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Q.

A circular wire loop of radius R is placed inthe x-y plane centred at the origin O. A square loop of side a(a >> R) having two turns is places with its centre at z = 3R along the axis of the circular wire loop, as shown in figure. The plane of the squre loop makes an angle of 450with respect to the z-axis. If the mutual inductance between the loops is given by μ0a22P/2R , then the value of P is

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a

3

b

5

c

7

d

9

answer is D.

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Detailed Solution

B=μ0iR2a2+R23/2;  ϕ=BACos(45)M=ϕi=μ0a229/2R2
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A circular wire loop of radius R is placed inthe x-y plane centred at the origin O. A square loop of side a(a >> R) having two turns is places with its centre at z = 3R along the axis of the circular wire loop, as shown in figure. The plane of the squre loop makes an angle of 450with respect to the z-axis. If the mutual inductance between the loops is given by μ0a22P/2R , then the value of P is