The r.m.s. value of the potential difference V shown in the figure is:

1. ${\mathrm{V}}_0/\sqrt{3}$

2. ${\mathrm{V}}_0$

3. ${\mathrm{V}}_0/\sqrt{2}$

4. ${\mathrm{V}}_0/2$

A coil has a resistance of \(30~ \mathrm{ohm}\) and inductive reactance of \(20 ~\mathrm{ohm}\) at a \(50~\mathrm{ Hz}\) frequency. If an \(\mathrm{ac}\) source of \(200 ~\mathrm{volts,}\) \(100~\mathrm{ Hz}\) is connected across the coil, the current in the coil will be:

The instantaneous values of alternating current and voltages in a circuit are given as,
\(i=\frac{1}{\sqrt{2}}\sin\left ( 100\pi t \right )~\text{Ampere}\)
\(e=\frac{1}{\sqrt{2}}\sin\left ( 100\pi t+\pi /3 \right )~\text{Volt}\)
What is the average power consumed by the circuit in watts?

The value of the quality factor is:
1. $\frac{\omega L}{R}$

2. $\frac{\omega }{RC}$

3. $\sqrt{LC}$

4. L/R

Turn ratio of a step-up transformer is \(1: 25\). If current in load coil is \(2~\text{A}\), then the current in primary coil will be:

A lamp is connected in series with a capacitor. AC and DC sources are connected to the circuit one by one, then mark the correct statement/s.

A series LCR circuit containing \(5.0~\text{H}\) inductor, \(80~\mu \text{F}\) capacitor and \(40~\Omega\)$\mathrm{}$ resistor is connected to \(230~\text{V}\) variable frequency AC source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:

When does the voltage in a series LCR circuit lead the current? (Given that ${\mathrm{\omega }}_0=$resonant angular frequency)

1. $\mathrm{\omega }<{\mathrm{\omega }}_0$

2. $\mathrm{\omega }={\mathrm{\omega }}_0$

3. $\mathrm{\omega }>{\mathrm{\omega }}_0$

4. None of these

In a series LC circuit, if $\mathrm{L}={10}^{-3}$ $\mathrm{H}$ and $\mathrm{C}=3\times {10}^{-7}$ $\mathrm{F}$ is connected to a 100 V-50 Hz a.c. source, the impedance of the circuit is:

1. $\frac{{10}^5}{3\mathrm{\pi }}-10\mathrm{\pi }$

2. $0.1\mathrm{\pi }-3\times {10}^{-5}\mathrm{\pi }$

3. $\frac{{10}^5}{3\mathrm{\pi }}-\frac{\mathrm{\pi }}{10}$

4. None of these

In a series LCR circuit, the phase difference between voltage across L and voltage across C is equal to: