JEE Main · 2024 · 06 Apr 2024 · Shift 1 · Current Electricity

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The value of unknown resistance ( x ) for which the potential difference between B and D will be zero in the arrangement shown, is :

(A) $3Ω$
(B) $9Ω$
(C) $6Ω$ ✓ Correct
(D) $42Ω$

Answer: (C)

Solution

The potential difference between B and D is zero when the bridge is balanced, so no current flows through the BD branch. Applying the Wheatstone balance condition (equal ratios of the resistances in the two pairs of arms) and solving for the unknown gives

x = 6 Ω.

JEE Main · 2024 · 06 Apr 2024 · Shift 1 · Single correct option

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