Electrostatics Question 502

Question: As per this diagram a point charge $ +q $ is placed at the origin $ O $ . Work done in taking another point charge $ -Q $ from the point $ A $ [co-ordinates $ (0,a) $ ] to another point B [co-ordinates (a, 0)] along the straight path $ AB $ is [CBSE PMT 2005]

Options:

A) Zero

B) $ ( \frac{-qQ}{4\pi {\varepsilon _{0}}}\frac{1}{a^{2}} )\sqrt{2}a $

C) $ ( \frac{qQ}{4\pi {\varepsilon _{0}}}\frac{1}{a^{2}} )\frac{a}{\sqrt{2}} $

D) $ ( \frac{qQ}{4\pi {\varepsilon _{0}}}\frac{1}{a^{2}} )\sqrt{2}a $

Show Answer

Answer:

Correct Answer: A

Solution:

Since A and B are at equal potential so potential difference between A and B is zero. Hence $ W=Q.\Delta V=0 $



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