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Q.

Two wires A and B are of lengths 40 cm and 30 cm. A is bent into a circle of radius r and B into an arc of radius r. A current i1 is passed through A and i2 through B. To have the same magnetic induction at the centre, the ratio of i1 : i2 is

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a

3 : 5

b

3 : 4

c

2 : 3

d

4 : 3

answer is A.

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Detailed Solution

B1=μ0i14πrθ1=μ0i14πr40r;B2=μ0i24πr30rB1=B2;4i1=3i2;i1i2=34

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