SATHEE: Electrostatics Question 358

Electrostatics Question 358

Question: Four equal charges $Q$ are placed at the four corners of a square of each side is $‘ a^{'}$ . Work done in removing a charge Q from its centre to infinity is [AIIMS 1995]

Options:

A) 0

B) $\frac{\sqrt{2} Q^{2}}{4 π ε_{0} a}$

C) $\frac{\sqrt{2} Q^{2}}{π ε_{0} a}$

D) $\frac{Q^{2}}{2 π ε_{0} a}$

Show Answer

Answer:

Correct Answer: C

Solution:

Potential at centre O of the square $V_{O} = 4 (\frac{Q}{4 π ε_{0} (a / \sqrt{2})})$

Work done in shifting (- Q) charge from centre to infinity $W = - Q (V_{\infty} - V_{O}) = Q V_{0}$

$= \frac{4 \sqrt{2} Q^{2}}{4 π ε_{0} a}$

$= \frac{\sqrt{2} Q^{2}}{π ε_{0} a}$

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Electrostatics Question 358

Question: Four equal charges Q are placed at the four corners of a square of each side is ‘a′ . Work done in removing a charge Q from its centre to infinity is [AIIMS 1995]

Options:

Answer:

Solution:

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Question: Four equal charges $Q$ are placed at the four corners of a square of each side is $‘ a^{'}$ . Work done in removing a charge Q from its centre to infinity is [AIIMS 1995]