Question Bank MCQ • 2 Marks Section 3: Electromagnetic Theory Electrostatics and Magnetostatics

QB_PH_061: Electrostatics and Magnetostatics

Question Statement

A point charge $q$ is at distance $d$ from an infinite grounded conducting plane. The force exerted on the charge is:
(A) \frac{1}{4\pi\epsilon_0} \frac{q^2}{4d^2} \text{ (attractive toward plane)}
(B) \frac{1}{4\pi\epsilon_0} \frac{q^2}{d^2} \text{ (repulsive)}
(C) 0
(D) \frac{1}{4\pi\epsilon_0} \frac{q^2}{2d^2} \text{ (attractive)}
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: The image charge $-q$ is at distance $2d$ from $q$. Force is attractive with magnitude $q^2 / (16\pi\epsilon_0 d^2)$.
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