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A circular wire loop of radius R is plac...

A circular wire loop of radius R is placed in the x-y plane centered at the origin O. A square loop of side a(altltR) having two turns is placed with its centre at `=sqrt(3)R` along the axis of hte circular wire loop, as shown in figure. The plane of the square loop makes an angle of `45^(@)` with respect to the z-axis. If the mutual inductance between the loops is given bu `(mu_(0)a^(2))/(2^(p//2)R)`, then the value of p is

Text Solution

Verified by Experts

The correct Answer is:
7
`B=(mu_(0)IR^(2))/(2(4R^(2))^(3//2))=(mu_(0)I)/(16R)`
`M=(BA cos 45^(@))/l= 1/sqrt(2)=1/2^(7//2)(m_(0)a^(2))/R`
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