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MHT CET 2023 (14 May, Shift 1) · Biot-Savart Law & Circular Coils

Biot-Savart Law & Circular Coils question from MHT CET 2023 (14 May, Shift 1)

Q54MHT CET 2023 · 14 MAY · SHIFT 1Medium

Biot-Savart Law & Circular Coils

Two circular coils made from same wire but radius of $1$ st coil is twice that of $2$ nd coil. If magnetic field at their centres is same then ratio of potential difference applied across them is ( $1$ st to $2$ nd coil)

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Answer: (c)

Equal $B = \frac{\mu_0 I}{2r}$ needs $I \propto r$ .
Same wire: resistance $\propto$ length $\propto r$ .
$V = IR \propto r^2 \Rightarrow \frac{V_1}{V_2} = 2^2 = 4$
So the answer is (c) 4.

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