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In the circuit shown, if a conducting wire is connected between points A and B, the current in this wire will

Asked in CBSE AIPMT 2006 · Wheatstone bridge

Figure: Wheatstone bridge
Answer: (1) flow from B to A

Step-by-step solution

Battery: long plate on the left, so the left corner is at V and the right corner at 0.

Upper branch 4 Ω–4 Ω: A sits halfway, V_A=V/2.

Lower branch 1 Ω–3 Ω: the 1 Ω drops a quarter of V, so V_B=V-V/4=(3V)/4.

V_B>V_A, and 4/4 eq1/3 so the bridge is not balanced.

Current in the wire flows from B to A.

Why the other options are wrong

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