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Question

# When current is passed through a circular wire prepared from a long conducting wire, the magnetic field produced at its centre is B. Now a loop having two turns is prepared from the same wire and the same current is passed through it. The magnetic field at its centre will be

A
4B
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B
B4
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C
B2
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D
16B
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Solution

## The correct option is C 4BMagnetic field at the centre of current carrying coil is given by B=μ04π2πNir⇒B∝Nr∴B1B2=N1N2×r2r1In second condition, a loop having two turns is prepared from the same wireSo, N1=NN2=2Nr1=rr2=2r⇒BB2=12×r/2r=14⇒B2=4B.

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