For a \(LCR\) series circuit with an AC source of angular frequency \(\omega\):

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 AC 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:
           

The potential differences across the resistance, capacitance and inductance are \(80\) V, \(40\) V and \(100\) V respectively in an \(LCR\) circuit. What is the power factor of this circuit?
1. \(0.4\)
2. \(0.5\)
3. \(0.8\)
4. \(1.0\)

        
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?