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NEET 1998 (AIPMT) · Biot-Savart Law & Circular Coils

Biot-Savart Law & Circular Coils question from NEET 1998 (AIPMT)

Q112NEET 1998 · AIPMTMedium

Biot-Savart Law & Circular Coils

A coil of one turn is made of a wire of certain length and then from the same length a coil of two turns is made. If the same current is passed in both the cases, then the ratio of the magnetic induction at their centres will be

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Answer: (b)

Same length: two turns means radius $r = R/2$ .
$B_2 = \frac{\mu_0 (2) I}{2(R/2)} = 4\frac{\mu_0 I}{2R} = 4B_1$
So the answer is (b) $1 : 4$ .

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