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Question

Question: Figure shows some equipotential lines distributed in space. A charged object is moved from point A t...

Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

A

The work done in figure (i) is the greatest.

B

The work done in figure (ii) is the least.

C

The work done is the same in figure (i), (ii) and (iii)

D

The work done in figure (iii) is greater than figure (ii) but equal to that in figure (i).

Answer

The work done is the same in figure (i), (ii) and (iii)

Explanation

Solution

: In all the three figures,

VA=20VV_{A} = 20Vand VB=40VV_{B} = 40V

Work done in carrying a charge q form A to B is

W=q(VBVA)W = q(V_{B} - V_{A})

Hence, work done is same in all figures.