02. A.C. Circuit (L-C-R, LC Circuit)
Alternating Current

155103 A fully charged capacitor ' $C$ ' with initial charge ' $q_{0}$ ' is connected to a coil of self inductance ' $L$ ' at $t=0$. The time at which the energy is stored equally between the electric and the magnetic field is

1 $\pi \sqrt{\mathrm{LC}}$
2 $\frac{\pi}{4} \sqrt{\mathrm{LC}}$
3 $2 \pi \sqrt{\mathrm{LC}}$
4 $\sqrt{\mathrm{LC}}$
Alternating Current

155104 In a series $L C R$ circuit $R=300 \Omega, L=0.9 \mathrm{H}, C$ $=2.0 \mu \mathrm{F}$ and $\omega=1000 \mathrm{rad} / \mathrm{sec}$., then impedance of the circuit is

1 $500 \Omega$
2 $400 \Omega$
3 $1300 \Omega$
4 $900 \Omega$
Alternating Current

155106 An RLC circuit consists of a $150 \Omega$ resistor, 20 $\mu F$ capacitor and a $500 \mathrm{mH}$ inductor connected in series with a $100 \mathrm{~V}$ AC supply. The angular frequency of the supply voltage is $400 \mathrm{rad} \mathrm{s}^{-1}$. The phase angle between current and the applied voltage is

1 $\tan ^{-1}(0.8)$
2 $\tan ^{-1}(0.25)$
3 $\tan ^{-1}(0.6)$
4 $\tan ^{-1}(0.5)$
Alternating Current

155110 A resistor of resistance of $100 \Omega$ is connected to an $A C$ source $E=10 \sin \left(250 \pi \mathrm{s}^{-1}\right) \mathrm{t}$.
The energy dissipated as heat during $t=0$ to $t=$ $\mathbf{1} \mathrm{ms}$ is approximately.

1 $\frac{0.57}{\pi} \mathrm{mj}$
2 $\frac{1.141}{\pi} \mathrm{mj}$
3 $1 \mathrm{mj}$
4 $0.5 \mathrm{mj}$
Alternating Current

155103 A fully charged capacitor ' $C$ ' with initial charge ' $q_{0}$ ' is connected to a coil of self inductance ' $L$ ' at $t=0$. The time at which the energy is stored equally between the electric and the magnetic field is

1 $\pi \sqrt{\mathrm{LC}}$
2 $\frac{\pi}{4} \sqrt{\mathrm{LC}}$
3 $2 \pi \sqrt{\mathrm{LC}}$
4 $\sqrt{\mathrm{LC}}$
Alternating Current

155104 In a series $L C R$ circuit $R=300 \Omega, L=0.9 \mathrm{H}, C$ $=2.0 \mu \mathrm{F}$ and $\omega=1000 \mathrm{rad} / \mathrm{sec}$., then impedance of the circuit is

1 $500 \Omega$
2 $400 \Omega$
3 $1300 \Omega$
4 $900 \Omega$
Alternating Current

155106 An RLC circuit consists of a $150 \Omega$ resistor, 20 $\mu F$ capacitor and a $500 \mathrm{mH}$ inductor connected in series with a $100 \mathrm{~V}$ AC supply. The angular frequency of the supply voltage is $400 \mathrm{rad} \mathrm{s}^{-1}$. The phase angle between current and the applied voltage is

1 $\tan ^{-1}(0.8)$
2 $\tan ^{-1}(0.25)$
3 $\tan ^{-1}(0.6)$
4 $\tan ^{-1}(0.5)$
Alternating Current

155110 A resistor of resistance of $100 \Omega$ is connected to an $A C$ source $E=10 \sin \left(250 \pi \mathrm{s}^{-1}\right) \mathrm{t}$.
The energy dissipated as heat during $t=0$ to $t=$ $\mathbf{1} \mathrm{ms}$ is approximately.

1 $\frac{0.57}{\pi} \mathrm{mj}$
2 $\frac{1.141}{\pi} \mathrm{mj}$
3 $1 \mathrm{mj}$
4 $0.5 \mathrm{mj}$
Alternating Current

155103 A fully charged capacitor ' $C$ ' with initial charge ' $q_{0}$ ' is connected to a coil of self inductance ' $L$ ' at $t=0$. The time at which the energy is stored equally between the electric and the magnetic field is

1 $\pi \sqrt{\mathrm{LC}}$
2 $\frac{\pi}{4} \sqrt{\mathrm{LC}}$
3 $2 \pi \sqrt{\mathrm{LC}}$
4 $\sqrt{\mathrm{LC}}$
Alternating Current

155104 In a series $L C R$ circuit $R=300 \Omega, L=0.9 \mathrm{H}, C$ $=2.0 \mu \mathrm{F}$ and $\omega=1000 \mathrm{rad} / \mathrm{sec}$., then impedance of the circuit is

1 $500 \Omega$
2 $400 \Omega$
3 $1300 \Omega$
4 $900 \Omega$
Alternating Current

155106 An RLC circuit consists of a $150 \Omega$ resistor, 20 $\mu F$ capacitor and a $500 \mathrm{mH}$ inductor connected in series with a $100 \mathrm{~V}$ AC supply. The angular frequency of the supply voltage is $400 \mathrm{rad} \mathrm{s}^{-1}$. The phase angle between current and the applied voltage is

1 $\tan ^{-1}(0.8)$
2 $\tan ^{-1}(0.25)$
3 $\tan ^{-1}(0.6)$
4 $\tan ^{-1}(0.5)$
Alternating Current

155110 A resistor of resistance of $100 \Omega$ is connected to an $A C$ source $E=10 \sin \left(250 \pi \mathrm{s}^{-1}\right) \mathrm{t}$.
The energy dissipated as heat during $t=0$ to $t=$ $\mathbf{1} \mathrm{ms}$ is approximately.

1 $\frac{0.57}{\pi} \mathrm{mj}$
2 $\frac{1.141}{\pi} \mathrm{mj}$
3 $1 \mathrm{mj}$
4 $0.5 \mathrm{mj}$
Alternating Current

155103 A fully charged capacitor ' $C$ ' with initial charge ' $q_{0}$ ' is connected to a coil of self inductance ' $L$ ' at $t=0$. The time at which the energy is stored equally between the electric and the magnetic field is

1 $\pi \sqrt{\mathrm{LC}}$
2 $\frac{\pi}{4} \sqrt{\mathrm{LC}}$
3 $2 \pi \sqrt{\mathrm{LC}}$
4 $\sqrt{\mathrm{LC}}$
Alternating Current

155104 In a series $L C R$ circuit $R=300 \Omega, L=0.9 \mathrm{H}, C$ $=2.0 \mu \mathrm{F}$ and $\omega=1000 \mathrm{rad} / \mathrm{sec}$., then impedance of the circuit is

1 $500 \Omega$
2 $400 \Omega$
3 $1300 \Omega$
4 $900 \Omega$
Alternating Current

155106 An RLC circuit consists of a $150 \Omega$ resistor, 20 $\mu F$ capacitor and a $500 \mathrm{mH}$ inductor connected in series with a $100 \mathrm{~V}$ AC supply. The angular frequency of the supply voltage is $400 \mathrm{rad} \mathrm{s}^{-1}$. The phase angle between current and the applied voltage is

1 $\tan ^{-1}(0.8)$
2 $\tan ^{-1}(0.25)$
3 $\tan ^{-1}(0.6)$
4 $\tan ^{-1}(0.5)$
Alternating Current

155110 A resistor of resistance of $100 \Omega$ is connected to an $A C$ source $E=10 \sin \left(250 \pi \mathrm{s}^{-1}\right) \mathrm{t}$.
The energy dissipated as heat during $t=0$ to $t=$ $\mathbf{1} \mathrm{ms}$ is approximately.

1 $\frac{0.57}{\pi} \mathrm{mj}$
2 $\frac{1.141}{\pi} \mathrm{mj}$
3 $1 \mathrm{mj}$
4 $0.5 \mathrm{mj}$