Positive and negative point charges of equal magnitude are kept at (0,0, a / 2) and (0,0,-a / 2), respectively, The work done by the electric field when another positive charge in moved from (-a, 0,0) to (0, a, 0) is

Question

Positive and negative point charges of equal magnitude are kept at (0,0, a / 2) and (0,0,-a / 2), respectively, The work done by the electric field when another positive charge in moved from (-a, 0,0) to (0, a, 0) is (A) positive (B) negative (C) zero (D) depends on the path connecting the initial and final positions

Tardigrade Admin · Accepted Answer

A ≡ (-a,0,0), B ≡ (0,a,0) Point charge is moved from A to B VA=VB=0 ∴ W = 0

Q. Positive and negative point charges of equal magnitude are kept at $(0, 0, a /2)$ and $(0, 0, - a /2)$ , respectively, The work done by the electric field when another positive charge in moved from $(- a, 0, 0)$ to $(0, a, 0)$ is

positive

negative

zero

depends on the path connecting the initial and final positions

$A \equiv (- a, 0, 0), B \equiv (0, a, 0)$
Point charge is moved from A to B
$V_{A} = V_{B} = 0$
$∴ W = 0$

Q. Positive and negative point charges of equal magnitude are kept at (0,0,a/2) and (0,0,−a/2), respectively, The work done by the electric field when another positive charge in moved from (−a,0,0) to (0,a,0) is