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JEE Main 2002 (AIEEE) · Biot-Savart Law & Circular Coils

Biot-Savart Law & Circular Coils question from JEE Main 2002 (AIEEE)

Q110JEE Main 2002 · AIEEEEasy

Biot-Savart Law & Circular Coils

If in a circular coil $A$ of radius $R,$ current $I$ is flowing and in another coil $B$ of radius $2R$ a current $2I$ is flowing, then the ratio of the magnetic fields $B_A$ and $B_B$ , produced by them will be

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Answer: (a)

$B = \frac{\mu_0 I}{2R} \propto \frac{I}{R}$
$\frac{B_A}{B_B} = \frac{I/R}{2I/(2R)} = 1$
So the answer is (a) 1.

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