Question

The potential difference between A and B as shown in figure is

• A. 1 V
• B. 2 V
• C. 3 V
• D. 4 V

Answer 1

Answer: (A)

1 V

Answer 2

:

Resistance of the upper arm $CAD = 2\Omega + 3\Omega = 5\Omega$

Resistance of the lower arm $CBD = 3\Omega + 2\Omega = 5\Omega$

As the resistance of both arms are equal, therefore same amount of current flows in both the arms.

Current through each arm CAD or CBD = 1 A

Potential difference across C and A is

$V_{C} - V_{A} = (2\Omega)(1A) = 2V$ ….(i)

Potential difference across C and B is

$V_{C} - V_{B} = (3\Omega)(1A) = 3V$ ….(ii)

Subtractin (i) from (ii), we get

$V_{A} - V_{B} = 3V - 2V = 1V$