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

155340 Voltage $V$ and current $i$ in $A C$ circuit are given by $V=50 \sin (50$ t $)$ volt, $i=100 \sin$ $\left(50 t+\frac{\pi}{3}\right) \mathrm{mA}$. The power dissipated in the circuit is

1 $5.0 \mathrm{~W}$
2 $2.5 \mathrm{~W}$
3 $1.25 \mathrm{~W}$
4 zero
Alternating Current

155342 An alternating voltage $V=200 \sin 100 \mathrm{t}$ is applied to a series combination $R=30 \Omega$ and an inductor of $400 \mathrm{mH}$. The power factor of the circuit is

1 0.01
2 0.2
3 0.05
4 0.042
5 0.6
Alternating Current

155343 The rms current in an $\mathrm{AC}$ circuit is $2 \mathrm{~A}$. If the wattless current be $\sqrt{3} \mathrm{~A}$, what is the power factor of the circuit?

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

155344 The potential difference across an instrument in an $A C$ circuit of frequency $f$ is $V$ and the current through it is I such that $V=5 \cos 2 \pi \mathrm{ft}$ volt and $I=2 \sin 2 \pi \mathrm{ft}$ amp. The power dissipated in the instrument is:

1 zero
2 $10 \mathrm{~W}$
3 $5 \mathrm{~W}$
4 $2.5 \mathrm{~W}$
Alternating Current

155340 Voltage $V$ and current $i$ in $A C$ circuit are given by $V=50 \sin (50$ t $)$ volt, $i=100 \sin$ $\left(50 t+\frac{\pi}{3}\right) \mathrm{mA}$. The power dissipated in the circuit is

1 $5.0 \mathrm{~W}$
2 $2.5 \mathrm{~W}$
3 $1.25 \mathrm{~W}$
4 zero
Alternating Current

155342 An alternating voltage $V=200 \sin 100 \mathrm{t}$ is applied to a series combination $R=30 \Omega$ and an inductor of $400 \mathrm{mH}$. The power factor of the circuit is

1 0.01
2 0.2
3 0.05
4 0.042
5 0.6
Alternating Current

155343 The rms current in an $\mathrm{AC}$ circuit is $2 \mathrm{~A}$. If the wattless current be $\sqrt{3} \mathrm{~A}$, what is the power factor of the circuit?

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

155344 The potential difference across an instrument in an $A C$ circuit of frequency $f$ is $V$ and the current through it is I such that $V=5 \cos 2 \pi \mathrm{ft}$ volt and $I=2 \sin 2 \pi \mathrm{ft}$ amp. The power dissipated in the instrument is:

1 zero
2 $10 \mathrm{~W}$
3 $5 \mathrm{~W}$
4 $2.5 \mathrm{~W}$
Alternating Current

155340 Voltage $V$ and current $i$ in $A C$ circuit are given by $V=50 \sin (50$ t $)$ volt, $i=100 \sin$ $\left(50 t+\frac{\pi}{3}\right) \mathrm{mA}$. The power dissipated in the circuit is

1 $5.0 \mathrm{~W}$
2 $2.5 \mathrm{~W}$
3 $1.25 \mathrm{~W}$
4 zero
Alternating Current

155342 An alternating voltage $V=200 \sin 100 \mathrm{t}$ is applied to a series combination $R=30 \Omega$ and an inductor of $400 \mathrm{mH}$. The power factor of the circuit is

1 0.01
2 0.2
3 0.05
4 0.042
5 0.6
Alternating Current

155343 The rms current in an $\mathrm{AC}$ circuit is $2 \mathrm{~A}$. If the wattless current be $\sqrt{3} \mathrm{~A}$, what is the power factor of the circuit?

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

155344 The potential difference across an instrument in an $A C$ circuit of frequency $f$ is $V$ and the current through it is I such that $V=5 \cos 2 \pi \mathrm{ft}$ volt and $I=2 \sin 2 \pi \mathrm{ft}$ amp. The power dissipated in the instrument is:

1 zero
2 $10 \mathrm{~W}$
3 $5 \mathrm{~W}$
4 $2.5 \mathrm{~W}$
Alternating Current

155340 Voltage $V$ and current $i$ in $A C$ circuit are given by $V=50 \sin (50$ t $)$ volt, $i=100 \sin$ $\left(50 t+\frac{\pi}{3}\right) \mathrm{mA}$. The power dissipated in the circuit is

1 $5.0 \mathrm{~W}$
2 $2.5 \mathrm{~W}$
3 $1.25 \mathrm{~W}$
4 zero
Alternating Current

155342 An alternating voltage $V=200 \sin 100 \mathrm{t}$ is applied to a series combination $R=30 \Omega$ and an inductor of $400 \mathrm{mH}$. The power factor of the circuit is

1 0.01
2 0.2
3 0.05
4 0.042
5 0.6
Alternating Current

155343 The rms current in an $\mathrm{AC}$ circuit is $2 \mathrm{~A}$. If the wattless current be $\sqrt{3} \mathrm{~A}$, what is the power factor of the circuit?

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

155344 The potential difference across an instrument in an $A C$ circuit of frequency $f$ is $V$ and the current through it is I such that $V=5 \cos 2 \pi \mathrm{ft}$ volt and $I=2 \sin 2 \pi \mathrm{ft}$ amp. The power dissipated in the instrument is:

1 zero
2 $10 \mathrm{~W}$
3 $5 \mathrm{~W}$
4 $2.5 \mathrm{~W}$
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