List of All Electrostatics Formulas

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

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Capacitance


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

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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.

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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.

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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.

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Spiral Coil Inductance


Spiral Coil Inductance:

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

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Capacitive Reactance


Capacitive Reactance:

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

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Inductive Reactance, Frequency and Inductance


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

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AC to DC Conversion

Formula:
AC = DC / 0.636

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

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Coplanar Waveguide (CPW)

Formula:

Dielectric Constant

Characteristic Impedance




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).

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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.

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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.

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Transmission Power Line Loss

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

Where,      
RL = (r / 1000) × l

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Electric Field

Formula Used:

E = F / P

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Antenna 3db Beamwidth

Formula:



Beamwidth = 70λ / D

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

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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.

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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

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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.

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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

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Three Phase Electric Power


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

Where ,

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

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

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Electric Motor Horsepower (HP)


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

Where ,

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

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

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Single Phase Electric Power

Formula :

Single Phase Electric Power = V x I x PF


Where ,

V = Voltage
I = Current
PF = Power Factor

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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

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Coulombs Law of Force

Formula :

F = K x ( Q1 x Q2 ) / r2
K = 1 / ( 4πε0 )



Where,

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

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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

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Resonant Frequency


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

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Series Resonant Frequency


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

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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

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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

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Capacitance of a Sphere

Formula:

C = 4πεoεra


Where,

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

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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

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Coefficient of Finesse

Formula:

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


Where,

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

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Cyclotron Frequency

Formula:

ωc = (q x B) / m


Where,

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

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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

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Larmor Radius

Formula:

rL = ( v⊥ / ωc )


Where,

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

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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)

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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

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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)
B = Outer Radius
A = Inner Radius

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Self Inductance of Coil

Formula:

I = E / C


Where,

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

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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

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Mutual Inductance

Formula:

I = K × √( L1 × L2 )


Where,

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

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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
r = Radius (m)

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Electrostatic Energy Density

Formula:

d = (1 / 2) × e × e × n


Where,

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

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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

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Capacitor Energy

Formula:

Capacitor Energy = (1 / 2) x CV2


Where,

C = Capacitance
V = Voltage

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Electrostatic Energy Stored in Capacitor

Formula:

U = Q² / (2 × C)


Where,

U = Stored Energy
Q = Electricl Charge
C = Capacitance

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