(D) According to Faraday's law of electromagnetic induction,the magnitude of induced emf $e$ is given by $e = \frac{\Delta \phi}{\Delta t}$.Since the

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(D) According to Faraday's law of electromagnetic induction,the magnitude of induced emf $e$ is given by $e = \frac{\Delta \phi}{\Delta t}$.Since the circuit has a resistance $R$,the induced current $i$ is given by $i = \frac{e}{R} = \frac{\Delta \phi}{R \Delta t}$.The total charge $Q$ passing through any point in the circuit in time $\Delta t$ is given by $Q = i \Delta t$.Substituting the value of $i$,we get $Q = \left( \frac{\Delta \phi}{R \Delta t} \right) \Delta t = \frac{\Delta \phi}{R}$.

Class 12 Physics Electromagnetic Induction Faraday's and Lenz's Law

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The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \phi$ in time $\Delta t$. Then the total quantity of electric charge $Q$ which is passing during this time through any point of the circuit is given by:

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A
$Q=\frac{\Delta \phi}{\Delta t}$
B
$Q=\frac{\Delta \phi}{\Delta t} \times R$
C
$Q=-\frac{\Delta \phi}{\Delta t}+R$
D
$Q=\frac{\Delta \phi}{R}$

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Electromagnetic Induction

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Faraday's and Lenz's Law

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$A$ magnetic field of $2 \times 10^{-2} \, T$ acts at right angles to a coil of area $100 \, cm^2$ with $50$ turns. The average emf induced in the coil is $0.1 \, V$,when it is removed from the field in time $t$. The value of $t$ is $... \, sec$.

MediumAIPMT 1991

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$A$ circular coil is placed near a current-carrying conductor, both lying on the plane of the paper. The current is flowing through the conductor in such a way that the induced current in the loop is clockwise, as shown in the figure. The current in the wire is,

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$A$ coil of $n$ turns and resistance $R \text{ } \Omega$ is connected in series with a resistance $R/4$. The combination is moved for time $t$ second through flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

DifficultMHT CET 2026

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The magnetic flux through a stationary loop with resistance $R$ varies during an interval of time $T$ as $\phi = at(T - t)$. The heat generated during this time,neglecting the inductance of the loop,will be

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Two identical metallic square loops $L_1$ and $L_2$ are placed next to each other with their sides parallel on a smooth horizontal table. Loop $L_1$ is fixed and a current which increases as a function of time is passed through it. Then,loop $L_2$ is

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The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \phi$ in time $\Delta t$. Then the total quantity of electric charge $Q$ which is passing during this time through any point of the circuit is given by:

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$A$ magnetic field of $2 \times 10^{-2} \, T$ acts at right angles to a coil of area $100 \, cm^2$ with $50$ turns. The average emf induced in the coil is $0.1 \, V$,when it is removed from the field in time $t$. The value of $t$ is $... \, sec$.

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