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A very long conductor and an isosceles t...

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)

A

`0.61xx10^(-8)H`

B

`1.22xx10^(-8)H`

C

`0.61xx10^(-9)H`

D

`1.22xx10^(-9)H`

Text Solution

Verified by Experts

The correct Answer is:
B
`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)`
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