When a battery is connected to the two ends of a diagonal of a square… | MHT CET 2021 (22 Sep, Shift 1)

Q76MHT CET 2021 · 22 SEP · SHIFT 1Easy

Biot-Savart Law & Circular Coils

When a battery is connected to the two ends of a diagonal of a square conductor frame of side ' $a$ ', the magnitude of magnetic field at the centre will be ( $\mu_0 =$ permeability of free space)

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Answer: (d)

The two paths from one corner to the opposite corner (two sides each) have equal resistance, so the current splits equally, $I/2$ each.
The two paths are mirror images about the diagonal and carry current in opposite senses round the centre, so their fields at the centre are equal and opposite.
So the answer is (d) zero.

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Biot-Savart Law & Circular Coils question from MHT CET 2021 (22 Sep, Shift 1)

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