(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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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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The mutual inductance between two coils is $1.25 \ H$. If the current in the primary coil changes at the rate of $80 \ A/s$, then the induced $e.m.f.$ in the secondary coil is ...... $V$.

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DifficultJEE MAIN 2026

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Two coils $P$ and $S$ have a mutual inductance of $3 \times 10^{-3} \ H$. If the current in the coil $P$ is $I = 20 \sin(50 \pi t) \ A$,then the maximum value of the e.m.f. induced in coil $S$ is (in $V$)

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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:

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The mutual inductance between two coils is $1.25 \ H$. If the current in the primary coil changes at the rate of $80 \ A/s$, then the induced $e.m.f.$ in the secondary coil is ...... $V$.

$A$ circular current loop of radius $R$ is placed inside a square loop of side length $L$ $(L >> R)$ such that they are co-planar and their centers coincide. The permeability of free space is $\mu_0$. The mutual inductance between the circular loop and the square loop is . . . . . . .

The coefficient of mutual induction is $2 \text{ H}$ and the induced e.m.f. across the secondary is $2 \text{ kV}$. The current in the primary is reduced from $6 \text{ A}$ to $3 \text{ A}$. The time required for the change of current is:

Mutual inductance of two coils can be increased by

Two coils $P$ and $S$ have a mutual inductance of $3 \times 10^{-3} \ H$. If the current in the coil $P$ is $I = 20 \sin(50 \pi t) \ A$,then the maximum value of the e.m.f. induced in coil $S$ is (in $V$)

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