Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

Three charges are arranged at the corner of a square ABCD of side 'a'. At A '(+q)', at B (-q), at C (+q) in coulomb. Find the work needed to bring +q to point D of the square when given other charges at A. B and C are fixed.

Options:

$\frac{-q^2}{4πε_0a}\left(2+\frac{1}{\sqrt{2}}\right)$

$\frac{q^2}{4πε_0a}\left(2-\frac{1}{\sqrt{2}}\right)$

$\frac{-q^2}{8πε_0a^2}\left(3-\frac{1}{\sqrt{3}}\right)$

$\frac{q^2}{8πε_0a^2}\left(4-\frac{1}{\sqrt{2}}\right)$

Correct Answer:

$\frac{q^2}{4πε_0a}\left(2-\frac{1}{\sqrt{2}}\right)$

Explanation:

The correct answer is Option (2) → $\frac{q^2}{4πε_0a}\left(2-\frac{1}{\sqrt{2}}\right)$