(B) According to the principle of reciprocity in mutual induction,the mutual inductance $M_{MN}$ is equal to $M_{NM}$.Given that the flux linked with

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(B) According to the principle of reciprocity in mutual induction,the mutual inductance $M_{MN}$ is equal to $M_{NM}$.Given that the flux linked with coil $N$ due to current in coil $M$ is $\phi_{N} = M I_{M}$.Thus,$M = \frac{\phi_{N}}{I_{M}} = \frac{1.8 \times 10^{-3} \ Wb}{2 \ A} = 0.9 \times 10^{-3} \ H$.Now,for the flux linked with coil $M$ due to current in coil $N$,we use $\phi_{M} = M I_{N}$.Substituting the values,$\phi_{M} = (0.9 \times 10^{-3} \ H) \times (3 \ A) = 2.7 \times 10^{-3} \ Wb$.

Class 12 Physics Electromagnetic Induction Mutual Induction

Medium

There are $10$ turns in coil $M$ and $15$ turns in coil $N$. If a current of $2\ A$ is passed through coil $M$,then the flux linked with coil $N$ is $1.8 \times 10^{-3}\ Wb$. If a current of $3\ A$ is passed through coil $N$,then the flux linked with coil $M$ is:

A
$1.2 \times 10^{-3} \ Wb$
B
$2.7 \times 10^{-3} \ Wb$
C
$1.8 \times 10^{-3} \ Wb$
D
$4.05 \times 10^{-3} \ Wb$

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Class 12

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Electromagnetic Induction

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Mutual Induction

$O$ is the centre of two coplanar concentric circular conductors,$A$ and $B$,of radii $r$ and $R$ respectively as shown in the figure. Here $r \ll R$. The mutual inductance of the system of the conductors can be given by . . . . . . .

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The mutual inductance between a primary and secondary circuit is $0.5 \, H$. The resistances of the primary and the secondary circuits are $20 \, \Omega$ and $5 \, \Omega$ respectively. To generate a current of $0.4 \, A$ in the secondary,the current in the primary must be changed at the rate of . . . . . . $A/s$.

Medium

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There are two long coaxial solenoids of the same length $l$. The inner and outer coils have radii $r_1$ and $r_2$ and number of turns per unit length $n_1$ and $n_2$ respectively. The ratio of mutual inductance to the self-inductance of the inner coil is

DifficultJEE MAIN 2019

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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 . . . . . . .

DifficultJEE MAIN 2024

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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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There are $10$ turns in coil $M$ and $15$ turns in coil $N$. If a current of $2\ A$ is passed through coil $M$,then the flux linked with coil $N$ is $1.8 \times 10^{-3}\ Wb$. If a current of $3\ A$ is passed through coil $N$,then the flux linked with coil $M$ is:

Similar Questions

$O$ is the centre of two coplanar concentric circular conductors,$A$ and $B$,of radii $r$ and $R$ respectively as shown in the figure. Here $r \ll R$. The mutual inductance of the system of the conductors can be given by . . . . . . .

There are two long coaxial solenoids of the same length $l$. The inner and outer coils have radii $r_1$ and $r_2$ and number of turns per unit length $n_1$ and $n_2$ respectively. The ratio of mutual inductance to the self-inductance of the inner coil is

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 . . . . . . .

$A$ 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

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