02. A.C. Circuit (L-C-R, LC Circuit)
Alternating Current

155121 For $L C R$ ac series circuits, $L=25 \mathrm{mH}, R=3 \Omega$, $C=62.5 \mu \mathrm{F}$. What is the frequency of the sources at which resonance occurs?

1 $127.39 \mathrm{~Hz}$
2 $35.40 \mathrm{~Hz}$
3 $100 \mathrm{~Hz}$
4 $21 \mathrm{~Hz}$
Alternating Current

155122 For a series $L C R$ circuit with $L=2 H, C=18 \mu F$ and $R=10 \Omega$. What is the value $Q$-factor of this circuit?

1 22.22
2 55.55
3 44.44
4 33.33
Alternating Current

155124 In a electrical circuit, $R, L, C$ and an $A C$ voltage source are all connected in series. When $L$ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\pi / 3$. If instead, $C$ is removed from the circuit, the phase difference is again $\pi / 3$. The power factor of the circuit is

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

155125 In an LCR circuit, inductive reactance and capacitive reactance was found to be equal. The resistance was found to be $20 \Omega$. The probable impedance of the combination is ........... .

1 Zero
2 $20 \Omega$
3 $40 \sqrt{2} \Omega$
4 $400 \Omega$
Alternating Current

155121 For $L C R$ ac series circuits, $L=25 \mathrm{mH}, R=3 \Omega$, $C=62.5 \mu \mathrm{F}$. What is the frequency of the sources at which resonance occurs?

1 $127.39 \mathrm{~Hz}$
2 $35.40 \mathrm{~Hz}$
3 $100 \mathrm{~Hz}$
4 $21 \mathrm{~Hz}$
Alternating Current

155122 For a series $L C R$ circuit with $L=2 H, C=18 \mu F$ and $R=10 \Omega$. What is the value $Q$-factor of this circuit?

1 22.22
2 55.55
3 44.44
4 33.33
Alternating Current

155124 In a electrical circuit, $R, L, C$ and an $A C$ voltage source are all connected in series. When $L$ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\pi / 3$. If instead, $C$ is removed from the circuit, the phase difference is again $\pi / 3$. The power factor of the circuit is

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

155125 In an LCR circuit, inductive reactance and capacitive reactance was found to be equal. The resistance was found to be $20 \Omega$. The probable impedance of the combination is ........... .

1 Zero
2 $20 \Omega$
3 $40 \sqrt{2} \Omega$
4 $400 \Omega$
Alternating Current

155121 For $L C R$ ac series circuits, $L=25 \mathrm{mH}, R=3 \Omega$, $C=62.5 \mu \mathrm{F}$. What is the frequency of the sources at which resonance occurs?

1 $127.39 \mathrm{~Hz}$
2 $35.40 \mathrm{~Hz}$
3 $100 \mathrm{~Hz}$
4 $21 \mathrm{~Hz}$
Alternating Current

155122 For a series $L C R$ circuit with $L=2 H, C=18 \mu F$ and $R=10 \Omega$. What is the value $Q$-factor of this circuit?

1 22.22
2 55.55
3 44.44
4 33.33
Alternating Current

155124 In a electrical circuit, $R, L, C$ and an $A C$ voltage source are all connected in series. When $L$ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\pi / 3$. If instead, $C$ is removed from the circuit, the phase difference is again $\pi / 3$. The power factor of the circuit is

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

155125 In an LCR circuit, inductive reactance and capacitive reactance was found to be equal. The resistance was found to be $20 \Omega$. The probable impedance of the combination is ........... .

1 Zero
2 $20 \Omega$
3 $40 \sqrt{2} \Omega$
4 $400 \Omega$
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Alternating Current

155121 For $L C R$ ac series circuits, $L=25 \mathrm{mH}, R=3 \Omega$, $C=62.5 \mu \mathrm{F}$. What is the frequency of the sources at which resonance occurs?

1 $127.39 \mathrm{~Hz}$
2 $35.40 \mathrm{~Hz}$
3 $100 \mathrm{~Hz}$
4 $21 \mathrm{~Hz}$
Alternating Current

155122 For a series $L C R$ circuit with $L=2 H, C=18 \mu F$ and $R=10 \Omega$. What is the value $Q$-factor of this circuit?

1 22.22
2 55.55
3 44.44
4 33.33
Alternating Current

155124 In a electrical circuit, $R, L, C$ and an $A C$ voltage source are all connected in series. When $L$ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\pi / 3$. If instead, $C$ is removed from the circuit, the phase difference is again $\pi / 3$. The power factor of the circuit is

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

155125 In an LCR circuit, inductive reactance and capacitive reactance was found to be equal. The resistance was found to be $20 \Omega$. The probable impedance of the combination is ........... .

1 Zero
2 $20 \Omega$
3 $40 \sqrt{2} \Omega$
4 $400 \Omega$