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JEE Main 2023 (29 Jan, Shift 2) · Biot-Savart Law & Circular Coils

Biot-Savart Law & Circular Coils question from JEE Main 2023 (29 Jan, Shift 2)

Q56JEE Main 2023 · 29 JAN · SHIFT 2Medium

Biot-Savart Law & Circular Coils

The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be:

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Answer: (a)

For the same wire, $B \propto n^2$ (radius $\propto 1/n$ ).
$B' = 32 \times \left(\frac{1}{4}\right)^2 = 2\text{ T}$
So the answer is (a) 2 T.

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