Two coils of self-inductance L_{1} and L_{2} | vedclass

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

Question

(D) When two coils are connected in series,the total induced electromotive force $(EMF)$ is the sum of the self-induced EMFs and the mutually induced

Vedclass · Accepted Answer

$L_{1} + L_{2} - 2M$

Vedclass · Answer

(D) When two coils are connected in series,the total induced electromotive force $(EMF)$ is the sum of the self-induced EMFs and the mutually induced EMFs.The total $EMF$ is given by:$V = V_{L1} + V_{L2} + V_{M1} + V_{M2}$$V = L_{1} \frac{dI}{dt} + L_{2} \frac{dI}{dt} + M \frac{dI}{dt} + M \frac{dI}{dt}$Looking at the provided figure,the current $I$ enters the first coil and leaves it,then enters the second coil in a way that the magnetic flux produced by the current in the second coil opposes the flux produced by the first coil (or vice versa).Since the currents in the two coils are in opposite directions relative to the winding,the mutual inductance effect is subtractive.Therefore,the equivalent self-inductance $L_{eq}$ is:$L_{eq} = L_{1} + L_{2} - 2M$

Two coils of self-inductance $L_{1}$ and $L_{2}$ are connected in series. If the mutual inductance of the coils is $M$,the equivalent self-inductance of the combination shown in the figure will be:

Similar Questions

$A$ coil of inductance $L$ is divided into $6$ equal parts. All these parts are connected in parallel. The resultant inductance of this combination is

Two pure inductors each of self inductance $L$ are connected in parallel but are well separated from each other. The total inductance is

The equivalent inductance between $A$ and $B$ is equal to

Two identical coils of inductance $L$ joined in series are placed very close to each other such that the winding direction of one coil is exactly opposite to that of the other. The net inductance is

Three inductances are connected as shown in the figure. The equivalent inductance between $A$ and $B$ is (in $H$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module