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

The work done is the same in figure (i), (ii) and (iii).
The work done in figure (i) is the greatest.
The work done in figure (ii) is the least.
The work done is the same in figure (iii) is greater than figure (ii) but equal to that in figure (i).

Question

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

The work done is the same in figure (i), (ii) and (iii).
The work done in figure (i) is the greatest.
The work done in figure (ii) is the least.
The work done is the same in figure (iii) is greater than figure (ii) but equal to that in figure (i).

Toppr Admin · Accepted Answer

In all the three figures- VA-20V and VB-40VWork done in carrying a charge q from A to B is-xA0-W-q-VB-x2212-VA-Hence the work done is same in all figures-

In all the three figures, VA=20V and VB=40VWork done in carrying a charge q from A to B is W=q(VB−VA)Hence the work done is same in all figures.

In all the three figures, $V_{A} = 20 V$ and $V_{B} = 40 V$
Work done in carrying a charge $q$ from $A$ to $B$ is
$W = q (V_{B} - V_{A})$
Hence the work done is same in all figures.