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Q.

A length of wire caries a steady current. First it is bent to form a circular coil of one tum. Then it is bent more sharply to form a loop of two turns but of smaller radius. Now the magnetic flux density at the centre caused by same current is found to be such that

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a

magnetic flux density of double loop = 1/4 that of single turn coil

b

it is four times that of single turn coil

c

it is same and remains unaltered

d

it is one-half of the first value

answer is B.

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Detailed Solution

B =B1=μ0Ni2R   L=N×2πR B2=μ02Ni2 R2    L=2N×2πR2  B2=4 B1
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