04. Power in A.C. Circuit, Wattless Current or Idle Current
Alternating Current

155326 A resistor and an inductor are connected to an ac supply of $120 \mathrm{~V}$ and $50 \mathrm{~Hz}$. The current in the circuit is $3 \mathrm{~A}$. If the power consumed in the circuit is $108 \mathrm{~W}$, then the resistance in the circuit is

1 $12 \Omega$
2 $40 \Omega$
3 $\sqrt{(52 \times 25)} \Omega$
4 $360 \Omega$
Alternating Current

155327 An alternating voltage $V=V_{0} \sin \omega t$ is applied across a circuit. As a result, a current $I=I_{0} \sin$ $(\omega t-\pi / 2)$ flows in it. The power consumed per cycle is

1 Zero
2 $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
3 $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
4 $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Alternating Current

155328 A 100 W electric bulb produces electromagnetic radiation with electric field amplitude of $\frac{2 \mathrm{~V}}{\mathrm{~m}}$ at a distance of $10 \mathrm{~m}$. Assuming it as a point source, estimate the efficiency of the bulb.

1 $4.9 \%$
2 $2.5 \%$
3 $6.6 \%$
4 $19.7 \%$
Alternating Current

155329 An oscillating circuit consisting of a capacitor with capacitance $C=10 \mu \mathrm{F}$, a coil with inductance $L=6.0 \mu \mathrm{H}$ and active resistance $R=$ $10 \Omega$. The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with $50 \mathrm{~Hz}$ and $\mathrm{a} \mathrm{V}_{\mathrm{m}}$ of $280 \mathrm{~V}$ is

1 $3.8 \mathrm{~W}$
2 $48 \mathrm{~W}$
3 $3 \mathrm{~mW}$
4 $48 \mathrm{~mW}$
Alternating Current

155330 A coil has inductance of $0.4 \mathrm{H}$ and resistance of $8 \Omega$. It is connected to an $\mathrm{AC}$ source with peak emf $4 \mathrm{~V}$ and frequency $\frac{30}{\pi} \mathrm{Hz}$. The average power dissipated in the circuit is

1 $1 \mathrm{~W}$
2 $0.5 \mathrm{~W}$
3 $0.3 \mathrm{~W}$
4 $0.1 \mathrm{~W}$
Alternating Current

155326 A resistor and an inductor are connected to an ac supply of $120 \mathrm{~V}$ and $50 \mathrm{~Hz}$. The current in the circuit is $3 \mathrm{~A}$. If the power consumed in the circuit is $108 \mathrm{~W}$, then the resistance in the circuit is

1 $12 \Omega$
2 $40 \Omega$
3 $\sqrt{(52 \times 25)} \Omega$
4 $360 \Omega$
Alternating Current

155327 An alternating voltage $V=V_{0} \sin \omega t$ is applied across a circuit. As a result, a current $I=I_{0} \sin$ $(\omega t-\pi / 2)$ flows in it. The power consumed per cycle is

1 Zero
2 $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
3 $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
4 $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Alternating Current

155328 A 100 W electric bulb produces electromagnetic radiation with electric field amplitude of $\frac{2 \mathrm{~V}}{\mathrm{~m}}$ at a distance of $10 \mathrm{~m}$. Assuming it as a point source, estimate the efficiency of the bulb.

1 $4.9 \%$
2 $2.5 \%$
3 $6.6 \%$
4 $19.7 \%$
Alternating Current

155329 An oscillating circuit consisting of a capacitor with capacitance $C=10 \mu \mathrm{F}$, a coil with inductance $L=6.0 \mu \mathrm{H}$ and active resistance $R=$ $10 \Omega$. The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with $50 \mathrm{~Hz}$ and $\mathrm{a} \mathrm{V}_{\mathrm{m}}$ of $280 \mathrm{~V}$ is

1 $3.8 \mathrm{~W}$
2 $48 \mathrm{~W}$
3 $3 \mathrm{~mW}$
4 $48 \mathrm{~mW}$
Alternating Current

155330 A coil has inductance of $0.4 \mathrm{H}$ and resistance of $8 \Omega$. It is connected to an $\mathrm{AC}$ source with peak emf $4 \mathrm{~V}$ and frequency $\frac{30}{\pi} \mathrm{Hz}$. The average power dissipated in the circuit is

1 $1 \mathrm{~W}$
2 $0.5 \mathrm{~W}$
3 $0.3 \mathrm{~W}$
4 $0.1 \mathrm{~W}$
Alternating Current

155326 A resistor and an inductor are connected to an ac supply of $120 \mathrm{~V}$ and $50 \mathrm{~Hz}$. The current in the circuit is $3 \mathrm{~A}$. If the power consumed in the circuit is $108 \mathrm{~W}$, then the resistance in the circuit is

1 $12 \Omega$
2 $40 \Omega$
3 $\sqrt{(52 \times 25)} \Omega$
4 $360 \Omega$
Alternating Current

155327 An alternating voltage $V=V_{0} \sin \omega t$ is applied across a circuit. As a result, a current $I=I_{0} \sin$ $(\omega t-\pi / 2)$ flows in it. The power consumed per cycle is

1 Zero
2 $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
3 $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
4 $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Alternating Current

155328 A 100 W electric bulb produces electromagnetic radiation with electric field amplitude of $\frac{2 \mathrm{~V}}{\mathrm{~m}}$ at a distance of $10 \mathrm{~m}$. Assuming it as a point source, estimate the efficiency of the bulb.

1 $4.9 \%$
2 $2.5 \%$
3 $6.6 \%$
4 $19.7 \%$
Alternating Current

155329 An oscillating circuit consisting of a capacitor with capacitance $C=10 \mu \mathrm{F}$, a coil with inductance $L=6.0 \mu \mathrm{H}$ and active resistance $R=$ $10 \Omega$. The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with $50 \mathrm{~Hz}$ and $\mathrm{a} \mathrm{V}_{\mathrm{m}}$ of $280 \mathrm{~V}$ is

1 $3.8 \mathrm{~W}$
2 $48 \mathrm{~W}$
3 $3 \mathrm{~mW}$
4 $48 \mathrm{~mW}$
Alternating Current

155330 A coil has inductance of $0.4 \mathrm{H}$ and resistance of $8 \Omega$. It is connected to an $\mathrm{AC}$ source with peak emf $4 \mathrm{~V}$ and frequency $\frac{30}{\pi} \mathrm{Hz}$. The average power dissipated in the circuit is

1 $1 \mathrm{~W}$
2 $0.5 \mathrm{~W}$
3 $0.3 \mathrm{~W}$
4 $0.1 \mathrm{~W}$
Alternating Current

155326 A resistor and an inductor are connected to an ac supply of $120 \mathrm{~V}$ and $50 \mathrm{~Hz}$. The current in the circuit is $3 \mathrm{~A}$. If the power consumed in the circuit is $108 \mathrm{~W}$, then the resistance in the circuit is

1 $12 \Omega$
2 $40 \Omega$
3 $\sqrt{(52 \times 25)} \Omega$
4 $360 \Omega$
Alternating Current

155327 An alternating voltage $V=V_{0} \sin \omega t$ is applied across a circuit. As a result, a current $I=I_{0} \sin$ $(\omega t-\pi / 2)$ flows in it. The power consumed per cycle is

1 Zero
2 $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
3 $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
4 $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Alternating Current

155328 A 100 W electric bulb produces electromagnetic radiation with electric field amplitude of $\frac{2 \mathrm{~V}}{\mathrm{~m}}$ at a distance of $10 \mathrm{~m}$. Assuming it as a point source, estimate the efficiency of the bulb.

1 $4.9 \%$
2 $2.5 \%$
3 $6.6 \%$
4 $19.7 \%$
Alternating Current

155329 An oscillating circuit consisting of a capacitor with capacitance $C=10 \mu \mathrm{F}$, a coil with inductance $L=6.0 \mu \mathrm{H}$ and active resistance $R=$ $10 \Omega$. The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with $50 \mathrm{~Hz}$ and $\mathrm{a} \mathrm{V}_{\mathrm{m}}$ of $280 \mathrm{~V}$ is

1 $3.8 \mathrm{~W}$
2 $48 \mathrm{~W}$
3 $3 \mathrm{~mW}$
4 $48 \mathrm{~mW}$
Alternating Current

155330 A coil has inductance of $0.4 \mathrm{H}$ and resistance of $8 \Omega$. It is connected to an $\mathrm{AC}$ source with peak emf $4 \mathrm{~V}$ and frequency $\frac{30}{\pi} \mathrm{Hz}$. The average power dissipated in the circuit is

1 $1 \mathrm{~W}$
2 $0.5 \mathrm{~W}$
3 $0.3 \mathrm{~W}$
4 $0.1 \mathrm{~W}$
Alternating Current

155326 A resistor and an inductor are connected to an ac supply of $120 \mathrm{~V}$ and $50 \mathrm{~Hz}$. The current in the circuit is $3 \mathrm{~A}$. If the power consumed in the circuit is $108 \mathrm{~W}$, then the resistance in the circuit is

1 $12 \Omega$
2 $40 \Omega$
3 $\sqrt{(52 \times 25)} \Omega$
4 $360 \Omega$
Alternating Current

155327 An alternating voltage $V=V_{0} \sin \omega t$ is applied across a circuit. As a result, a current $I=I_{0} \sin$ $(\omega t-\pi / 2)$ flows in it. The power consumed per cycle is

1 Zero
2 $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
3 $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
4 $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Alternating Current

155328 A 100 W electric bulb produces electromagnetic radiation with electric field amplitude of $\frac{2 \mathrm{~V}}{\mathrm{~m}}$ at a distance of $10 \mathrm{~m}$. Assuming it as a point source, estimate the efficiency of the bulb.

1 $4.9 \%$
2 $2.5 \%$
3 $6.6 \%$
4 $19.7 \%$
Alternating Current

155329 An oscillating circuit consisting of a capacitor with capacitance $C=10 \mu \mathrm{F}$, a coil with inductance $L=6.0 \mu \mathrm{H}$ and active resistance $R=$ $10 \Omega$. The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with $50 \mathrm{~Hz}$ and $\mathrm{a} \mathrm{V}_{\mathrm{m}}$ of $280 \mathrm{~V}$ is

1 $3.8 \mathrm{~W}$
2 $48 \mathrm{~W}$
3 $3 \mathrm{~mW}$
4 $48 \mathrm{~mW}$
Alternating Current

155330 A coil has inductance of $0.4 \mathrm{H}$ and resistance of $8 \Omega$. It is connected to an $\mathrm{AC}$ source with peak emf $4 \mathrm{~V}$ and frequency $\frac{30}{\pi} \mathrm{Hz}$. The average power dissipated in the circuit is

1 $1 \mathrm{~W}$
2 $0.5 \mathrm{~W}$
3 $0.3 \mathrm{~W}$
4 $0.1 \mathrm{~W}$