NoteTube

Part of JES-02 — Electrostatic Potential, Capacitance & Energy

Potential Due to Standard Configurations

by Notetube Official120 words123 views

Point charge Q at distance r: V = kQr\frac{kQ}{r}. Uniformly charged ring (Q, radius R) on axis at distance x: V = kQsqrt\frac{kQ}{sqrt}(x2x^2 + R2R^2). Uniformly charged sphere outside (r >= R): V = kQr\frac{kQ}{r} (point charge behavior). Inside solid sphere (r < R): V = kQ3R2r2(2R3)\frac{3R^2 - r^2}{(2R^3)} — note V is maximum at center: VcenterV_{center} = 3kQ2R\frac{kQ}{2R} = \frac{3}{2}$$V_{surface}. Inside hollow sphere: V = kQR\frac{kQ}{R} (constant, equal to surface value). Electric dipole at far point (r, theta): V = kp*costhetar\frac{theta}{r}^2. Axial: V = kpr\frac{kp}{r}^2. Equatorial: V = 0 (the equatorial plane is at zero potential for a dipole). Key insight: V decreases as 1/r for point charge but as 1/r2r^2 for dipole — dipole potential falls off faster.

Like these notes? Save your own copy and start studying with NoteTube's AI tools.

Sign up free to clone these notes
Potential Due to Standard Configurations — Notes | NoteTube