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Question

# The electric current in a circular coil of two turns produced a magnetic induction of 0.2 T at its centre. The coil is unwound and then rewound into a circular coil of four turns. If same current flows in the coil, the magnetic induction at the centre of the coil now is:

A
0.2 T
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B
0.4 T
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C
0.6 T
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D
0.8 T
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Solution

## The correct option is D 0.8 TWhen there are two turns in the coil, thenl=2×2πr1 or r1=l4πthen B1=μoN1I2r1=μo×2×I2×(l/4π)=μo4πIlWhen there are four turns in the coil, thenl=4×2πr2 or r2=l8πThen B2=μoN2I2r2=μo×4×I2×(l/8π)=μo16πIlB1B2=416=14= or B2=4B1=4×0.2T=0.8T

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