Power in AC Circuits
PHXII07:ALTERNATING CURRENT

356149 An \(AC\) voltage \(V=20 \sin 200 \pi t\) is applied to a series \(LCR\) circuit which drives a current \(I=10 \sin \left(200 \pi t+\dfrac{\pi}{3}\right)\). The average power dissipated is

1 \(50\,W\)
2 \(200\,W\)
3 \(173.2\,W\)
4 \(21.6\,{W^ - }\)
PHXII07:ALTERNATING CURRENT

356150 Calculate the value of inductance which should be connected in series with a capacitance of \(5\,\mu F\) and a resistance of \(10\,\Omega \) and an \(a.c\) source of \(50\;Hz\), so that the power factor of the circuit is unity.

1 \(2.028\,H\)
2 \(2.029\,H\)
3 \(2.026{\mkern 1mu} H\)
4 \(2.01\,H\)
PHXII07:ALTERNATING CURRENT

356151 A series \(LR\) circuit is connected to an ac source of frequency \(\omega\) and the inductive reactance is equal to \(2R\). A capacitance of capacitive reactance equal to \(R\) is added in series with \(L\) and \(R\). The ratio of the new power factor to the old one is :

1 \(\sqrt{\dfrac{3}{2}}\)
2 \(\sqrt{\dfrac{2}{5}}\)
3 \(\sqrt{\dfrac{2}{3}}\)
4 \(\sqrt{\dfrac{5}{2}}\)
PHXII07:ALTERNATING CURRENT

356152 A inductor 20 \(mH\), a capacitor \(100\mu F\) and a resistor \(5\Omega \) are connected in series across a source of emf, \(V = 10\,\sin \,314t\). The power loss in the circuit is

1 \(2.74\,W\)
2 \(1.13\,W\)
3 \(0.\,43\,W\)
4 \(0.\,79\,W\)
PHXII07:ALTERNATING CURRENT

356149 An \(AC\) voltage \(V=20 \sin 200 \pi t\) is applied to a series \(LCR\) circuit which drives a current \(I=10 \sin \left(200 \pi t+\dfrac{\pi}{3}\right)\). The average power dissipated is

1 \(50\,W\)
2 \(200\,W\)
3 \(173.2\,W\)
4 \(21.6\,{W^ - }\)
PHXII07:ALTERNATING CURRENT

356150 Calculate the value of inductance which should be connected in series with a capacitance of \(5\,\mu F\) and a resistance of \(10\,\Omega \) and an \(a.c\) source of \(50\;Hz\), so that the power factor of the circuit is unity.

1 \(2.028\,H\)
2 \(2.029\,H\)
3 \(2.026{\mkern 1mu} H\)
4 \(2.01\,H\)
PHXII07:ALTERNATING CURRENT

356151 A series \(LR\) circuit is connected to an ac source of frequency \(\omega\) and the inductive reactance is equal to \(2R\). A capacitance of capacitive reactance equal to \(R\) is added in series with \(L\) and \(R\). The ratio of the new power factor to the old one is :

1 \(\sqrt{\dfrac{3}{2}}\)
2 \(\sqrt{\dfrac{2}{5}}\)
3 \(\sqrt{\dfrac{2}{3}}\)
4 \(\sqrt{\dfrac{5}{2}}\)
PHXII07:ALTERNATING CURRENT

356152 A inductor 20 \(mH\), a capacitor \(100\mu F\) and a resistor \(5\Omega \) are connected in series across a source of emf, \(V = 10\,\sin \,314t\). The power loss in the circuit is

1 \(2.74\,W\)
2 \(1.13\,W\)
3 \(0.\,43\,W\)
4 \(0.\,79\,W\)
PHXII07:ALTERNATING CURRENT

356149 An \(AC\) voltage \(V=20 \sin 200 \pi t\) is applied to a series \(LCR\) circuit which drives a current \(I=10 \sin \left(200 \pi t+\dfrac{\pi}{3}\right)\). The average power dissipated is

1 \(50\,W\)
2 \(200\,W\)
3 \(173.2\,W\)
4 \(21.6\,{W^ - }\)
PHXII07:ALTERNATING CURRENT

356150 Calculate the value of inductance which should be connected in series with a capacitance of \(5\,\mu F\) and a resistance of \(10\,\Omega \) and an \(a.c\) source of \(50\;Hz\), so that the power factor of the circuit is unity.

1 \(2.028\,H\)
2 \(2.029\,H\)
3 \(2.026{\mkern 1mu} H\)
4 \(2.01\,H\)
PHXII07:ALTERNATING CURRENT

356151 A series \(LR\) circuit is connected to an ac source of frequency \(\omega\) and the inductive reactance is equal to \(2R\). A capacitance of capacitive reactance equal to \(R\) is added in series with \(L\) and \(R\). The ratio of the new power factor to the old one is :

1 \(\sqrt{\dfrac{3}{2}}\)
2 \(\sqrt{\dfrac{2}{5}}\)
3 \(\sqrt{\dfrac{2}{3}}\)
4 \(\sqrt{\dfrac{5}{2}}\)
PHXII07:ALTERNATING CURRENT

356152 A inductor 20 \(mH\), a capacitor \(100\mu F\) and a resistor \(5\Omega \) are connected in series across a source of emf, \(V = 10\,\sin \,314t\). The power loss in the circuit is

1 \(2.74\,W\)
2 \(1.13\,W\)
3 \(0.\,43\,W\)
4 \(0.\,79\,W\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII07:ALTERNATING CURRENT

356149 An \(AC\) voltage \(V=20 \sin 200 \pi t\) is applied to a series \(LCR\) circuit which drives a current \(I=10 \sin \left(200 \pi t+\dfrac{\pi}{3}\right)\). The average power dissipated is

1 \(50\,W\)
2 \(200\,W\)
3 \(173.2\,W\)
4 \(21.6\,{W^ - }\)
PHXII07:ALTERNATING CURRENT

356150 Calculate the value of inductance which should be connected in series with a capacitance of \(5\,\mu F\) and a resistance of \(10\,\Omega \) and an \(a.c\) source of \(50\;Hz\), so that the power factor of the circuit is unity.

1 \(2.028\,H\)
2 \(2.029\,H\)
3 \(2.026{\mkern 1mu} H\)
4 \(2.01\,H\)
PHXII07:ALTERNATING CURRENT

356151 A series \(LR\) circuit is connected to an ac source of frequency \(\omega\) and the inductive reactance is equal to \(2R\). A capacitance of capacitive reactance equal to \(R\) is added in series with \(L\) and \(R\). The ratio of the new power factor to the old one is :

1 \(\sqrt{\dfrac{3}{2}}\)
2 \(\sqrt{\dfrac{2}{5}}\)
3 \(\sqrt{\dfrac{2}{3}}\)
4 \(\sqrt{\dfrac{5}{2}}\)
PHXII07:ALTERNATING CURRENT

356152 A inductor 20 \(mH\), a capacitor \(100\mu F\) and a resistor \(5\Omega \) are connected in series across a source of emf, \(V = 10\,\sin \,314t\). The power loss in the circuit is

1 \(2.74\,W\)
2 \(1.13\,W\)
3 \(0.\,43\,W\)
4 \(0.\,79\,W\)