For a LCR series circuit with an A.C. source of angular frequency $\mathrm{\omega :}$

1.	circuit will be capacitive if \(\omega>\frac{1}{\sqrt{LC}} \)
2.	circuit will be inductive if \(\omega=\frac{1}{\sqrt{LC}} \)
3.	power factor of circuit will be unity if capacitive reactance equals inductive reactance
4.	current will be leading voltage if \(\omega>\frac{1}{\sqrt{LC}} \)

An inductor of \(20~\text{mH}\), a capacitor of \(100~\mu \text{F}\), and a resistor of \(50~\Omega\) are connected in series across a source of emf, \(V=10 \sin (314 t)\). What is the power loss in this circuit?
1. \( 0.79 ~\text{W} \)
2. \( 0.43 ~\text{W} \)
3. \( 2.74 ~\text{W} \)
4. \( 1.13 ~\text{W}\)

An \(AC\) voltage is applied to a resistance \(R\) and an inductor \(L\) in series. If \(R\) and the inductive reactance are both equal to \(3~ \Omega, \) then the phase difference between the applied voltage and the current in the circuit will be:

A 50 Hz a.c. source of 20 volts is connected across R and C as shown in the figure below. If the voltage across R is 12 volts, then the voltage across C will be:
   

What is the value of inductance L for which the current is a maximum in a series LCR circuit with C=10 μF and $\mathrm{\omega }$ = 1000 s^-1?

A coil of self-inductance L is connected in series with a bulb B and an AC source. The brightness of the bulb decreases when:

The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. What is the power factor of this circuit?

1. 0.4             

2. 0.5

3. 0.8             

4. 1.0

In an ac circuit \(I=100~sin~200~ \pi t.\) The time required for the current to reach its peak value will be:

Which of the following plots may represent the reactance of a series of LC combinations?

1. a

2. b

3. c

4. d

In the diagram, two sinusoidal voltages of the same frequency are shown. What is the frequency and the phase relationship between the voltages?