Electrostatic Potential and Capacitance — Formula Sheet
Madhya Pradesh Board · Class 12 · Physics
12 formulas from Electrostatic Potential and Capacitance (Madhya Pradesh Board Class 12 Physics) on one page, grouped by topic.
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Formulas and Key Relations
2. Potential and Potential Energy
W_RP = ∫_R^P F_ext · dr
ΔU = U_P - U_R = W_RP
V(r) = Q / (4πε0 r)
V = (1 / 4πε0) (q1 / r1P + q2 / r2P + ... + qn / r nP)
Potential energy of charge in external field = qV(r)
3. Dipole Potential and Dipole Energy
U(θ) = -p · E
τ = p × E
Potential on dipole axis = ± (1 / 4πε0) (p / r^2)
4. Equipotential Surfaces and Field
|E| = -δV/δl = +|δV|/δl
Potential Due to Dipole and a System of Charges
Dipole moment has magnitude p = q × 2a and points from -q to q.
Key relations
For a point charge Q at distance r, V(r) = Q/(4πε0r).
The total potential is the algebraic sum of potentials due to individual charges: V = (1/4πε0)(q1/r1P + q2/r2P + ... + qn/rnP).
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