Question

The mutual inductance between the rectangular loop and the long straight wire as shown in figure is `M`.

A. `M =` zero
B. `M = (mu_(0) a)/(2pi)ln(1+(c )/(b))`
C. `M = (mu_(0)a)/(2pi)ln((a+b)/(b))`
D. `M = (mu_(0)a)/(2pi)ln(1+(b)/(b))`

Answer 1

Correct Answer - D
`d phi = B adx, d phi = (mu_(0)i)/(2pi x)a dx`
`phi = (mu_(0) ia )/(2pi)ln((c+b)/(c)) = Mi`