JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Current Electricity

The equivalent resistance between A and B as shown in figure is:

(A) $5 k Ω$ ✓ Correct
(B) $30 k Ω$
(C) $10 k Ω$
(D) $20 k Ω$

Answer: (A)

Solution

From the circuit diagram, points A and D are at the same potential, and points C and B are at the same potential (due to the bridge configuration). This means all three resistors (10 kΩ, 20 kΩ, and 20 kΩ) are effectively in parallel between A and B. Using the parallel resistance formula:

\frac{1}{R _{e q}} = \frac{1}{10} + \frac{1}{20} + \frac{1}{20} = \frac{2 + 1 + 1}{20} = \frac{4}{20} = \frac{1}{5}

. Therefore

R_{e q} = 5

kΩ.

JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Single correct option

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