Two coils have mutual inductance 0.002 H. Th | vedclass

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

Question

(C) The magnetic flux linked with the second coil is given by $\phi = Mi = M i_0 \sin \omega t$. The induced $emf$ in the second coil is given by Fara

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The magnetic flux linked with the second coil is given by $\phi = Mi = M i_0 \sin \omega t$. The induced $emf$ in the second coil is given by Faraday's law: $emf = -\frac{d\phi}{dt} = -M \frac{di}{dt}$. Substituting the given expression for current: $emf = -M \frac{d}{dt}(i_0 \sin \omega t) = -M i_0 \omega \cos \omega t$. The maximum value of the induced $emf$ is $|emf|_{max} = M i_0 \omega$. Given $M = 0.002 \ H$,$i_0 = 5 \ A$,and $\omega = 50 \pi \ rad/s$: $|emf|_{max} = (0.002) 	imes (5) 	imes (50 \pi) = 0.01 	imes 50 \pi = 0.5 \pi = \frac{\pi}{2} \ V$. Comparing this with $\frac{\pi}{\alpha} \ V$,we get $\alpha = 2$.

Two coils have mutual inductance $0.002 \ H$. The current changes in the first coil according to the relation $i = i_0 \sin \omega t$,where $i_0 = 5 \ A$ and $\omega = 50 \pi \ rad/s$. The maximum value of $emf$ in the second coil is $\frac{\pi}{\alpha} \ V$. The value of $\alpha$ is . . . . . . .

Similar Questions

$A$ small circular loop of wire of radius $a$ is located at the centre of a much larger circular wire loop of radius $b$. The two loops are in the same plane. The outer loop of radius $b$ carries an alternating current $I = I_0 \cos (\omega t)$. The emf induced in the smaller inner loop is nearly

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 co-axially with their centres coinciding. The mutual inductance $M$ of the arrangement is proportional to . . . . . . .

$A$ pair of adjacent coils has a mutual inductance of $2 \text{H}$. If the current in one coil changes from $0 \text{A}$ to $30 \text{A}$ in $0.15 \text{s}$, what is the change of flux linkage with the other coil (in $\text{ Wb}$)?

$A$ very long straight conductor and an isosceles triangular conductor lie in a plane and are separated from each other as shown in the figure. If $a = 10 \ cm$,$b = 20 \ cm$,and $h = 10 \ cm$,find the coefficient of mutual induction.

The mutual inductance of a system of two coils does not depend on . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module