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All Electrostatics Formulas List

Cherenkov Cone Angle

Formula:

θ = sin -1(c/η*υ)

Where,

θ = Cherenkov Cone Angle
c = Speed of Light
η = Refractive Index
υ = Particle Velocity
θ = Cone Semi-Angle
sin = Sine

Capacitance

Capacitance:
Capacitance:
Electrical Charge:
Potential Difference:
where,
C = Capacitance,
Q = Electrical Charge,
V = Potential Difference.

Parallel Plate Capacitor, Capacitance, Permittivity, Area and Separation Distance

Parallel Plate Capacitor:
Capacitance:
Permittivity:
Area:
Separation Distance:
where,
C = Capacitance,
ε = Permittivity,
A = Area,
s = Separation Distance.

Cylindrical Capacitor Capacitance, Permittivity, Length of Conductors, Outer and Inner Conductor Diameter

Cylindrical Capacitor:

Capacitance:
Permittivity:
Length of Conductors:
Outer Conductor Diameter:
Inner Conductor Diameter:
where,
C = Capacitance,
ε = Permittivity,
L = Length of Conductors,
b = Outer Conductor Diameter,
a = Inner Conductor Diameter.

Inductance, Number of Turns in a Coil, Core Material Permeability, Coil Area and Average Coil Length

Inductance: Inductance:
Wire Coil Number of Turns:
Core Material Permeability:
Coil Area:
Average Coil Length:
where,
L = Inductance,
N = Wire Coil Number of Turns,
µ = Core Material Permeability,
A = Coil Area,
l = Average Coil Length.

Spiral Coil Inductance

Spiral Coil Inductance:

Inductance:
where,
L = Inductance,
N = Wire Coil Number of Turns,
d = Coil Depth.

Capacitive Reactance

Capacitive Reactance:

Capacitive Reactance:
Frequency:
Capacitance:
where,
XC = Capacitive Reactance,
f = Frequency,
C = Capacitance.

Inductive Reactance, Frequency and Inductance

Inductive Reactance:
Inductive Reactance:
Frequency:
Inductance:
where,
XL = Inductive Reactance,
f = Frequency,
L = Inductance.

AC to DC Conversion

Formula:
AC = DC / 0.636

Where,
AC - Alternating Current
DC - Direct Current
0.636 - Constant

Coplanar Waveguide (CPW)

Formula:

Where,

εff  = Effective Dielectric Constant.
Zo =Characteristic Impedance.
εr   = Relative Dielectric Constant.
K(K1),K(K2),K(K3)    = Elliptical integrals.
K'(K1),K'(K2),K'(K3) = Complements of  K(K1),K(K2) and K(K3).

CPU Power Consumption

Formula Used

CPU Overclocked Watts = Default Watts x ( S0 / S ) * ( V0 / V ) ^ 2.

Where,

S0 = Overclocked Processor Speed,
S = Default Processor Speed,
V0 = Overclocked Processor Vcore Voltage,
V = Default Processor Vcore Voltage.
Processor Temperature = ( C/W Value x Overclocked Wattage) + Case Temperature.

Processor Heat Sink

Formula Used
CPU Overclocked Watts = Default Watts x ( S0 / S ) * ( V0 / V ) ^ 2.

Processor Temperature = ( C/W Value x Overclocked Wattage) + Case Temperature.

Heat sink is a physically designed device to cool the electronic device.

Transmission Power Line Loss

Formula :
Line Loss = 10 × Log [1 - (2 × RL) / ((2 × RL) + (v2 / P))]

Where,
RL = (r / 1000) × l

E = F / P

Antenna 3db Beamwidth

Formula:

Beamwidth = 70λ / D

where,
λ = Wavelength
D = Diameter
Antenna 3db Beamwidth is calculated easily using this electronics calculator.

Capacitors Power Factor

Formula:
Original KVA = KW / Current PFNew KVA = KW / Desired PF

Where,

PF - Power Factor
KW - KiloWatts
kVA - Kilo Volt Amperes
Calculation of Capacitors Power Factor Correction is made easier here using this online electrical calculator.

Electrical Wire Resistivity

Formula

:
ρ = (R × A) / l

Where,
ρ = Electrical Resistivity
R = Electrical Resistance
A = Cross-sectional Area
l = Length
Calculation of Wire Resistance for electrical resistivity is made easier

Total Inductance in Parallel Circuit

Formula :
LT = (L1 × L2) / (L1 + L2)

Where,

LT = Total Inductance Value
L1 = Inductor L1
L2 = Inductor L2
Inductance Value in parallel circuit is calculated easily using this electrical electronics calculator.

Biot Savart Law

Formula:
Magnetic Field (B) = (μ0 / 4π) (Q v sinθ / r2)

Where,

μ0 = Permeability of a vacuum (4π x 10-7 N A-2)
Q = Point Charge
v = Velocity
r = Distance
θ = Angle between v and r

Three Phase Electric Power

Formula :
Three Phase Electric Power = V * I * 1.732 * PF

Where ,

V = Voltage
I = Current
PF = Power Factor (0.8)

Related Calculator:

Three Phase Electric Power calculation is made easier here using this online electrical calculator.

Electric Motor Horsepower (HP)

Formula :
HP = (E x I x Eff) / 746

Where ,

HP = Horsepower
E = Voltage
I = Current
Eff = Efficiency

Related Calculator:

DC Motor Horsepower calculation is made easier here using this electrical calculator.

Single Phase Electric Power

Formula :

Single Phase Electric Power = V x I x PF

Where ,

V = Voltage
I = Current
PF = Power Factor

Quality (Q) Factor of an Inductor

Formula :

Q Factor = ω L / R

Where,

ω = 2 π f
π = 3.14
L = Inductance
R = Internal Resistance

Coulombs Law of Force

Formula :

F = K x ( Q1 x Q2 ) / r2
K = 1 / ( 4ÏÎµ0 )

Where,

K = Coulomb constant = 8.99 x 10^9
Q1 & Q2 = Points charge
r = Distance
F = Electrostatic Force

Quality (Q) Factor of an Inductor

Formula:

Quality Factor (Q) =2*Π*F*L / R

Where,

Π=3.1415929203539825
F=Frequency of Circuit
L=Capacitance Value
R=Resistance Value

Resonant Frequency

Formula:
Resonant frequency = 1 / 2 π LC
where,
L=value of Inductance
C=value of capacitor

Series Resonant Frequency

Formula:
Resonant frequency = 1 / 2 π LC
where,
L= value of Inductance
C= value of capacitor

Voltage Across Inductance

Formula:
Ohms Law for an Inductor: V = L (di/dt)

Where,
V - Voltage drop across inductor
L - Inductance in henry
di/dt - instantaneous rate of change of current with respect to time

Mean Flux Density of Oscillating Electric Dipole

Formula:

N = ((ω4*po2*sin2θ) / (32*π2o*c3*r3)) * v

Where,

N = Mean Flux Density of Oscillating Electric Dipole
ω = Oscillation Frequency
po = Amplitude Of Dipole Moment
θ = Angle
εo = Permittivity Of Free Space
c = Speed Of Light
r = Distance
v = Vector From Dipole

Capacitance of a Sphere

Formula:

C = 4πεoεra

Where,

C = Capacitance of Sphere
εo = Permittivity of Free Space
εr = Relative Permittivity

Alfven Velocity

Formula:

vA = B / (μo * ρ)1/2

Where,

vA = Alfven Speed
B = Magnetic Flux Density
μo = Permeability Of Free Space
ρ = Plasma Mass Density

Coefficient of Finesse

Formula:

F=4*R / (1-R)2

Where,

F = Coefficient Of Finesse In A Fabry-Perot Interferometer
R = Interface Power Reflectance

Cyclotron Frequency

Formula:

ωc = (q x B) / m

Where,

ωc = Cyclotron Angular Frequency
q = Particle Charge
B = Magnetic Flux Density
m = Particle Mass

Skin Effect Depth

Formula:

ω = 2π * f
δ = √((2 * ρ) / (ω * μr * μo))

Where,

δ = Skin Effect
f = Frequency
ρ = Resistivity of the Conductor
ω = Angular Frequency of Current
μr = Relative Magnetic Permeability of the Conductor
μo = Permeability of Free Space

Formula:

rL = ( v⊥ / ωc )

Where,

v⊥ = Speed Perpendicular To Magnetic Flux Density
ωc = Cyclotron Angular Frequency

Coil Inductance

Formula:

Inductance = n2 × μo × μr × ( l / 2 ) × ( ln( ( 8 × l ) / d) -2)

Where,

N = Number of Turns
μr = Relative Permeability
L = Loop Diameter(m)
D = Wire Diameter(m)
μo = Permeability of Free Space(4 × π × 10-7)

Air Core Inductor

Formula:
Inductance = (d2 x n2) / ((18 × d) + (40 ×l))

Where,

d = Coil Diameter (inch)
l = Coil Length (inch)
n = Number of Turns

Toroid Inductance

Formula:

Inductance = ( N 2 × H × μ0 × ln ( B / A ) ) / ( 2 × π )

Where,

N = Number of Turns
H = Height
μ0 = Permeability of Free Space (4 × π × 10-7)

Self Inductance of Coil

Formula:

I = E / C

Where,

I = Inductance
E = Induced Electromotive Force
C = Rate of Change of Current

Self Inductance Using Magnetic Flux

Formula:

I = ( N × P) / C

Where,

I = Inductance
N = Number of Turns in the Coil
P = Magnetic Flux
C = Current Flow

Mutual Inductance

Formula:

I = K × √( L1 × L2 )

Where,

I = Inductance
K = Coupling Coefficient
L1 = Inductance
L2= Inductance

Electrostatic Energy of a Uniformly Charged Sphere

Formula:

e = (3 / 5) × q × q / (4 × π × r × 8.85418782 × 10-12)

Where,

e = Electrostatic Energy
q = Total Charge

Electrostatic Energy Density

Formula:

d = (1 / 2) × e × e × n

Where,

d = Energy Density
e = Electric Field
n = 8.8541×1012 F/m

Force Between Two Parallel Wires

Formula:

F = (μ × I1 × I2 × L) / (2 × π × D)

Where,

F = Force
μ = Permeability
I1 = Current on Wire1
I2 =Current on Wire2
L = Wire Length
D = Distance Between Two Wires

Capacitor Energy

Formula:

Capacitor Energy = (1 / 2) x CV2

Where,

C = Capacitance
V = Voltage

Electrostatic Energy Stored in Capacitor

Formula:

U = Q² / (2 × C)

Where,

U = Stored Energy
Q = Electricl Charge
C = Capacitance