Two coils X and Y are placed in a circuit such that a current change of 3A in coil X causes the change in magnetic flux by 1.2Wb in coil Y. The value of mutual inductance of the coil is :

Question

Two coils X and Y are placed in a circuit such that a current change of 3A in coil X causes the change in magnetic flux by 1.2Wb in coil Y. The value of mutual inductance of the coil is : (A) 0.2H (B) 0.4H (C) 0.6H (D) 3.6H

Tardigrade Admin · Accepted Answer

Flux change in coil Y is related to current change in coil X as φ=Mi ⇒ dφ=Mdi ⇒ M=(d φ/di) ⇒ M=(1 . 2/3)=0.4H

Q. Two coils $X$ and $Y$ are placed in a circuit such that a current change of $3 A$ in coil $X$ causes the change in magnetic flux by $1.2 Wb$ in coil $Y .$ The value of mutual inductance of the coil is :

$0.2 H$

$0.4 H$

$0.6 H$

$3.6 H$

Flux change in coil $Y$ is related to current
change in coil $X$ as
$ϕ = M i$
$\Rightarrow d ϕ = M d i$
$\Rightarrow M = \frac{d ϕ}{d i}$
$\Rightarrow M = \frac{1.2}{3} = 0.4 H$

Q. Two coils X and Y are placed in a circuit such that a current change of 3A in coil X causes the change in magnetic flux by 1.2Wb in coil Y. The value of mutual inductance of the coil is :

0.2H

0.4H

0.6H

3.6H