Two coils 'P' and 'Q' are separated by some distance. When a current of 3A flows through coil 'P' a magnetic flux of `10^(-3) Wb` passess through 'Q'. No current is passed through 'P' and a current of 2A passes through 'Q', the flux through of 'P' is :

Answer

6.67

Explanation

`phi_(q) = (mu_(0) i_(1) R^(2))/(2(R^(2) xx x^(2))^(3//2)) xx pi r^(2) = 10^(-3)`
`phi_(P) = (mu_(0) i_(1) r^(2))/(2(r^(2) + x^(2))^(3//2)) xx pi R^(2)`
`(phi_(P))/(phi_(Q)) = (i_(2))/(i_(1)) . ((R^(2) + x^(2))^(3//2))/((r^(2) + x^(2))^(3//2)) = (phi_(P))/(10^(-3))`
`(2)/(3) = (phi_(P))/(10^(-3))`
`phi_(P) = 6.67 xx 10^(-4)`