JEE Main · 2022 · 29 Jun 2022 · Shift 1 · Current Electricity

For the network shown below, the value

V_{B} - V_{A}

is ____ V.

Answer: 10

Solution

The circuit shows three resistors (each

1 Ω

) in series connected to a 15 V source.

Total resistance:

R_{total} = 1 + 1 + 1 = 3 Ω

Current:

i = \frac{15}{3} = 5

A

The potential difference

V_{B} - V_{A}

is the voltage drop across two resistors:

V_{B} - V_{A} = 15 - i \times 1 = 15 - 5 = 10 V

Alternatively,

V_{B} - V_{A} = i \times 2 = 5 \times 2 = 10

JEE Main · 2022 · 29 Jun 2022 · Shift 1 · Integer answer