A very long conductor and an isosceles triangular conductor lie in a plane and are separated from each other as shown in the figure. Find the coefficient of mutual induction. (a = 10 cm, b = 20 cm, h = 10 cm)

Options

A. `0.61xx10^(-8)H`
B. `1.22xx10^(-8)H`
C. `0.61xx10^(-9)H`
D. `1.22xx10^(-9)H`

Answer

B

Explanation

`phi=int_a^(a+h) (mu_0I)/(2pix)xx((x-a))/h b dx`
`M=phi/I=mu_0/(2pi) b/h int_a^(a+h) (1-a/x)dx`
`=mu_0/(2pi) b/h [h-a In (1+h/a)]=1.22xx10^(-8)`