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**

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E = IZ P = IE

E = volts

I = current in amps

Z = impedance or resistance in ohms

P = power in watts

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**Transformer Input and Output**

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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**

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XL = inductive reactance in ohms

F = frequency in hertz

L = inductance in henrys

**Resonant Circuit Formula**

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F = frequency in hertz

L = inductance in henrys

C = capacitance in farads

**Spiral Coil Inductance**

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L = inductance of coil in microhenrys (µH)

R = average radius of the coil in inches

N = number of turns

W = width of the coil in inches

**Helical Coil Inductance**

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L = inductance of coil in microhenrys (µH)

N = number of turns

R = radius of coil in inches (Measure from the center of the coil to the middle of the wire.)

H = height of coil in inches

**Inverse Conical Coil Inductance**

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L = inductance of coil in microhenrys (µH)

L1 = helix factor

L2 = spiral factor

N = number of turns

R = average radius of coil in inches

H = effective height of the coil in inches

W = effective width of the coil in inches

X = rise angle of the coil in degrees

**Secondary Coil Dimensions**

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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**

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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**

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F = firings per second (hertz)

R = motor RPM rating

E = number of rotary electrodes

**Rotary Spark Gap Electrode Speed**

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S = electrode speed (MPH)

R = motor RPM rating

D = diameter of electrode placement circle (inches)

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**Energy for L and C**

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Capacitance Inductance

J = 0.5 V^{2} C J = 0.5 I^{2} 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.

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