Power in AC Circuits
PHXII07:ALTERNATING CURRENT

356170 Assertion :
No power loss is associated with pure capacitor in ac circuit.
Reason :
No current is flowing in this circuit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII07:ALTERNATING CURRENT

356171 The average power dissipation in a pure capacitance \(a.c\) circuit is:

1 \(\dfrac{C V^{2}}{2}\)
2 \(\mathrm{CV}^{2}\)
3 \(\dfrac{C V^{2}}{4}\)
4 Zero
PHXII07:ALTERNATING CURRENT

356172 In an \(LR\)- circuit, the inductive reactance is equal to to the resistance \(R\) of the circuit. An e.m.f. \(E = {E_0}\cos \left( {\omega t} \right)\) applied to the circuit. The power consumed in the circuit is

1 \(\frac{{E_0^2}}{{2R}}\)
2 \(\frac{{E_0^2}}{R}\)
3 \(\frac{{E_0^2}}{{8R}}\)
4 \(\frac{{E_0^2}}{{4R}}\)
PHXII07:ALTERNATING CURRENT

356173 A resistor and an inductor are connected to an ac supply of \(120V\) and \(50Hz\). The current in the circuit is \(3A\). If the power consumed in the circuit is \(108W\), then the resistance in the circuit is

1 \(360\Omega \)
2 \(40\Omega \)
3 \(12\Omega \)
4 \(\sqrt {(52 \times 28)} \Omega \)
PHXII07:ALTERNATING CURRENT

356174 In an ac circuit, the reactance of a coil is \({\sqrt{3}}\) times its resistance. The phase difference between the voltage and current through the coil is

1 \({\dfrac{\pi}{3}}\)
2 \({\dfrac{\pi}{2}}\)
3 \({\dfrac{\pi}{4}}\)
4 \({\dfrac{\pi}{6}}\)
PHXII07:ALTERNATING CURRENT

356170 Assertion :
No power loss is associated with pure capacitor in ac circuit.
Reason :
No current is flowing in this circuit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII07:ALTERNATING CURRENT

356171 The average power dissipation in a pure capacitance \(a.c\) circuit is:

1 \(\dfrac{C V^{2}}{2}\)
2 \(\mathrm{CV}^{2}\)
3 \(\dfrac{C V^{2}}{4}\)
4 Zero
PHXII07:ALTERNATING CURRENT

356172 In an \(LR\)- circuit, the inductive reactance is equal to to the resistance \(R\) of the circuit. An e.m.f. \(E = {E_0}\cos \left( {\omega t} \right)\) applied to the circuit. The power consumed in the circuit is

1 \(\frac{{E_0^2}}{{2R}}\)
2 \(\frac{{E_0^2}}{R}\)
3 \(\frac{{E_0^2}}{{8R}}\)
4 \(\frac{{E_0^2}}{{4R}}\)
PHXII07:ALTERNATING CURRENT

356173 A resistor and an inductor are connected to an ac supply of \(120V\) and \(50Hz\). The current in the circuit is \(3A\). If the power consumed in the circuit is \(108W\), then the resistance in the circuit is

1 \(360\Omega \)
2 \(40\Omega \)
3 \(12\Omega \)
4 \(\sqrt {(52 \times 28)} \Omega \)
PHXII07:ALTERNATING CURRENT

356174 In an ac circuit, the reactance of a coil is \({\sqrt{3}}\) times its resistance. The phase difference between the voltage and current through the coil is

1 \({\dfrac{\pi}{3}}\)
2 \({\dfrac{\pi}{2}}\)
3 \({\dfrac{\pi}{4}}\)
4 \({\dfrac{\pi}{6}}\)
PHXII07:ALTERNATING CURRENT

356170 Assertion :
No power loss is associated with pure capacitor in ac circuit.
Reason :
No current is flowing in this circuit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII07:ALTERNATING CURRENT

356171 The average power dissipation in a pure capacitance \(a.c\) circuit is:

1 \(\dfrac{C V^{2}}{2}\)
2 \(\mathrm{CV}^{2}\)
3 \(\dfrac{C V^{2}}{4}\)
4 Zero
PHXII07:ALTERNATING CURRENT

356172 In an \(LR\)- circuit, the inductive reactance is equal to to the resistance \(R\) of the circuit. An e.m.f. \(E = {E_0}\cos \left( {\omega t} \right)\) applied to the circuit. The power consumed in the circuit is

1 \(\frac{{E_0^2}}{{2R}}\)
2 \(\frac{{E_0^2}}{R}\)
3 \(\frac{{E_0^2}}{{8R}}\)
4 \(\frac{{E_0^2}}{{4R}}\)
PHXII07:ALTERNATING CURRENT

356173 A resistor and an inductor are connected to an ac supply of \(120V\) and \(50Hz\). The current in the circuit is \(3A\). If the power consumed in the circuit is \(108W\), then the resistance in the circuit is

1 \(360\Omega \)
2 \(40\Omega \)
3 \(12\Omega \)
4 \(\sqrt {(52 \times 28)} \Omega \)
PHXII07:ALTERNATING CURRENT

356174 In an ac circuit, the reactance of a coil is \({\sqrt{3}}\) times its resistance. The phase difference between the voltage and current through the coil is

1 \({\dfrac{\pi}{3}}\)
2 \({\dfrac{\pi}{2}}\)
3 \({\dfrac{\pi}{4}}\)
4 \({\dfrac{\pi}{6}}\)
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PHXII07:ALTERNATING CURRENT

356170 Assertion :
No power loss is associated with pure capacitor in ac circuit.
Reason :
No current is flowing in this circuit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII07:ALTERNATING CURRENT

356171 The average power dissipation in a pure capacitance \(a.c\) circuit is:

1 \(\dfrac{C V^{2}}{2}\)
2 \(\mathrm{CV}^{2}\)
3 \(\dfrac{C V^{2}}{4}\)
4 Zero
PHXII07:ALTERNATING CURRENT

356172 In an \(LR\)- circuit, the inductive reactance is equal to to the resistance \(R\) of the circuit. An e.m.f. \(E = {E_0}\cos \left( {\omega t} \right)\) applied to the circuit. The power consumed in the circuit is

1 \(\frac{{E_0^2}}{{2R}}\)
2 \(\frac{{E_0^2}}{R}\)
3 \(\frac{{E_0^2}}{{8R}}\)
4 \(\frac{{E_0^2}}{{4R}}\)
PHXII07:ALTERNATING CURRENT

356173 A resistor and an inductor are connected to an ac supply of \(120V\) and \(50Hz\). The current in the circuit is \(3A\). If the power consumed in the circuit is \(108W\), then the resistance in the circuit is

1 \(360\Omega \)
2 \(40\Omega \)
3 \(12\Omega \)
4 \(\sqrt {(52 \times 28)} \Omega \)
PHXII07:ALTERNATING CURRENT

356174 In an ac circuit, the reactance of a coil is \({\sqrt{3}}\) times its resistance. The phase difference between the voltage and current through the coil is

1 \({\dfrac{\pi}{3}}\)
2 \({\dfrac{\pi}{2}}\)
3 \({\dfrac{\pi}{4}}\)
4 \({\dfrac{\pi}{6}}\)
PHXII07:ALTERNATING CURRENT

356170 Assertion :
No power loss is associated with pure capacitor in ac circuit.
Reason :
No current is flowing in this circuit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII07:ALTERNATING CURRENT

356171 The average power dissipation in a pure capacitance \(a.c\) circuit is:

1 \(\dfrac{C V^{2}}{2}\)
2 \(\mathrm{CV}^{2}\)
3 \(\dfrac{C V^{2}}{4}\)
4 Zero
PHXII07:ALTERNATING CURRENT

356172 In an \(LR\)- circuit, the inductive reactance is equal to to the resistance \(R\) of the circuit. An e.m.f. \(E = {E_0}\cos \left( {\omega t} \right)\) applied to the circuit. The power consumed in the circuit is

1 \(\frac{{E_0^2}}{{2R}}\)
2 \(\frac{{E_0^2}}{R}\)
3 \(\frac{{E_0^2}}{{8R}}\)
4 \(\frac{{E_0^2}}{{4R}}\)
PHXII07:ALTERNATING CURRENT

356173 A resistor and an inductor are connected to an ac supply of \(120V\) and \(50Hz\). The current in the circuit is \(3A\). If the power consumed in the circuit is \(108W\), then the resistance in the circuit is

1 \(360\Omega \)
2 \(40\Omega \)
3 \(12\Omega \)
4 \(\sqrt {(52 \times 28)} \Omega \)
PHXII07:ALTERNATING CURRENT

356174 In an ac circuit, the reactance of a coil is \({\sqrt{3}}\) times its resistance. The phase difference between the voltage and current through the coil is

1 \({\dfrac{\pi}{3}}\)
2 \({\dfrac{\pi}{2}}\)
3 \({\dfrac{\pi}{4}}\)
4 \({\dfrac{\pi}{6}}\)