(B) Given:$N_1 = 2000$,$L = 0.30 \ m$,$N_2 = 300$,$A = 1.2 \times 10^{-3} \ m^2$.The rate of change of current is $\frac{di}{dt} = \frac{I_f - I_i}{\D

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(B) Given:$N_1 = 2000$,$L = 0.30 \ m$,$N_2 = 300$,$A = 1.2 \times 10^{-3} \ m^2$.The rate of change of current is $\frac{di}{dt} = \frac{I_f - I_i}{\Delta t} = \frac{-2 - 2}{0.25} = -16 \ A/s$. The magnitude is $16 \ A/s$.The mutual inductance $M$ of the solenoid-coil system is given by $M = \frac{\mu_0 N_1 N_2 A}{L}$.Substituting the values:$M = \frac{4\pi \times 10^{-7} \times 2000 \times 300 \times 1.2 \times 10^{-3}}{0.30} = 3.016 \times 10^{-3} \ H$.The induced emf $e$ is given by $e = M \left| \frac{di}{dt} \right|$.$e = (3.016 \times 10^{-3}) \times 16 = 4.825 \times 10^{-2} \ V \approx 4.8 \times 10^{-2} \ V$.

Class 12 Physics Electromagnetic Induction Mutual Induction

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$A$ solenoid has $2000$ turns wound over a length of $0.30 \ m$. The area of its cross-section is $1.2 \times 10^{-3} \ m^2$. Around its central section,a coil of $300$ turns is wound. If an initial current of $2 \ A$ in the solenoid is reversed in $0.25 \ s$,the emf induced in the coil is equal to

AP EAMCET 2021 All AP EAMCET

A
$6 \times 10^{-4} \ V$
B
$4.8 \times 10^{-2} \ V$
C
$6 \times 10^{-2} \ V$
D
$48 \times 10^3 \ V$

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Class 12

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Electromagnetic Induction

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Mutual Induction

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$A$ 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 $\text{ Wb}$)?

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Two coils $A$ and $B$ have mutual inductance $0.008 \ H$. The current changes in the coil $A$, according to the equation $I = I_{m} \sin \omega t$, where $I_{m} = 5 \ A$ and $\omega = 200 \pi \ rad \ s^{-1}$. The maximum value of the e.m.f. induced in the coil $B$ in volt is (in $\pi$)

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$A$ coil of radius $r$ is placed on another coil (whose radius is $R$ and current flowing through it is changing) so that their centres coincide. $(R \gg r)$ If both the coils are coplanar,then the mutual inductance between them is proportional to

MediumMHT CET 2021

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Two coaxial coils $A$ and $B$ of radii $R_{1}$ and $R_{2}$ are placed in the same plane $(R_{2} > R_{1})$. If a current is passed through coil $B$,the coefficient of mutual inductance between the coils is proportional to:

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$A$ pair of adjacent coils has a mutual inductance of $1.5 \ H$. If the current in one coil changes from $0 \ A$ to $10 \ A$ in $0.5 \ s$,what is the change of flux linkage with the other coil (in $Wb$)?

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$A$ solenoid has $2000$ turns wound over a length of $0.30 \ m$. The area of its cross-section is $1.2 \times 10^{-3} \ m^2$. Around its central section,a coil of $300$ turns is wound. If an initial current of $2 \ A$ in the solenoid is reversed in $0.25 \ s$,the emf induced in the coil is equal to

Similar Questions

$A$ 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 $\text{ Wb}$)?

Two coils $A$ and $B$ have mutual inductance $0.008 \ H$. The current changes in the coil $A$, according to the equation $I = I_{m} \sin \omega t$, where $I_{m} = 5 \ A$ and $\omega = 200 \pi \ rad \ s^{-1}$. The maximum value of the e.m.f. induced in the coil $B$ in volt is (in $\pi$)

$A$ coil of radius $r$ is placed on another coil (whose radius is $R$ and current flowing through it is changing) so that their centres coincide. $(R \gg r)$ If both the coils are coplanar,then the mutual inductance between them is proportional to

Two coaxial coils $A$ and $B$ of radii $R_{1}$ and $R_{2}$ are placed in the same plane $(R_{2} > R_{1})$. If a current is passed through coil $B$,the coefficient of mutual inductance between the coils is proportional to:

$A$ pair of adjacent coils has a mutual inductance of $1.5 \ H$. If the current in one coil changes from $0 \ A$ to $10 \ A$ in $0.5 \ s$,what is the change of flux linkage with the other coil (in $Wb$)?

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