Power in AC Circuits
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PHXII07:ALTERNATING CURRENT

356140 Power factor varies between:

1 0 to 1
2 1 to 2
3 1 to 1.5
4 2 to 2.5
PHXII07:ALTERNATING CURRENT

356141 Read the Statement - A and Statement - B carefully to mark the correct options given below:
Statement A :
Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an \(A C\) source, when resonance occurs.
Statement B :
Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

1 Statement A is correct but Statement B is incorrect.
2 Both Statement A and Statement B are incorrect.
3 Both Statement A and Statement B are correct.
4 Statement A is incorrect but Statement B is correct.
JEE - 2023
PHXII07:ALTERNATING CURRENT

356142 In series LR circuit, \({X_{L}=3 R}\). Now, a capacitor with \({X_{C}=R}\) is added in series, the ratio of new to old power factor is

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

356143 Power dissipated in an \(L-C-R\) series circuit connected to an \(AC\) source of emf \(\varepsilon \) is

1 \(\frac{{{\varepsilon ^2}R}}{{\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}\)
2 \(\frac{{{\varepsilon ^2}\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}{R}\)
3 \(\frac{{{\varepsilon ^2}R}}{{\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}\)
4 \(\frac{{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}{R}\)
PHXII07:ALTERNATING CURRENT

356144 A series \(LCR\) circuit is connected across an ac source \(E = 10\sin \left[ {100\pi t + \frac{\pi }{6}} \right]\).Current from the supply is \(I = 2\sin \left[ {100\pi t + \frac{\pi }{{12}}} \right]\).What is the average power dissipated? (in watt)

1 \(5\)
2 \(8\)
3 \(\frac{{20}}{{\sqrt 2 }}\)
4 \(5\sqrt 2 \)
NEET DIGITAL LIBRARY
PHXII07:ALTERNATING CURRENT

356140 Power factor varies between:

1 0 to 1
2 1 to 2
3 1 to 1.5
4 2 to 2.5
PHXII07:ALTERNATING CURRENT

356141 Read the Statement - A and Statement - B carefully to mark the correct options given below:
Statement A :
Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an \(A C\) source, when resonance occurs.
Statement B :
Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

1 Statement A is correct but Statement B is incorrect.
2 Both Statement A and Statement B are incorrect.
3 Both Statement A and Statement B are correct.
4 Statement A is incorrect but Statement B is correct.
JEE - 2023
PHXII07:ALTERNATING CURRENT

356142 In series LR circuit, \({X_{L}=3 R}\). Now, a capacitor with \({X_{C}=R}\) is added in series, the ratio of new to old power factor is

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

356143 Power dissipated in an \(L-C-R\) series circuit connected to an \(AC\) source of emf \(\varepsilon \) is

1 \(\frac{{{\varepsilon ^2}R}}{{\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}\)
2 \(\frac{{{\varepsilon ^2}\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}{R}\)
3 \(\frac{{{\varepsilon ^2}R}}{{\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}\)
4 \(\frac{{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}{R}\)
PHXII07:ALTERNATING CURRENT

356144 A series \(LCR\) circuit is connected across an ac source \(E = 10\sin \left[ {100\pi t + \frac{\pi }{6}} \right]\).Current from the supply is \(I = 2\sin \left[ {100\pi t + \frac{\pi }{{12}}} \right]\).What is the average power dissipated? (in watt)

1 \(5\)
2 \(8\)
3 \(\frac{{20}}{{\sqrt 2 }}\)
4 \(5\sqrt 2 \)
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PHXII07:ALTERNATING CURRENT

356140 Power factor varies between:

1 0 to 1
2 1 to 2
3 1 to 1.5
4 2 to 2.5
PHXII07:ALTERNATING CURRENT

356141 Read the Statement - A and Statement - B carefully to mark the correct options given below:
Statement A :
Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an \(A C\) source, when resonance occurs.
Statement B :
Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

1 Statement A is correct but Statement B is incorrect.
2 Both Statement A and Statement B are incorrect.
3 Both Statement A and Statement B are correct.
4 Statement A is incorrect but Statement B is correct.
JEE - 2023
PHXII07:ALTERNATING CURRENT

356142 In series LR circuit, \({X_{L}=3 R}\). Now, a capacitor with \({X_{C}=R}\) is added in series, the ratio of new to old power factor is

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

356143 Power dissipated in an \(L-C-R\) series circuit connected to an \(AC\) source of emf \(\varepsilon \) is

1 \(\frac{{{\varepsilon ^2}R}}{{\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}\)
2 \(\frac{{{\varepsilon ^2}\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}{R}\)
3 \(\frac{{{\varepsilon ^2}R}}{{\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}\)
4 \(\frac{{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}{R}\)
PHXII07:ALTERNATING CURRENT

356144 A series \(LCR\) circuit is connected across an ac source \(E = 10\sin \left[ {100\pi t + \frac{\pi }{6}} \right]\).Current from the supply is \(I = 2\sin \left[ {100\pi t + \frac{\pi }{{12}}} \right]\).What is the average power dissipated? (in watt)

1 \(5\)
2 \(8\)
3 \(\frac{{20}}{{\sqrt 2 }}\)
4 \(5\sqrt 2 \)
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII07:ALTERNATING CURRENT

356140 Power factor varies between:

1 0 to 1
2 1 to 2
3 1 to 1.5
4 2 to 2.5
PHXII07:ALTERNATING CURRENT

356141 Read the Statement - A and Statement - B carefully to mark the correct options given below:
Statement A :
Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an \(A C\) source, when resonance occurs.
Statement B :
Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

1 Statement A is correct but Statement B is incorrect.
2 Both Statement A and Statement B are incorrect.
3 Both Statement A and Statement B are correct.
4 Statement A is incorrect but Statement B is correct.
JEE - 2023
PHXII07:ALTERNATING CURRENT

356142 In series LR circuit, \({X_{L}=3 R}\). Now, a capacitor with \({X_{C}=R}\) is added in series, the ratio of new to old power factor is

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

356143 Power dissipated in an \(L-C-R\) series circuit connected to an \(AC\) source of emf \(\varepsilon \) is

1 \(\frac{{{\varepsilon ^2}R}}{{\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}\)
2 \(\frac{{{\varepsilon ^2}\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}{R}\)
3 \(\frac{{{\varepsilon ^2}R}}{{\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}\)
4 \(\frac{{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}{R}\)
PHXII07:ALTERNATING CURRENT

356144 A series \(LCR\) circuit is connected across an ac source \(E = 10\sin \left[ {100\pi t + \frac{\pi }{6}} \right]\).Current from the supply is \(I = 2\sin \left[ {100\pi t + \frac{\pi }{{12}}} \right]\).What is the average power dissipated? (in watt)

1 \(5\)
2 \(8\)
3 \(\frac{{20}}{{\sqrt 2 }}\)
4 \(5\sqrt 2 \)
NEET DIGITAL LIBRARY
PHXII07:ALTERNATING CURRENT

356140 Power factor varies between:

1 0 to 1
2 1 to 2
3 1 to 1.5
4 2 to 2.5
PHXII07:ALTERNATING CURRENT

356141 Read the Statement - A and Statement - B carefully to mark the correct options given below:
Statement A :
Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an \(A C\) source, when resonance occurs.
Statement B :
Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

1 Statement A is correct but Statement B is incorrect.
2 Both Statement A and Statement B are incorrect.
3 Both Statement A and Statement B are correct.
4 Statement A is incorrect but Statement B is correct.
JEE - 2023
PHXII07:ALTERNATING CURRENT

356142 In series LR circuit, \({X_{L}=3 R}\). Now, a capacitor with \({X_{C}=R}\) is added in series, the ratio of new to old power factor is

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

356143 Power dissipated in an \(L-C-R\) series circuit connected to an \(AC\) source of emf \(\varepsilon \) is

1 \(\frac{{{\varepsilon ^2}R}}{{\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}\)
2 \(\frac{{{\varepsilon ^2}\left[ {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} \right]}}{R}\)
3 \(\frac{{{\varepsilon ^2}R}}{{\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}\)
4 \(\frac{{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - \frac{1}{{C\omega }}} \right)}^2}} }}{R}\)
PHXII07:ALTERNATING CURRENT

356144 A series \(LCR\) circuit is connected across an ac source \(E = 10\sin \left[ {100\pi t + \frac{\pi }{6}} \right]\).Current from the supply is \(I = 2\sin \left[ {100\pi t + \frac{\pi }{{12}}} \right]\).What is the average power dissipated? (in watt)

1 \(5\)
2 \(8\)
3 \(\frac{{20}}{{\sqrt 2 }}\)
4 \(5\sqrt 2 \)