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 point charge is 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 point charge is 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) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e8f569e0c2e344edc499a7a7bd7b33e4-.png" /> 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 $(0, 0, \frac{a}{2})$ and $(0, 0, \frac{- a}{2})$ respectively. The work done by the electric field when another positive point charge is 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 (0,0,2a​) and (0,0,2−a​) respectively. The work done by the electric field when another positive point charge is moved from (−a,0,0) to (0,a,0) is