First slide

Electrostatic Potential

Question

A and B are two points at a separation of 50 cm in a uniform electric field of 24 V/m. If $V_{A}$ and $V_{B}$ are potentials at A and B respectively, the select the wrong option.

Moderate

A

$V_{A} - V_{B} = + 12 V$
B

$V_{A} - V_{B} = 0$
C

$V_{A} - V_{B} = + 15 V$
D

$V_{A} - V_{B} = - 12 V$

Solution

If A and B are on the same straight line and electric field lines are directed from A to B, then $V_{A} - V_{B} = 24 \times 0.5 V = 12 V$ .
If A and B are on the same straight line parallel to $\vec{E}$ and electric field lines are directed from B to A, then $V_{A} - V_{B} = - 24 \times 0.5 V = - 12 V$ .
If A and B are on the same straight line which is perpendicular to $\vec{E}$ , then A and B are on the same equipotential plane and $V_{A} - V_{B} = 0$ .
So maximum potential difference between A and B is 12 volt.
Hence option (3) is correct.

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