(D) Given: Number of turns $N = 100$,Area $A = 0.10$ $m^2$,Magnetic field $B = 0.01$ $T$,Frequency $f = 0.5$ $rev/s$.Angular frequency $\omega = 2 \pi

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(D) Given: Number of turns $N = 100$,Area $A = 0.10$ $m^2$,Magnetic field $B = 0.01$ $T$,Frequency $f = 0.5$ $rev/s$.Angular frequency $\omega = 2 \pi f = 2 \times 3.14 \times 0.5 = 3.14$ $rad/s$.The maximum induced electromotive force (voltage) is given by the formula $e_0 = N B A \omega$.Substituting the values: $e_0 = 100 \times 0.01 \times 0.10 \times 3.14$.$e_0 = 1 \times 0.10 \times 3.14 = 0.314$ $V$.Thus,the maximum voltage generated in the coil is $0.314$ $V$.

Class 12 Physics Electromagnetic Induction Dynamic EMI and Periodic EMI

Medium

$A$ student pedals 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 generated in the coil (in $V$)?

A
$1.314$
B
$1.214$
C
$2.314$
D
$0.314$

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Class 12 Questions

Class 12

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Chapter

Electromagnetic Induction

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Dynamic EMI and Periodic EMI

An elliptical loop having resistance $R$,semi-major axis $a$,and semi-minor axis $b$ is placed in a magnetic field as shown in the figure. If the loop is rotated about the $x$-axis with angular frequency $\omega$,the average power loss in the loop due to Joule heating is:

DifficultJEE MAIN 2020

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$A$ circular coil of area $0.01 \ m^2$ and $40$ turns is rotated about its vertical diameter with an angular speed of $50 \ rad \ s^{-1}$ in a uniform horizontal magnetic field of $0.05 \ T$. If the average power loss due to Joule heating is $25 \ mW$,then the closed loop resistance of the coil is: (in $\Omega$)

DifficultAP EAMCET 2022

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Which statement is correct for the phenomenon of periodic electromagnetic induction in a rotating coil?

Medium

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$A$ long solenoid is carrying a current $I = I_0 \sin(\omega t)$,having $N$ turns per unit length and radius $R$. $A$ square loop is placed inside the solenoid with its plane perpendicular to the solenoid axis,and its corners touching the solenoid. Find the emf induced in the square coil.

EasyAP EAMCET 2022

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$A$ ring of resistance $10 \ \Omega$,radius $10 \ cm$ and $100$ turns is rotated at a rate of $100$ revolutions per second about its diameter perpendicular to a uniform magnetic field of induction $10 \ mT$. The amplitude of the current in the loop will be nearly $....... \ A$. (Take: $\pi^2 = 10$)

Easy

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An elliptical loop having resistance $R$,semi-major axis $a$,and semi-minor axis $b$ is placed in a magnetic field as shown in the figure. If the loop is rotated about the $x$-axis with angular frequency $\omega$,the average power loss in the loop due to Joule heating is:

Which statement is correct for the phenomenon of periodic electromagnetic induction in a rotating coil?

$A$ long solenoid is carrying a current $I = I_0 \sin(\omega t)$,having $N$ turns per unit length and radius $R$. $A$ square loop is placed inside the solenoid with its plane perpendicular to the solenoid axis,and its corners touching the solenoid. Find the emf induced in the square coil.

$A$ ring of resistance $10 \ \Omega$,radius $10 \ cm$ and $100$ turns is rotated at a rate of $100$ revolutions per second about its diameter perpendicular to a uniform magnetic field of induction $10 \ mT$. The amplitude of the current in the loop will be nearly $....... \ A$. (Take: $\pi^2 = 10$)

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