Question

A current of 2 A flows in a system of conductors as shown. The potential difference $(V_A-V_B)$ will be

• A. + 2V
• B. + 1V
• C. – 1 V
• D. – 2 V

Answer 1

The correct option is B + 1V

In the given circuit 2A current divides equally at junction D along the paths DAC and DBC, since each branch offers same amount of resistance i.e. 5 ohm, so current divides equally (each path carry 1A current).

Potential difference between D and A, $V_D-V_A=1\times 2=2$ volt .......(i)
Potential difference between D and B, $V_D-V_B=1\times 3=3$ volt .......(ii)
On solving (i) and (ii) $V_A-V_B=+1$ volt