The inductors of two LR circuits are placed n | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In the steady state,the currents in the two circuits are:$I_1 = \frac{V_1}{R_1} = \frac{5 	ext{ V}}{5 	ext{ }\Omega} = 1 	ext{ A}$$I_2 = \frac{

Vedclass · Accepted Answer

$55$

Vedclass · Answer

(C) In the steady state,the currents in the two circuits are:$I_1 = \frac{V_1}{R_1} = \frac{5 	ext{ V}}{5 	ext{ }\Omega} = 1 	ext{ A}$$I_2 = \frac{V_2}{R_2} = \frac{20 	ext{ V}}{10 	ext{ }\Omega} = 2 	ext{ A}$The total energy stored in the system of two coupled inductors is given by:$U = \frac{1}{2} L_1 I_1^2 + \frac{1}{2} L_2 I_2^2 + M I_1 I_2$Substituting the given values $(L_1 = 10 	ext{ mH}, L_2 = 20 	ext{ mH}, M = 5 	ext{ mH}, I_1 = 1 	ext{ A}, I_2 = 2 	ext{ A})$:$U = \frac{1}{2} 	imes (10 	imes 10^{-3}) 	imes (1)^2 + \frac{1}{2} 	imes (20 	imes 10^{-3}) 	imes (2)^2 + (5 	imes 10^{-3}) 	imes 1 	imes 2$$U = 5 	imes 10^{-3} + 40 	imes 10^{-3} + 10 	imes 10^{-3}$$U = 55 	imes 10^{-3} 	ext{ J} = 55 	ext{ mJ}$

Similar Questions

Two concentric circular coils,one of small radius $r_1$ and the other of large radius $r_2$,such that $r_1 \ll r_2$,are placed coaxially with centers coinciding. Obtain the mutual inductance of the arrangement.

Two coils of self-inductance $2 \, mH$ and $8 \, mH$ are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is......$ mH$

$A$ small coil of radius $r$ is placed at the centre of a large coil of radius $R$,where $R >> r$. The coils are coplanar. The coefficient of mutual inductance between the coils is

Mutual inductance of two coils can be increased by

Two concentric circular coils having radii $r_1$ and $r_2$ $(r_2 \ll r_1)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn,$\mu_0 =$ permeability of free space).

Vedclass Test Series

Exam Paper Generator

Online Exam Module