(D) The induced emf in coil $P$ due to the changing current in coil $Q$ is given by $\epsilon_P = M \frac{dI_Q}{dt}$,where $M$ is the mutual inductanc

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(D) The induced emf in coil $P$ due to the changing current in coil $Q$ is given by $\epsilon_P = M \frac{dI_Q}{dt}$,where $M$ is the mutual inductance.Given $\epsilon_P = 12 \ mV = 12 \times 10^{-3} \ V$ and $\frac{dI_Q}{dt} = 10 \ A/s$.$12 \times 10^{-3} = M \times 10 \implies M = 1.2 \times 10^{-3} \ H = 1.2 \ mH$.Now,the magnetic flux $\phi_Q$ linked with coil $Q$ when current $I_P = 1.5 \ A$ flows through coil $P$ is given by $\phi_Q = M \times I_P$.$\phi_Q = 1.2 \ mH \times 1.5 \ A = 1.8 \ mWb$.Thus,the correct option is $D$.

Class 12 Physics Electromagnetic Induction Mutual Induction

Medium

Two coils $P$ and $Q$ are kept near each other. When no current flows through coil $P$ and current increases in coil $Q$ at the rate $10 \ A/s$,the emf in coil $P$ is $12 \ mV$. When coil $Q$ carries no current and current of $1.5 \ A$ flows through coil $P$,the magnetic flux linked with the coil $Q$ in $mWb$ is

MHT CET 2025 All MHT CET

A
$0.9$
B
$1.2$
C
$1.5$
D
$1.8$

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EasyAIPMT 2006

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Two coils have a mutual inductance of $ 0.005 \ H $. The current changes in the first coil according to the equation $ i = i_{m} \sin \omega t $,where $ i_{m} = 10 \ A $ and $ \omega = 100 \pi \ rad \ s^{-1} $. The maximum value of the emf induced in the second coil is:

EasyKCET 2015

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$A$ 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

DifficultJEE MAIN 2017

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Two planar concentric rings of metal wire having radii $r_1$ and $r_2$ (with $r_1 > r_2$) are placed in air. The current $I$ is flowing through the coil of larger radius. The mutual inductance between the coils is given by ($\mu_0$ = permeability of free space)

Two coils $A$ and $B$ have a coefficient of mutual inductance $M = 2 \ H$. The magnetic flux passing through coil $A$ changes by $4 \ Wb$ in $10 \ s$ due to the change in current in coil $B$. Then:

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$

Two coils have a mutual inductance of $ 0.005 \ H $. The current changes in the first coil according to the equation $ i = i_{m} \sin \omega t $,where $ i_{m} = 10 \ A $ and $ \omega = 100 \pi \ rad \ s^{-1} $. The maximum value of the emf induced in the second coil is:

$A$ 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

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