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

155176 In the circuit given below, the capacitor $C$ is charged by closing the switch $S_{1}$ and opening the switch $S_{2}$. After charging, the switch $S_{1}$ is opened and $S_{2}$ is closed, then the maximum current in the circuit

1 $V \sqrt{\frac{L}{C}}$
2 $\mathrm{V} \sqrt{\frac{\mathrm{C}}{\mathrm{L}}}$
3 $\frac{\mathrm{V}}{2 \pi} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
4 $2 \pi \mathrm{V} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
Alternating Current

155178 Figure shows a circuit that constains three identical resistors with resistance $R=9.0 \Omega$ each, two identical inductors with inductance $L$ $=2.0 \mathrm{mH}$ each, and an ideal battery with emf e $=18 \mathrm{~V}$. The current $i$ through the battery just after the switch closed is

1 $2 \mathrm{~mA}$
2 $0.2 \mathrm{~A}$
3 $4 \mathrm{~A}$
4 $0 \mathrm{~A}$
Alternating Current

155179 An LCR series circuit is connected to an external emf, $e=200 \sin 100 \pi \mathrm{t}$. The values of capacitance and resistance in the circuit are 1 $\mu F$ and $100 \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry)

1 $\frac{100}{\pi^{2}}$
2 100
3 $100 \pi$
4 $10^{4}$
Alternating Current

155180 As given in the figure a series circuit connected across a $200 \mathrm{~V}, 60 \mathrm{~Hz}$ line consists of a capacitor of capacitive reactance $30 \Omega$, a non-inductive resistor of resistance $44 \Omega$, a coil of inductive reactance $90 \Omega$ and another resistance of resistance $36 \Omega$. The power dissipated in the circuit is-

1 $320 \mathrm{~W}$
2 $176 \mathrm{~W}$
3 $144 \mathrm{~W}$
4 $0 \mathrm{~W}$
Alternating Current

155181 An inductor, a resistor and a capacitor are joined in series with an $\mathrm{AC}$ source. As the frequency of the source is slightly increased from a very low value, the reactance of the

1 inductor increases
2 resistor increases
3 capacitor increases
4 circuit increases
Alternating Current

155176 In the circuit given below, the capacitor $C$ is charged by closing the switch $S_{1}$ and opening the switch $S_{2}$. After charging, the switch $S_{1}$ is opened and $S_{2}$ is closed, then the maximum current in the circuit

1 $V \sqrt{\frac{L}{C}}$
2 $\mathrm{V} \sqrt{\frac{\mathrm{C}}{\mathrm{L}}}$
3 $\frac{\mathrm{V}}{2 \pi} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
4 $2 \pi \mathrm{V} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
Alternating Current

155178 Figure shows a circuit that constains three identical resistors with resistance $R=9.0 \Omega$ each, two identical inductors with inductance $L$ $=2.0 \mathrm{mH}$ each, and an ideal battery with emf e $=18 \mathrm{~V}$. The current $i$ through the battery just after the switch closed is

1 $2 \mathrm{~mA}$
2 $0.2 \mathrm{~A}$
3 $4 \mathrm{~A}$
4 $0 \mathrm{~A}$
Alternating Current

155179 An LCR series circuit is connected to an external emf, $e=200 \sin 100 \pi \mathrm{t}$. The values of capacitance and resistance in the circuit are 1 $\mu F$ and $100 \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry)

1 $\frac{100}{\pi^{2}}$
2 100
3 $100 \pi$
4 $10^{4}$
Alternating Current

155180 As given in the figure a series circuit connected across a $200 \mathrm{~V}, 60 \mathrm{~Hz}$ line consists of a capacitor of capacitive reactance $30 \Omega$, a non-inductive resistor of resistance $44 \Omega$, a coil of inductive reactance $90 \Omega$ and another resistance of resistance $36 \Omega$. The power dissipated in the circuit is-

1 $320 \mathrm{~W}$
2 $176 \mathrm{~W}$
3 $144 \mathrm{~W}$
4 $0 \mathrm{~W}$
Alternating Current

155181 An inductor, a resistor and a capacitor are joined in series with an $\mathrm{AC}$ source. As the frequency of the source is slightly increased from a very low value, the reactance of the

1 inductor increases
2 resistor increases
3 capacitor increases
4 circuit increases
Alternating Current

155176 In the circuit given below, the capacitor $C$ is charged by closing the switch $S_{1}$ and opening the switch $S_{2}$. After charging, the switch $S_{1}$ is opened and $S_{2}$ is closed, then the maximum current in the circuit

1 $V \sqrt{\frac{L}{C}}$
2 $\mathrm{V} \sqrt{\frac{\mathrm{C}}{\mathrm{L}}}$
3 $\frac{\mathrm{V}}{2 \pi} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
4 $2 \pi \mathrm{V} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
Alternating Current

155178 Figure shows a circuit that constains three identical resistors with resistance $R=9.0 \Omega$ each, two identical inductors with inductance $L$ $=2.0 \mathrm{mH}$ each, and an ideal battery with emf e $=18 \mathrm{~V}$. The current $i$ through the battery just after the switch closed is

1 $2 \mathrm{~mA}$
2 $0.2 \mathrm{~A}$
3 $4 \mathrm{~A}$
4 $0 \mathrm{~A}$
Alternating Current

155179 An LCR series circuit is connected to an external emf, $e=200 \sin 100 \pi \mathrm{t}$. The values of capacitance and resistance in the circuit are 1 $\mu F$ and $100 \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry)

1 $\frac{100}{\pi^{2}}$
2 100
3 $100 \pi$
4 $10^{4}$
Alternating Current

155180 As given in the figure a series circuit connected across a $200 \mathrm{~V}, 60 \mathrm{~Hz}$ line consists of a capacitor of capacitive reactance $30 \Omega$, a non-inductive resistor of resistance $44 \Omega$, a coil of inductive reactance $90 \Omega$ and another resistance of resistance $36 \Omega$. The power dissipated in the circuit is-

1 $320 \mathrm{~W}$
2 $176 \mathrm{~W}$
3 $144 \mathrm{~W}$
4 $0 \mathrm{~W}$
Alternating Current

155181 An inductor, a resistor and a capacitor are joined in series with an $\mathrm{AC}$ source. As the frequency of the source is slightly increased from a very low value, the reactance of the

1 inductor increases
2 resistor increases
3 capacitor increases
4 circuit increases
Alternating Current

155176 In the circuit given below, the capacitor $C$ is charged by closing the switch $S_{1}$ and opening the switch $S_{2}$. After charging, the switch $S_{1}$ is opened and $S_{2}$ is closed, then the maximum current in the circuit

1 $V \sqrt{\frac{L}{C}}$
2 $\mathrm{V} \sqrt{\frac{\mathrm{C}}{\mathrm{L}}}$
3 $\frac{\mathrm{V}}{2 \pi} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
4 $2 \pi \mathrm{V} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
Alternating Current

155178 Figure shows a circuit that constains three identical resistors with resistance $R=9.0 \Omega$ each, two identical inductors with inductance $L$ $=2.0 \mathrm{mH}$ each, and an ideal battery with emf e $=18 \mathrm{~V}$. The current $i$ through the battery just after the switch closed is

1 $2 \mathrm{~mA}$
2 $0.2 \mathrm{~A}$
3 $4 \mathrm{~A}$
4 $0 \mathrm{~A}$
Alternating Current

155179 An LCR series circuit is connected to an external emf, $e=200 \sin 100 \pi \mathrm{t}$. The values of capacitance and resistance in the circuit are 1 $\mu F$ and $100 \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry)

1 $\frac{100}{\pi^{2}}$
2 100
3 $100 \pi$
4 $10^{4}$
Alternating Current

155180 As given in the figure a series circuit connected across a $200 \mathrm{~V}, 60 \mathrm{~Hz}$ line consists of a capacitor of capacitive reactance $30 \Omega$, a non-inductive resistor of resistance $44 \Omega$, a coil of inductive reactance $90 \Omega$ and another resistance of resistance $36 \Omega$. The power dissipated in the circuit is-

1 $320 \mathrm{~W}$
2 $176 \mathrm{~W}$
3 $144 \mathrm{~W}$
4 $0 \mathrm{~W}$
Alternating Current

155181 An inductor, a resistor and a capacitor are joined in series with an $\mathrm{AC}$ source. As the frequency of the source is slightly increased from a very low value, the reactance of the

1 inductor increases
2 resistor increases
3 capacitor increases
4 circuit increases
Alternating Current

155176 In the circuit given below, the capacitor $C$ is charged by closing the switch $S_{1}$ and opening the switch $S_{2}$. After charging, the switch $S_{1}$ is opened and $S_{2}$ is closed, then the maximum current in the circuit

1 $V \sqrt{\frac{L}{C}}$
2 $\mathrm{V} \sqrt{\frac{\mathrm{C}}{\mathrm{L}}}$
3 $\frac{\mathrm{V}}{2 \pi} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
4 $2 \pi \mathrm{V} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$
Alternating Current

155178 Figure shows a circuit that constains three identical resistors with resistance $R=9.0 \Omega$ each, two identical inductors with inductance $L$ $=2.0 \mathrm{mH}$ each, and an ideal battery with emf e $=18 \mathrm{~V}$. The current $i$ through the battery just after the switch closed is

1 $2 \mathrm{~mA}$
2 $0.2 \mathrm{~A}$
3 $4 \mathrm{~A}$
4 $0 \mathrm{~A}$
Alternating Current

155179 An LCR series circuit is connected to an external emf, $e=200 \sin 100 \pi \mathrm{t}$. The values of capacitance and resistance in the circuit are 1 $\mu F$ and $100 \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry)

1 $\frac{100}{\pi^{2}}$
2 100
3 $100 \pi$
4 $10^{4}$
Alternating Current

155180 As given in the figure a series circuit connected across a $200 \mathrm{~V}, 60 \mathrm{~Hz}$ line consists of a capacitor of capacitive reactance $30 \Omega$, a non-inductive resistor of resistance $44 \Omega$, a coil of inductive reactance $90 \Omega$ and another resistance of resistance $36 \Omega$. The power dissipated in the circuit is-

1 $320 \mathrm{~W}$
2 $176 \mathrm{~W}$
3 $144 \mathrm{~W}$
4 $0 \mathrm{~W}$
Alternating Current

155181 An inductor, a resistor and a capacitor are joined in series with an $\mathrm{AC}$ source. As the frequency of the source is slightly increased from a very low value, the reactance of the

1 inductor increases
2 resistor increases
3 capacitor increases
4 circuit increases