07. Power in AC Circuit: the Power Factor
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AC (NCERT)

274673 A coil of inductive reactance $31\text{ }\!\!\Omega\!\!\text{ }$ has a resistance of $8\text{ }\!\!\Omega\!\!\text{ }$. It is placed in series with a condenser of capacitative reactance $25\text{ }\!\!\Omega\!\!\text{ }$. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

1 0.64
2 0.80
3 0.33
4 0.56
NCERT Page-252 / N-191
AC (NCERT)

274674 In an a.c. circuit the voltage applied is $\text{E}={{\text{E}}_{0}}$ sin $\omega $. The resulting current in the circuit is $I={{I}_{0}}\text{sin}\left( \omega t-\frac{\pi }{2} \right)$.
The power consumption in the circuit is given by

1 $\text{P}=\sqrt{2}{{\text{E}}_{0}}{{\text{I}}_{0}}$
2 $P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}$
3 $\text{P}=$ zero
4 $\text{P}=\frac{{{\text{E}}_{0}}{{\text{I}}_{0}}}{2}$
NCERT Page-252 / N-191
AC (NCERT)

274675 In an A.C. circuit, the current flowing in inductance is $I=5\text{sin}\left( 100t-\pi /2 \right)$ amperes and the potential difference is $\text{V}=200\text{sin}\left( 100\text{t} \right)$ volts. The power consumption is equal to

1 1000 watt
2 40 watt
3 20 watt
4 Zero
NCERT Page-252/ N-191
AC (NCERT)

274676 A resistance ' $R$ ' draws power ' $P$ ' when connected to an $AC$ source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ' $\text{Z}$ ', the power drawn will Be

1 $P\sqrt{\frac{R}{Z}}$
2 $P\left( \frac{R}{Z} \right)$
3 $\text{P}$
4 $\text{P}{{\left( \frac{\text{R}}{\text{Z}} \right)}^{2}}$
NCERT Page-252 / N-191
AC (NCERT)

274677 Two coils A and B are connected in series across a $240\text{V}$, $50\text{Hz}$ supply. The resistance of $\text{A}$ is $5\text{ }\!\!\Omega\!\!\text{ }$ and the inductance of $B$ is $0.02\text{H}$. The power consumed is $3\text{kW}$ and the power factor is 0.75 . The impedance of the circuit is

1 $0.144\text{ }\!\!\Omega\!\!\text{ }$
2 $1.44\text{ }\!\!\Omega\!\!\text{ }$
3 $14.4\text{ }\!\!\Omega\!\!\text{ }$
4 $144\text{ }\!\!\Omega\!\!\text{ }$
NCERT Page-252 / N-191
NEET DIGITAL LIBRARY
AC (NCERT)

274673 A coil of inductive reactance $31\text{ }\!\!\Omega\!\!\text{ }$ has a resistance of $8\text{ }\!\!\Omega\!\!\text{ }$. It is placed in series with a condenser of capacitative reactance $25\text{ }\!\!\Omega\!\!\text{ }$. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

1 0.64
2 0.80
3 0.33
4 0.56
NCERT Page-252 / N-191
AC (NCERT)

274674 In an a.c. circuit the voltage applied is $\text{E}={{\text{E}}_{0}}$ sin $\omega $. The resulting current in the circuit is $I={{I}_{0}}\text{sin}\left( \omega t-\frac{\pi }{2} \right)$.
The power consumption in the circuit is given by

1 $\text{P}=\sqrt{2}{{\text{E}}_{0}}{{\text{I}}_{0}}$
2 $P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}$
3 $\text{P}=$ zero
4 $\text{P}=\frac{{{\text{E}}_{0}}{{\text{I}}_{0}}}{2}$
NCERT Page-252 / N-191
AC (NCERT)

274675 In an A.C. circuit, the current flowing in inductance is $I=5\text{sin}\left( 100t-\pi /2 \right)$ amperes and the potential difference is $\text{V}=200\text{sin}\left( 100\text{t} \right)$ volts. The power consumption is equal to

1 1000 watt
2 40 watt
3 20 watt
4 Zero
NCERT Page-252/ N-191
AC (NCERT)

274676 A resistance ' $R$ ' draws power ' $P$ ' when connected to an $AC$ source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ' $\text{Z}$ ', the power drawn will Be

1 $P\sqrt{\frac{R}{Z}}$
2 $P\left( \frac{R}{Z} \right)$
3 $\text{P}$
4 $\text{P}{{\left( \frac{\text{R}}{\text{Z}} \right)}^{2}}$
NCERT Page-252 / N-191
AC (NCERT)

274677 Two coils A and B are connected in series across a $240\text{V}$, $50\text{Hz}$ supply. The resistance of $\text{A}$ is $5\text{ }\!\!\Omega\!\!\text{ }$ and the inductance of $B$ is $0.02\text{H}$. The power consumed is $3\text{kW}$ and the power factor is 0.75 . The impedance of the circuit is

1 $0.144\text{ }\!\!\Omega\!\!\text{ }$
2 $1.44\text{ }\!\!\Omega\!\!\text{ }$
3 $14.4\text{ }\!\!\Omega\!\!\text{ }$
4 $144\text{ }\!\!\Omega\!\!\text{ }$
NCERT Page-252 / N-191
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AC (NCERT)

274673 A coil of inductive reactance $31\text{ }\!\!\Omega\!\!\text{ }$ has a resistance of $8\text{ }\!\!\Omega\!\!\text{ }$. It is placed in series with a condenser of capacitative reactance $25\text{ }\!\!\Omega\!\!\text{ }$. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

1 0.64
2 0.80
3 0.33
4 0.56
NCERT Page-252 / N-191
AC (NCERT)

274674 In an a.c. circuit the voltage applied is $\text{E}={{\text{E}}_{0}}$ sin $\omega $. The resulting current in the circuit is $I={{I}_{0}}\text{sin}\left( \omega t-\frac{\pi }{2} \right)$.
The power consumption in the circuit is given by

1 $\text{P}=\sqrt{2}{{\text{E}}_{0}}{{\text{I}}_{0}}$
2 $P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}$
3 $\text{P}=$ zero
4 $\text{P}=\frac{{{\text{E}}_{0}}{{\text{I}}_{0}}}{2}$
NCERT Page-252 / N-191
AC (NCERT)

274675 In an A.C. circuit, the current flowing in inductance is $I=5\text{sin}\left( 100t-\pi /2 \right)$ amperes and the potential difference is $\text{V}=200\text{sin}\left( 100\text{t} \right)$ volts. The power consumption is equal to

1 1000 watt
2 40 watt
3 20 watt
4 Zero
NCERT Page-252/ N-191
AC (NCERT)

274676 A resistance ' $R$ ' draws power ' $P$ ' when connected to an $AC$ source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ' $\text{Z}$ ', the power drawn will Be

1 $P\sqrt{\frac{R}{Z}}$
2 $P\left( \frac{R}{Z} \right)$
3 $\text{P}$
4 $\text{P}{{\left( \frac{\text{R}}{\text{Z}} \right)}^{2}}$
NCERT Page-252 / N-191
AC (NCERT)

274677 Two coils A and B are connected in series across a $240\text{V}$, $50\text{Hz}$ supply. The resistance of $\text{A}$ is $5\text{ }\!\!\Omega\!\!\text{ }$ and the inductance of $B$ is $0.02\text{H}$. The power consumed is $3\text{kW}$ and the power factor is 0.75 . The impedance of the circuit is

1 $0.144\text{ }\!\!\Omega\!\!\text{ }$
2 $1.44\text{ }\!\!\Omega\!\!\text{ }$
3 $14.4\text{ }\!\!\Omega\!\!\text{ }$
4 $144\text{ }\!\!\Omega\!\!\text{ }$
NCERT Page-252 / N-191
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AC (NCERT)

274673 A coil of inductive reactance $31\text{ }\!\!\Omega\!\!\text{ }$ has a resistance of $8\text{ }\!\!\Omega\!\!\text{ }$. It is placed in series with a condenser of capacitative reactance $25\text{ }\!\!\Omega\!\!\text{ }$. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

1 0.64
2 0.80
3 0.33
4 0.56
NCERT Page-252 / N-191
AC (NCERT)

274674 In an a.c. circuit the voltage applied is $\text{E}={{\text{E}}_{0}}$ sin $\omega $. The resulting current in the circuit is $I={{I}_{0}}\text{sin}\left( \omega t-\frac{\pi }{2} \right)$.
The power consumption in the circuit is given by

1 $\text{P}=\sqrt{2}{{\text{E}}_{0}}{{\text{I}}_{0}}$
2 $P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}$
3 $\text{P}=$ zero
4 $\text{P}=\frac{{{\text{E}}_{0}}{{\text{I}}_{0}}}{2}$
NCERT Page-252 / N-191
AC (NCERT)

274675 In an A.C. circuit, the current flowing in inductance is $I=5\text{sin}\left( 100t-\pi /2 \right)$ amperes and the potential difference is $\text{V}=200\text{sin}\left( 100\text{t} \right)$ volts. The power consumption is equal to

1 1000 watt
2 40 watt
3 20 watt
4 Zero
NCERT Page-252/ N-191
AC (NCERT)

274676 A resistance ' $R$ ' draws power ' $P$ ' when connected to an $AC$ source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ' $\text{Z}$ ', the power drawn will Be

1 $P\sqrt{\frac{R}{Z}}$
2 $P\left( \frac{R}{Z} \right)$
3 $\text{P}$
4 $\text{P}{{\left( \frac{\text{R}}{\text{Z}} \right)}^{2}}$
NCERT Page-252 / N-191
AC (NCERT)

274677 Two coils A and B are connected in series across a $240\text{V}$, $50\text{Hz}$ supply. The resistance of $\text{A}$ is $5\text{ }\!\!\Omega\!\!\text{ }$ and the inductance of $B$ is $0.02\text{H}$. The power consumed is $3\text{kW}$ and the power factor is 0.75 . The impedance of the circuit is

1 $0.144\text{ }\!\!\Omega\!\!\text{ }$
2 $1.44\text{ }\!\!\Omega\!\!\text{ }$
3 $14.4\text{ }\!\!\Omega\!\!\text{ }$
4 $144\text{ }\!\!\Omega\!\!\text{ }$
NCERT Page-252 / N-191
NEET DIGITAL LIBRARY
AC (NCERT)

274673 A coil of inductive reactance $31\text{ }\!\!\Omega\!\!\text{ }$ has a resistance of $8\text{ }\!\!\Omega\!\!\text{ }$. It is placed in series with a condenser of capacitative reactance $25\text{ }\!\!\Omega\!\!\text{ }$. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

1 0.64
2 0.80
3 0.33
4 0.56
NCERT Page-252 / N-191
AC (NCERT)

274674 In an a.c. circuit the voltage applied is $\text{E}={{\text{E}}_{0}}$ sin $\omega $. The resulting current in the circuit is $I={{I}_{0}}\text{sin}\left( \omega t-\frac{\pi }{2} \right)$.
The power consumption in the circuit is given by

1 $\text{P}=\sqrt{2}{{\text{E}}_{0}}{{\text{I}}_{0}}$
2 $P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}$
3 $\text{P}=$ zero
4 $\text{P}=\frac{{{\text{E}}_{0}}{{\text{I}}_{0}}}{2}$
NCERT Page-252 / N-191
AC (NCERT)

274675 In an A.C. circuit, the current flowing in inductance is $I=5\text{sin}\left( 100t-\pi /2 \right)$ amperes and the potential difference is $\text{V}=200\text{sin}\left( 100\text{t} \right)$ volts. The power consumption is equal to

1 1000 watt
2 40 watt
3 20 watt
4 Zero
NCERT Page-252/ N-191
AC (NCERT)

274676 A resistance ' $R$ ' draws power ' $P$ ' when connected to an $AC$ source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ' $\text{Z}$ ', the power drawn will Be

1 $P\sqrt{\frac{R}{Z}}$
2 $P\left( \frac{R}{Z} \right)$
3 $\text{P}$
4 $\text{P}{{\left( \frac{\text{R}}{\text{Z}} \right)}^{2}}$
NCERT Page-252 / N-191
AC (NCERT)

274677 Two coils A and B are connected in series across a $240\text{V}$, $50\text{Hz}$ supply. The resistance of $\text{A}$ is $5\text{ }\!\!\Omega\!\!\text{ }$ and the inductance of $B$ is $0.02\text{H}$. The power consumed is $3\text{kW}$ and the power factor is 0.75 . The impedance of the circuit is

1 $0.144\text{ }\!\!\Omega\!\!\text{ }$
2 $1.44\text{ }\!\!\Omega\!\!\text{ }$
3 $14.4\text{ }\!\!\Omega\!\!\text{ }$
4 $144\text{ }\!\!\Omega\!\!\text{ }$
NCERT Page-252 / N-191