Elecrostatics formulas

Every formula JEE Advanced expects you to know for Elecrostatics, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

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Formulas: 34
Subject: Physics
Exam: JEE Advanced
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Elecrostatics, every formula

34 formulas, typeset and free. Print it, or keep it open beside your practice.

Coulomb's force
$F = \frac{1}{4 π ε _{0}} \frac{q _{1} q _{2}}{r ^{2}}$
Coulomb constant
$k = \frac{1}{4 π ε _{0}} = 9 \times 1 0^{9} N m^{2} C^{- 2}$
Electric field
$E = \frac{F}{q} = \frac{k Q}{r ^{2}} \overset{r}{^}$
Force on a charge
$F = q E$
Field of a line charge
$E = \frac{λ}{2 π ε _{0} r} = \frac{2 k λ}{r}$
Field of a nonconducting sheet
$E = \frac{σ}{2 ε _{0}}$
Field of a conducting sheet
$E = \frac{σ}{ε _{0}}$
Field on the axis of a ring
$E = \frac{k Q x}{( R ^{2} + x ^{2} ) ^{3/2}}$
Field at the centre of a ring
$E = 0$
Field of a shell (outside/inside)
$E = \frac{k Q}{r ^{2}} (r > R), E = 0 (r < R)$
Field inside a solid sphere
$E = \frac{k Q r}{R ^{3}} (r < R)$
Field of a dipole (axial)
$E = \frac{2 k p}{r ^{3}}$
Field of a dipole (equatorial)
$E = \frac{k p}{r ^{3}}$
Field of a dipole (general point)
$E = \frac{k p}{r ^{3}} 1 + 3 cos^{2} θ$
Electric potential
$V = \frac{k Q}{r}$
Potential of a dipole
$V = \frac{k p cos θ}{r ^{2}}$
Potential of a shell
$V = \frac{k Q}{r} (r > R), V = \frac{k Q}{R} (r < R)$
Field from potential
$E = - \frac{d V}{d r} = - \nabla V$
Electric flux
$ϕ = E \cdot A = E A cos θ$
Gauss's law
$ϕ = \oint E \cdot d A = \frac{q _{in}}{ε _{0}}$
PE of two charges
$U = \frac{k q _{1} q _{2}}{r}$
PE of a point charge
$U = q V$
Dipole moment
$p = q d$
Torque on a dipole
$τ = p \times E, τ = pE sin θ$
PE of a dipole
$U = - p \cdot E = - pE cos θ$
Energy density
$u = \frac{1}{2} ε_{0} E^{2}$
Electrostatic pressure
$P = \frac{σ ^{2}}{2 ε _{0}}$
Self energy of a shell
$U = \frac{k Q ^{2}}{2 R}$
Self energy of a solid sphere
$U = \frac{3 k Q ^{2}}{5 R}$
Field near a conductor
$E = \frac{σ}{ε _{0}}$
Field inside a conductor
$E = 0$
Work in moving a charge
$W = q (V_{B} - V_{A})$
Charge sharing between spheres
$σ_{1} R_{1} = σ_{2} R_{2}$
Field of an arc at the centre
$E = \frac{2 k λ}{R} sin (\frac{α}{2})$

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Elecrostatics formulas

Elecrostatics, every formula

Coulomb's force

Coulomb constant

Electric field

Force on a charge

Field of a line charge

Field of a nonconducting sheet

Field of a conducting sheet

Field on the axis of a ring

Field at the centre of a ring

Field of a shell (outside/inside)

Field inside a solid sphere

Field of a dipole (axial)

Field of a dipole (equatorial)

Field of a dipole (general point)

Electric potential

Potential of a dipole

Potential of a shell

Field from potential

Electric flux

Gauss's law

PE of two charges

PE of a point charge

Dipole moment

Torque on a dipole

PE of a dipole

Energy density

Electrostatic pressure

Self energy of a shell

Self energy of a solid sphere

Field near a conductor

Field inside a conductor

Work in moving a charge

Charge sharing between spheres

Field of an arc at the centre

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