X and Y are two circuits having coefficient of mutual inductance 3 mH and resistances 10 and 4 respectively. To have induced current 60 10⁻⁴ ~A in circuit Y , the amount of current to be changed in circuit X in 0.02 sec is

Step-by-step solution

aligned & M =3 mH =3 10⁻³ H , R ₁=10 , R ₂=4 , & I ₂=60 10⁻⁴ ~A , t =0.02 aligned Induced current in Y is aligned & I _g= e₂ R ₂ = ( M I t ) 1 R ₂ & I ₁= I ₂ t R ₂ M = 60 10⁻⁴ 0.02 4 3 10⁻³ =0.16 ~A . aligned