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The value of current i₁ flowing from A to C in the circuit diagram is [Figure: an 8 V cell connected directly between A and C. A to B: 2 Ω; B to C: 2 Ω; A to D: 2 Ω; D to C: 2 Ω; B to D: 5 Ω and 5 Ω in series. A separate straight branch from A to C has 4 Ω and 4 Ω in series and carries i₁; it crosses the B-D branch without a junction.]

Asked in JEE Main 4th Sept 2nd Shift 2020 · Wheatstone bridge

• (1) 5 A
• (2) 2 A
• (3) 4 A
• (4) 1 A

Step-by-step solution

Why the other options are wrong

• (1) This is the total current drawn from the cell, 8/1.6, not the current in the A-C branch.
• (2) Comes from using only one 4 Ω (8/4), or from taking the current in one 2+2 path.
• (3) Comes from using the 2 Ω equivalent of the bridge part (8/2), which is the current through the bridge, not i₁.

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