(C) Given: Number of turns $N = 100$,Area $A = 0.10 \; m^2$,Frequency $\nu = 0.5 \; Hz$,Magnetic field $B = 0.01 \; T$.The maximum induced electromoti

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(C) Given: Number of turns $N = 100$,Area $A = 0.10 \; m^2$,Frequency $\nu = 0.5 \; Hz$,Magnetic field $B = 0.01 \; T$.The maximum induced electromotive force (voltage) $\varepsilon_0$ in a rotating coil is given by the formula $\varepsilon_0 = N B A \omega$,where $\omega = 2 \pi \nu$.Substituting the values:$\varepsilon_0 = 100 \times 0.01 \times 0.10 \times (2 \times 3.14 \times 0.5)$$\varepsilon_0 = 1 \times 0.10 \times 3.14$$\varepsilon_0 = 0.314 \; V$.Thus,the maximum voltage generated in the coil is $0.314 \; V$.

Class 12 Physics Electromagnetic Induction Motional EMI (Induced Parameter)

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Kamla peddles a stationary bicycle. The pedals of the bicycle are attached to a $100$ turn coil of area $0.10 \; m^2$. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of $0.01 \; T$ perpendicular to the axis of rotation of the coil. What is the maximum voltage (in $V$) generated in the coil?

A
$1.56$
B
$0.942$
C
$0.314$
D
$0.628$

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Class 12

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Electromagnetic Induction

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Motional EMI (Induced Parameter)

When a rod of length $l$ is rotated with angular velocity $\omega$ in a uniform magnetic field of induction $B$ perpendicular to the plane of rotation,about one of its ends,the induced emf across its ends is:

MediumMHT CET 2010

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$A$ jet plane having a wing span of $25 \ m$ is travelling horizontally towards the east with a speed of $3600 \ km/h$. If the Earth's magnetic field at the location is $4 \times 10^{-4} \ T$ and the angle of dip is $30^{\circ}$,then the potential difference between the ends of the wing is: (in $V$)

DifficultKCET 2018

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$A$ rod of $10 \ cm$ length is moving perpendicular to a uniform magnetic field of intensity $5 \times 10^{-4} \ Wb/m^2$. If the acceleration of the rod is $5 \ m/s^2$, then the rate of increase of induced $emf$ is . . . . . . .

EasyGUJCET 2015

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$A$ circular coil of radius $30 \ cm$,having $1$ turn and a resistance of ${\pi ^2} \ \Omega$,is placed in a magnetic field of $10^{-2} \ T$. The coil rotates about its diameter with a speed of $200 \ rpm$ in a direction perpendicular to the magnetic field. The value of the induced $AC$ current in the coil will be . . . . . . $mA$.

Medium

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In the given arrangement,a loop of width $b$ is moved with constant velocity $v$ through a uniform magnetic field $B$ restricted to a region of width $a$ (where $b > a$). The total time for which an $emf$ is induced in the circuit is:

Medium

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When a rod of length $l$ is rotated with angular velocity $\omega$ in a uniform magnetic field of induction $B$ perpendicular to the plane of rotation,about one of its ends,the induced emf across its ends is:

$A$ rod of $10 \ cm$ length is moving perpendicular to a uniform magnetic field of intensity $5 \times 10^{-4} \ Wb/m^2$. If the acceleration of the rod is $5 \ m/s^2$, then the rate of increase of induced $emf$ is . . . . . . .

In the given arrangement,a loop of width $b$ is moved with constant velocity $v$ through a uniform magnetic field $B$ restricted to a region of width $a$ (where $b > a$). The total time for which an $emf$ is induced in the circuit is:

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