The value of current i1 flowing from A to C in the circuit diagram is: | JEE Main 2020 (4 Sep, Shift 2)

Q145JEE Main 2020 · 4 SEP · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

The value of current i1 flowing from A to C in the circuit diagram is:

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Answer: (a)

B-D branch ( $5 + 5 = 10\ \Omega$ ) is not joined to the A-C wire. $\frac{2}{2} = \frac{2}{2}$ , so the bridge is balanced and BD carries no current.
Between A and C: ABC $= 4\ \Omega$ , ADC $= 4\ \Omega$ , direct $4 + 4 = 8\ \Omega$ , all in parallel.
Each path has the full 8 V across it.
$i_1 = \frac{8}{8} = 1\text{ A}$
So the answer is (a) 1 A.

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