Power in AC Circuits
PHXII07:ALTERNATING CURRENT

356153 In a series \(LCR\) circuit, the voltage leads current. Now the driving frequency is decreased slightly. Match columns I and II.
Column I
Column II
A
Current amplitude
P
Increases
B
Phase constant
Q
Decreases
C
Power developed in resistor
R
Remains same
D
Impedance
S
May increase or decrease

1 A - P,Q, B - Q, C - R,S D - P
2 A - P, B - Q, C - P, D - Q
3 A - P, B - R, C - P, D - Q
4 A - Q, B - R, C - S, D - P
PHXII07:ALTERNATING CURRENT

356154 Assertion :
By only knowing the power factor for a given LCR circuit it is not possible to tell whether the applied alternating e.m.f. leads or lags the current.
Reason :
\(\cos \theta = \cos ( - \theta )\)

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

356155 As given in the figure, a series circuit connected across a 100\(V\), 60 \(Hz\) line consists of a capacitor of capacitive reactance \(30\Omega \), a resistor of \(44\Omega \) and a coil of inductive reactance \(90\Omega \) and resistance \(36\Omega \). The power dissipated in the coil is:
supporting img

1 \(80\,W\)
2 \(176\,W\)
3 \(144\,W\)
4 \(0\,W\)
PHXII07:ALTERNATING CURRENT

356156 An inductor 20 \(mH\), a capacitor \(50\mu F\) and a resistor \(40\Omega \) are connected in series across a source of emf \(V = 10\,\sin \,340t\). The power loss in \(A.C.\) circuit is

1 \(0.51\,W\)
2 \(0.67\,W\)
3 \(0.76\,W\)
4 \(0.89\,W\)
PHXII07:ALTERNATING CURRENT

356157 An inductor \(20\,mH\), a capacitor \(100\,\mu F\) and a resistor \(50\,\Omega \) are connected in series across a source of \(emf\,V = 10\sin 314\,t\). The power loss in the circuit is

1 \(2.74\;W\)
2 \(0.43\;W\)
3 \(0.79\;W\)
4 \(1.13\;W\)
PHXII07:ALTERNATING CURRENT

356153 In a series \(LCR\) circuit, the voltage leads current. Now the driving frequency is decreased slightly. Match columns I and II.
Column I
Column II
A
Current amplitude
P
Increases
B
Phase constant
Q
Decreases
C
Power developed in resistor
R
Remains same
D
Impedance
S
May increase or decrease

1 A - P,Q, B - Q, C - R,S D - P
2 A - P, B - Q, C - P, D - Q
3 A - P, B - R, C - P, D - Q
4 A - Q, B - R, C - S, D - P
PHXII07:ALTERNATING CURRENT

356154 Assertion :
By only knowing the power factor for a given LCR circuit it is not possible to tell whether the applied alternating e.m.f. leads or lags the current.
Reason :
\(\cos \theta = \cos ( - \theta )\)

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

356155 As given in the figure, a series circuit connected across a 100\(V\), 60 \(Hz\) line consists of a capacitor of capacitive reactance \(30\Omega \), a resistor of \(44\Omega \) and a coil of inductive reactance \(90\Omega \) and resistance \(36\Omega \). The power dissipated in the coil is:
supporting img

1 \(80\,W\)
2 \(176\,W\)
3 \(144\,W\)
4 \(0\,W\)
PHXII07:ALTERNATING CURRENT

356156 An inductor 20 \(mH\), a capacitor \(50\mu F\) and a resistor \(40\Omega \) are connected in series across a source of emf \(V = 10\,\sin \,340t\). The power loss in \(A.C.\) circuit is

1 \(0.51\,W\)
2 \(0.67\,W\)
3 \(0.76\,W\)
4 \(0.89\,W\)
PHXII07:ALTERNATING CURRENT

356157 An inductor \(20\,mH\), a capacitor \(100\,\mu F\) and a resistor \(50\,\Omega \) are connected in series across a source of \(emf\,V = 10\sin 314\,t\). The power loss in the circuit is

1 \(2.74\;W\)
2 \(0.43\;W\)
3 \(0.79\;W\)
4 \(1.13\;W\)
PHXII07:ALTERNATING CURRENT

356153 In a series \(LCR\) circuit, the voltage leads current. Now the driving frequency is decreased slightly. Match columns I and II.
Column I
Column II
A
Current amplitude
P
Increases
B
Phase constant
Q
Decreases
C
Power developed in resistor
R
Remains same
D
Impedance
S
May increase or decrease

1 A - P,Q, B - Q, C - R,S D - P
2 A - P, B - Q, C - P, D - Q
3 A - P, B - R, C - P, D - Q
4 A - Q, B - R, C - S, D - P
PHXII07:ALTERNATING CURRENT

356154 Assertion :
By only knowing the power factor for a given LCR circuit it is not possible to tell whether the applied alternating e.m.f. leads or lags the current.
Reason :
\(\cos \theta = \cos ( - \theta )\)

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

356155 As given in the figure, a series circuit connected across a 100\(V\), 60 \(Hz\) line consists of a capacitor of capacitive reactance \(30\Omega \), a resistor of \(44\Omega \) and a coil of inductive reactance \(90\Omega \) and resistance \(36\Omega \). The power dissipated in the coil is:
supporting img

1 \(80\,W\)
2 \(176\,W\)
3 \(144\,W\)
4 \(0\,W\)
PHXII07:ALTERNATING CURRENT

356156 An inductor 20 \(mH\), a capacitor \(50\mu F\) and a resistor \(40\Omega \) are connected in series across a source of emf \(V = 10\,\sin \,340t\). The power loss in \(A.C.\) circuit is

1 \(0.51\,W\)
2 \(0.67\,W\)
3 \(0.76\,W\)
4 \(0.89\,W\)
PHXII07:ALTERNATING CURRENT

356157 An inductor \(20\,mH\), a capacitor \(100\,\mu F\) and a resistor \(50\,\Omega \) are connected in series across a source of \(emf\,V = 10\sin 314\,t\). The power loss in the circuit is

1 \(2.74\;W\)
2 \(0.43\;W\)
3 \(0.79\;W\)
4 \(1.13\;W\)
PHXII07:ALTERNATING CURRENT

356153 In a series \(LCR\) circuit, the voltage leads current. Now the driving frequency is decreased slightly. Match columns I and II.
Column I
Column II
A
Current amplitude
P
Increases
B
Phase constant
Q
Decreases
C
Power developed in resistor
R
Remains same
D
Impedance
S
May increase or decrease

1 A - P,Q, B - Q, C - R,S D - P
2 A - P, B - Q, C - P, D - Q
3 A - P, B - R, C - P, D - Q
4 A - Q, B - R, C - S, D - P
PHXII07:ALTERNATING CURRENT

356154 Assertion :
By only knowing the power factor for a given LCR circuit it is not possible to tell whether the applied alternating e.m.f. leads or lags the current.
Reason :
\(\cos \theta = \cos ( - \theta )\)

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

356155 As given in the figure, a series circuit connected across a 100\(V\), 60 \(Hz\) line consists of a capacitor of capacitive reactance \(30\Omega \), a resistor of \(44\Omega \) and a coil of inductive reactance \(90\Omega \) and resistance \(36\Omega \). The power dissipated in the coil is:
supporting img

1 \(80\,W\)
2 \(176\,W\)
3 \(144\,W\)
4 \(0\,W\)
PHXII07:ALTERNATING CURRENT

356156 An inductor 20 \(mH\), a capacitor \(50\mu F\) and a resistor \(40\Omega \) are connected in series across a source of emf \(V = 10\,\sin \,340t\). The power loss in \(A.C.\) circuit is

1 \(0.51\,W\)
2 \(0.67\,W\)
3 \(0.76\,W\)
4 \(0.89\,W\)
PHXII07:ALTERNATING CURRENT

356157 An inductor \(20\,mH\), a capacitor \(100\,\mu F\) and a resistor \(50\,\Omega \) are connected in series across a source of \(emf\,V = 10\sin 314\,t\). The power loss in the circuit is

1 \(2.74\;W\)
2 \(0.43\;W\)
3 \(0.79\;W\)
4 \(1.13\;W\)
PHXII07:ALTERNATING CURRENT

356153 In a series \(LCR\) circuit, the voltage leads current. Now the driving frequency is decreased slightly. Match columns I and II.
Column I
Column II
A
Current amplitude
P
Increases
B
Phase constant
Q
Decreases
C
Power developed in resistor
R
Remains same
D
Impedance
S
May increase or decrease

1 A - P,Q, B - Q, C - R,S D - P
2 A - P, B - Q, C - P, D - Q
3 A - P, B - R, C - P, D - Q
4 A - Q, B - R, C - S, D - P
PHXII07:ALTERNATING CURRENT

356154 Assertion :
By only knowing the power factor for a given LCR circuit it is not possible to tell whether the applied alternating e.m.f. leads or lags the current.
Reason :
\(\cos \theta = \cos ( - \theta )\)

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

356155 As given in the figure, a series circuit connected across a 100\(V\), 60 \(Hz\) line consists of a capacitor of capacitive reactance \(30\Omega \), a resistor of \(44\Omega \) and a coil of inductive reactance \(90\Omega \) and resistance \(36\Omega \). The power dissipated in the coil is:
supporting img

1 \(80\,W\)
2 \(176\,W\)
3 \(144\,W\)
4 \(0\,W\)
PHXII07:ALTERNATING CURRENT

356156 An inductor 20 \(mH\), a capacitor \(50\mu F\) and a resistor \(40\Omega \) are connected in series across a source of emf \(V = 10\,\sin \,340t\). The power loss in \(A.C.\) circuit is

1 \(0.51\,W\)
2 \(0.67\,W\)
3 \(0.76\,W\)
4 \(0.89\,W\)
PHXII07:ALTERNATING CURRENT

356157 An inductor \(20\,mH\), a capacitor \(100\,\mu F\) and a resistor \(50\,\Omega \) are connected in series across a source of \(emf\,V = 10\sin 314\,t\). The power loss in the circuit is

1 \(2.74\;W\)
2 \(0.43\;W\)
3 \(0.79\;W\)
4 \(1.13\;W\)