(C) Given: $N = 100$, $A = 2 \, m^2$, $\omega = 30 \, rad/s$, $B = 2 \times 10^{-2} \, T$, $R = 600 \, \Omega$.The peak electromotive force $(E_0)$ in

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(C) Given: $N = 100$, $A = 2 \, m^2$, $\omega = 30 \, rad/s$, $B = 2 \times 10^{-2} \, T$, $R = 600 \, \Omega$.The peak electromotive force $(E_0)$ induced in the coil is given by:$E_0 = N A B \omega$$E_0 = 100 \times 2 \times (2 \times 10^{-2}) \times 30$$E_0 = 100 \times 2 \times 0.02 \times 30 = 120 \, V$.The maximum power dissipated in an $A.C.$ circuit is given by:$P_{\max} = \frac{E_0^2}{2R}$Substituting the values:$P_{\max} = \frac{120 \times 120}{2 \times 600}$$P_{\max} = \frac{14400}{1200} = 12 \, W$.

Class 12 Physics Alternating Current Mix Examples-Alternating Current

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The coil of an $A.C.$ generator has $100$ turns, each of cross-sectional area $2 \, m^2$. It is rotating at a constant angular speed of $30 \, rad/s$ in a uniform magnetic field of $2 \times 10^{-2} \, T$. If the total resistance of the circuit is $600 \, \Omega$, then the maximum power dissipated in the circuit is: (in $W$)

MHT CET 2023 All MHT CET

A
$6$
B
$9$
C
$12$
D
$24$

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Match the List-$I$ with List-$II$.

List-$I$ List-$II$

$A$. $AC$ generator $I$. Presence of both $L$ and $C$

$B$. Transformer $II$. Electromagnetic Induction

$C$. Resonance phenomenon to occur $III$. Quality factor

$D$. Sharpness of resonance $IV$. Mutual Inductance

Choose the correct answer from the options given below:

List-$I$	List-$II$
$A$. $AC$ generator	$I$. Presence of both $L$ and $C$
$B$. Transformer	$II$. Electromagnetic Induction
$C$. Resonance phenomenon to occur	$III$. Quality factor
$D$. Sharpness of resonance	$IV$. Mutual Inductance

MediumJEE MAIN 2023

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$L$,$C$,and $R$ represent the physical quantities inductance,capacitance,and resistance,respectively. Which of the following combinations has the dimensions of frequency?

Medium

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$A$ direct current of $10 \,A$ is superimposed on an alternating current $I = 40 \cos \omega t \; (A)$ flowing through a wire. The effective value of the resulting current will be ....... $A$.

Medium

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Statement-$I$: $A$ capacitor can be used in an $a.c.$ circuit in place of a choke coil.
Statement-$II$: $A$ capacitor blocks $d.c.$ and allows $a.c.$ to pass.

Easy

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$A$ coil of self-inductance $L$ is connected in series with a bulb $B$ and an $AC$ source. The brightness of the bulb decreases when:

MediumAIPMT 2013

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$L$,$C$,and $R$ represent the physical quantities inductance,capacitance,and resistance,respectively. Which of the following combinations has the dimensions of frequency?

$A$ direct current of $10 \,A$ is superimposed on an alternating current $I = 40 \cos \omega t \; (A)$ flowing through a wire. The effective value of the resulting current will be ....... $A$.

Statement-$I$: $A$ capacitor can be used in an $a.c.$ circuit in place of a choke coil.Statement-$II$: $A$ capacitor blocks $d.c.$ and allows $a.c.$ to pass.

$A$ coil of self-inductance $L$ is connected in series with a bulb $B$ and an $AC$ source. The brightness of the bulb decreases when:

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Statement-$I$: $A$ capacitor can be used in an $a.c.$ circuit in place of a choke coil.
Statement-$II$: $A$ capacitor blocks $d.c.$ and allows $a.c.$ to pass.