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In the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A, B, C and D. The work done on the charge will be maximum along the path ______. - Physics

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Question

In the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A, B, C and D. The work done on the charge will be maximum along the path ______.

Options

  • A

  • B

  • C

  • D

MCQ
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Solution

In the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A, B, C and D. The work done on the charge will be maximum along the path C.

Explanation:

Work done = ΔV × Q

Work done does not depend on the path traveled because the electric field is a conservative field.

Thus,

W(A) = (10 − 10) × Q

= 0

W(B) = (15 − 10) × Q

= 5 Q

W(C) = (25 − 10) × Q

= 15 Q

W(D) = (20 − 10) × Q

= 10 Q

Thus, maximum work is in C.

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