__Tesla Coil__

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V = I * Z | P = I * V |

V = volts

I = current in amps

Z = impedance or resistance in ohms

P = power in watts

### Non Resonant Transformer Input and Output

E_{P}*I_{P} = E_{S}*I_{S}

E_{P} = primary voltage

I_{P} = primary current in amps

E_{S} = secondary voltage

I_{S} = secondary current in amps

### Capacitive Reactance

X_{C}_{ } = 1 / ( 2 * * F * C )

X_{C} = capacitive reactance in ohms

F = frequency in hertz

C = capacitance in farads

### Inductive Reactance

X_{L } = 2 * * F * L

X_{L} = inductive reactance in ohms

F = frequency in hertz

L = inductance in henrys

### Resonant Circuit Formula

F = 1/( 2 * * ((L * C))

F = frequency in hertz

L = inductance in henrys

C = capacitance in farads

### Spiral Coil Inductance

L = ( N*R )^{2} / ( 8*R + 11*W )
L = inductance of coil in microhenrys (�H) |

### Helical Coil Inductance

L = ( N*R )^{2} / ( 9*R + 10*H )L = inductance of coil in microhenrys (�H) N = number of turns R = radius of coil in inches H = height of coil in inches |

### Inverse Conical Coil Inductance

L_{1} = ( N*R )^{2} / ( 9*R + 10*H )L _{2} = ( N*R )^{2} / ( 8*R + 11*W ) L = ( (L_{1}* sin(x))^{2} + (L_{2}* cos(x)) ^{2 )
}L = inductance of coil in microhenrys (�H)L _{1} = helix factorL _{2} = spiral factorN = 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 |

### Medhurst

C = 0.29 * L + 0.41 * R + 1.94 * (R^{3} / L )

C = self capacitance in picofarads

R = radius of secondary coil in inches

L = length of secondary coil in inches

### Toroid Capacitance

C = 1.4 * ( 1.2781 – (D_{2} / D_{1}) ) ( * D_{2} * (D_{1} – D_{2}) )

C = capacitance in picofarads

D_{1} = outside diameter of toroid in inches

D_{2} = diameter of cross section of toroid in inches

### Sphere Capacitance

C = (25.4*R) / 9

C = capacitance in picofarads

R = radius in inches

### Plate Capacitors

C =( .224 * K * A ( N -1) ) / (1000000 * D )

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)

### Energy Stored in a Capacitor

J = 0.5 * V^{2} * C

J = joules of energy stored

V = peak charge voltage

I = peak current

C = capacitance in farads

### Energy for and Inductor

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

** Inductance of a circular loop of wire (Wheeler)
**

R = Wire Radius

a = Loop Radius

Lo = Inductance of loop

Lo = m_{0}* a * (ln((8 * a) /R) -2)

** Inductance of two parallel wires (Wheeler)
**

R = Wire Radius

l = Length of wires

d= spacing of wires

Lo = Inductance of wires.

Lo = (m_{0}* l / d) * (ln(d / R) -1)

** Inductance of two parallel inductors
**

Lt = Total Inductance

L_{x} = Inductance

M = mutual inductance between inductors

1/L_{t} = (1 / (L_{1}* [+/-]M)) + (1 / (L_{2}* [+/-]M))

** Inductance of two series inductors
**

Lt = Total Inductance

L_{x} = Inductance

M = mutual inductance between inductors

L_{t} = (L_{1} + L_{2}) + [^{+}/-]2M)

** Magnetic field around a single conductor
**

R=radius from wire

I=Current in wire

B=Magnetic Field Strength

B=(m_{0}* I) / (2 * * R)

** Resonant Transformer Voltage Multiplication from Inductance
**

V_{s}= Voltage on Secondary

V_{p}= Voltage on Primary

L_{s}= Inductance of Secondary

L_{p}= Inductance of Primary

V_{s}= V_{p} (L_{s} / L_{p})

**Resonant Transformer Voltage Multiplication from Capacitance
**

V_{s}= Voltage on Secondary

V_{p}= Voltage on Primary

C_{s}= Inductance of Secondary

C_{p}= Inductance of Primary

V_{s}= V_{p}(C_{p} / C_{s})

** Current Transformer Turns to Current ratio.
**

I_{p}= Primary Current

I_{s}= Secondary Current

N_{p}= Turns on Primary

N_{s}= Turns on Secondary

I_{p}/ I_{s}= N_{s}/ N_{p}