM rating

E = number of rotary electrodes

Rotary Spark Gap Electrode Speed

S = electrode speed (MPH)

R = motor RPM rating

D = diameter of electrode placement circle (inches)

Energy for L and C

Capacitance           Inductance

J = 0.5 V² C           J = 0.5 I² L

J = joules of energy stored

V = peak charge voltage

I = peak current

C = capacitance in farads

L = inductance in henries

Peak values of V and I are stated in order to emphasize not to use RMS values. The energy stored at any given time is of course:

J(t) = 0.5 [V(t)]² C and J(t) = 0.5 [I(t)]² L.