(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(e)$ in a coil of $n$ turns is given by $e = -n \frac{d\P

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$\frac{2n(\Phi_1-\Phi_2)}{3Rt}$

(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(e)$ in a coil of $n$ turns is given by $e = -n \frac{d\Phi}{dt}$.For a finite change in flux $\Delta\Phi = \Phi_2 - \Phi_1$ over time $t$,the average induced emf is $|e| = n \frac{|\Phi_2 - \Phi_1|}{t} = n \frac{|\Phi_1 - \Phi_2|}{t}$.The total resistance of the circuit is $R_{total} = R + \frac{R}{2} = \frac{3R}{2}$.Using Ohm's law,the induced current $I$ is given by $I = \frac{|e|}{R_{total}}$.Substituting the values,$I = \frac{n|\Phi_1 - \Phi_2| / t}{3R / 2} = \frac{2n|\Phi_1 - \Phi_2|}{3Rt}$.Thus,the correct option is $B$.

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

Medium

$A$ coil of $n$ turns and resistance $R \ \Omega$ is connected in series with a resistance $R/2$. The combination is moved for time $t$ seconds through a magnetic flux change from $\Phi_1$ to $\Phi_2$. The induced current in the circuit is:

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A
$\frac{n(\Phi_1-\Phi_2)}{3Rt}$
B
$\frac{2n(\Phi_1-\Phi_2)}{3Rt}$
C
$\frac{2n(\Phi_1-\Phi_2)}{Rt}$
D
$\frac{n(\Phi_1-\Phi_2)}{Rt}$

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The magnetic field $B$ crossing normally a square metallic plate of area $4\,m^2$ changes with time as shown in the figure. The magnitude of the induced $emf$ in the plate during $t=2\,s$ to $t=4\,s$ is $..........\,mV$.

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MediumAP EAMCET 2025

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$A$ coil of $n$ turns and resistance $R \ \Omega$ is connected in series with a resistance $R/2$. The combination is moved for time $t$ seconds through a magnetic flux change from $\Phi_1$ to $\Phi_2$. The induced current in the circuit is:

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The magnetic field $B$ crossing normally a square metallic plate of area $4\,m^2$ changes with time as shown in the figure. The magnitude of the induced $emf$ in the plate during $t=2\,s$ to $t=4\,s$ is $..........\,mV$.

The coil of area $0.1 \ m^2$ has $500$ turns. After placing the coil in a magnetic field of strength $4 \times 10^{-4} \ Wb/m^2$,if it is rotated through $90^o$ in $0.1 \ s$,the average emf induced in the coil is......$V$

$A$ bar magnet is moved along the axis of a copper ring placed far away from the magnet. Looking from the side of the magnet,an anticlockwise current is found to be induced in the ring. Which of the following may be true?

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