(B) The induced emf $(e)$ in the secondary coil is given by the formula: $e = M \frac{di}{dt}$.Given:Mutual inductance $(M) = 92 \times 10^{-6} \, H$.

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(B) The induced emf $(e)$ in the secondary coil is given by the formula: $e = M \frac{di}{dt}$.Given:Mutual inductance $(M) = 92 \times 10^{-6} \, H$.Rate of change of current $(\frac{di}{dt}) = \frac{25 \, A}{1 \, ms} = \frac{25 \, A}{1 \times 10^{-3} \, s} = 25,000 \, A/s$.Substituting these values into the formula:$e = 92 \times 10^{-6} \times 25,000$$e = 92 \times 10^{-6} \times 25 \times 10^3$$e = 92 \times 25 \times 10^{-3}$$e = 2300 \times 10^{-3} = 2.3 \, V$.Therefore, the induced emf in the secondary coil is $2.3 \, V$.

Class 12 Physics Electromagnetic Induction Mutual Induction

Easy

$A$ primary coil and a secondary coil are placed close to each other. $A$ current, which changes at the rate of $25 \, A$ in a millisecond, is present in the primary coil. If the mutual inductance is $92 \times 10^{-6} \, H$, then the value of the induced emf in the secondary coil is:

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AP EAMCET 2012 All AP EAMCET

A
$4.6 \, V$
B
$2.3 \, V$
C
$0.368 \, mV$
D
$0.23 \, mV$

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Electromagnetic Induction

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Mutual Induction

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An $e.m.f.$ of $100 \, mV$ is induced in a coil when the current in another nearby coil changes from $0 \, A$ to $10 \, A$ in $0.1 \, s$. The coefficient of mutual induction between the two coils is . . . . . . $mH$.

Medium

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Two planar concentric rings of metal wire having radii $r_1$ and $r_2$ $(r_1 > r_2)$ 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).

MediumMHT CET 2025

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$A$ small square loop of wire of side $l$ is placed inside a large square loop of side $L$ $(L \gg l)$. If the loops are coplanar and their centres coincide,the mutual inductance of the system is directly proportional to :

DifficultTS EAMCET 2006

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Two coils have a mutual inductance of $0.005\,H$. The current in the first coil changes 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 $emf$ in the second coil will be: (in $\pi \,V$)

Medium

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Two coils $A$ and $B$ are wound on the same iron core as shown in the figure. The number of turns in the coils $A$ and $B$ are $N_A$ and $N_B$ respectively. Identify the correct statement.

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$A$ primary coil and a secondary coil are placed close to each other. $A$ current, which changes at the rate of $25 \, A$ in a millisecond, is present in the primary coil. If the mutual inductance is $92 \times 10^{-6} \, H$, then the value of the induced emf in the secondary coil is:

Similar Questions

An $e.m.f.$ of $100 \, mV$ is induced in a coil when the current in another nearby coil changes from $0 \, A$ to $10 \, A$ in $0.1 \, s$. The coefficient of mutual induction between the two coils is . . . . . . $mH$.

Two planar concentric rings of metal wire having radii $r_1$ and $r_2$ $(r_1 > r_2)$ 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).

$A$ small square loop of wire of side $l$ is placed inside a large square loop of side $L$ $(L \gg l)$. If the loops are coplanar and their centres coincide,the mutual inductance of the system is directly proportional to :

Two coils have a mutual inductance of $0.005\,H$. The current in the first coil changes 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 $emf$ in the second coil will be: (in $\pi \,V$)

Two coils $A$ and $B$ are wound on the same iron core as shown in the figure. The number of turns in the coils $A$ and $B$ are $N_A$ and $N_B$ respectively. Identify the correct statement.

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