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

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Flow from B to A

flow from A and B

flow in the direction which will be decided by the value of V

be zero

answer is A.

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Detailed Solution

Current through arm PAQ, I = $\frac{V}{8} a m p$

Potential difference between C and

A = V_P – V_A

$= \frac{V}{8} \times 4 = \frac{V}{2} v o l t$

Current through PBQ, I’ = $\frac{V}{4} a m p$

Potential difference between P and B = V_P – V_B

$\frac{V}{4} \times 1 = \frac{V}{4} v o l t$ .

Potential between A and B = V_A – V_B

$∴ V_{A} - V_{B} = V_{P} - V_{B} - (V_{P} - V_{A}) = \frac{V}{4} - \frac{V}{2} = - \frac{V}{4}$

$\Rightarrow V_{A} - V_{B} < 0 o r, V_{A} < V_{B}$

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