Two coils have a mutual inductance 5 times 10 | vedclass

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

Question

(D) The induced e.m.f. in the second coil is given by the formula: $e = M \frac{dI_1}{dt} \dots (i)$Given $I_1 = I_0 \sin \omega t$, we differentiate

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(D) The induced e.m.f. in the second coil is given by the formula: $e = M \frac{dI_1}{dt} \dots (i)$Given $I_1 = I_0 \sin \omega t$, we differentiate with respect to time $t$:$\frac{dI_1}{dt} = I_0 \omega \cos \omega t$Substituting this into equation $(i)$, we get:$e = M I_0 \omega \cos \omega t$The maximum value of e.m.f. $(e_{max})$ occurs when $\cos \omega t = 1$:$e_{max} = M I_0 \omega$Given values: $M = 5 	imes 10^{-3} 	ext{ H}$, $I_0 = 10 	ext{ A}$, and $\omega = 100 \pi 	ext{ rad/s}$.Substituting these values:$e_{max} = (5 	imes 10^{-3}) 	imes 10 	imes 100 \pi$$e_{max} = 5 	imes 10^{-3} 	imes 10^3 \pi$$e_{max} = 5 \pi 	ext{ V}$

Similar Questions

Two coils have a mutual inductance $0.005 \, H$. The current changes in the first coil according to the equation $I = I_0 \sin(\omega t)$,where $I_0 = 10 \, A$ and $\omega = 100\pi \, rad/s$. The maximum value of the $e.m.f.$ in the second coil is:

$A$ pair of adjacent coils have a mutual inductance, $M$. The current in one coil changes from $0 \,A$ to $16 \,A$ in $0.3 \,s$, and the change of flux linkage with the other coil is $40 \,Wb$. The value of $M$ is: (in $\,H$)

The mutual inductance of two coils is $8 \ mH$. The current in one coil changes according to the equation $I = 12 \sin 100t$,where $I$ is in ampere and $t$ is time in second. The maximum value of emf induced in the second coil is (in $V$)

Two circuits have a coefficient of mutual induction of $0.09 \ H$. The average $e.m.f.$ induced in the secondary circuit due to a change of current from $0 \ A$ to $20 \ A$ in $0.006 \ s$ in the primary circuit will be:

Two coils of self-inductances $2\, mH$ 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......$mH$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module