JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Current Electricity

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A network of four resistances is connected to 9 V battery, as shown in figure. The magnitude of voltage difference between the points A and B is ______ V.

Answer: 3

Solution

From the input node, one arm has

2 + 4 = 6 Ω

through point A and the other has

4 + 2 = 6 Ω

through point B, so the parallel combination is

3 Ω

. The current delivered by the

9 V

source is

\frac{9}{3} = 3 A

, and each arm carries

1.5 A

. The potential at A is

1.5 \times 2 = 3 V

below the input node, while that at B is

1.5 \times 4 = 6 V

below it. The magnitude of the potential difference between A and B is

6 - 3 = 3 V

JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Integer answer

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