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Q.

A current carrying insulated wire is bent in the form of a circular loop and magnetic field at the centre of the loop is found to be  2μT. Now the some wire is bent into a loop of three turns. Then new magnetic field at its centre will be _______

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a

12μT

b

18μT

c

6μT

d

36μT

answer is B.

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Detailed Solution

r=l2π         ∴   B=μ0i2r=μ0πilNow,    2πr'.2=l      ⇒   r'=l2πn∴    B'=n. μ0i2r'= n. μ0il/πn= μ0πiln2=Bn2= 2× 32 μT=18μT.
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