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QAIPMT-2007-Ph-2344: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2344 Solution: Charges +q and -q are placed at points A and B respectively…

Charges +q and -q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is

Multiple Choice Options

A $\frac{qQ}{2\pi\epsilon_0 L}$
B $\frac{qQ}{6\pi\epsilon_0 L}$
C $-\frac{qQ}{6\pi\epsilon_0 L}$
D $\frac{qQ}{4\pi\epsilon_0 L}$

Step-by-Step Verified Solution

Potential at C = V C = 0 Potential at D = V D = k ( _ q L ) + k q 3 L = _ 2 3 k q L Potential difference V D � V C = _ 2 3 k q L = 1 4 � _ 0 ( _ 2 3 . q L ) _ Work done = Q (V D � V C ) = _ 2 3 _ 1 4 � _ 0 q Q L = _ q Q 6 � _ 0 L

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