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Q.

A given length of a wire carries a steady current. It is bent first to form a circular plane coil of one turn. If a loop of same length is now bent more sharply to give a double loop of smaller radius, the magnetic field at the centre caused by the same current is :

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a

a quarter of its first value

b

unaltered

c

four times of its first value

d

half of its first value

answer is C.

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Detailed Solution

When the wire is coiled more sharply, the radius is halved. Also the current becomes double because of two turns. Hence the magnetic field becomes 4 times
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A given length of a wire carries a steady current. It is bent first to form a circular plane coil of one turn. If a loop of same length is now bent more sharply to give a double loop of smaller radius, the magnetic field at the centre caused by the same current is :