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:

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

2. $\frac{\omega }{RC}$

3. $\sqrt{LC}$

4. L/R

For a series $\mathrm{LCR}$ circuit, the power loss at resonance is:
1. $\frac{V^2}{\left[\omega L-\frac{1}{\omega C}\right]}$

2. $\mathrm{I}^2 \mathrm{~L} \omega$

3. $I^2 R$

4. $\frac{\mathrm{V}^2}{\mathrm{C} \omega}$

A coil of $40$ H inductance is connected in series with a resistance of $8~\Omega$ and the combination is joined to the terminals of a $2~\text{V}$ battery. The time constant of the circuit is:
1. $1/5~\text{s}$
2. $40~\text{s}$
3. $20~\text{s}$
4. $5~\text{s}$

In a circuit $L$, $C$, and $R$ are connected in series with an alternating voltage source of frequency $f$. The current leads the voltage by $45^\circ$. The value of $C$ is:
1. $\frac{1}{2 \pi f(2 \pi f L-R)}$
2. $\frac{1}{2\pi f(2 \pi f L+R)}$
3. $\frac{1}{ \pi f(2 \pi f L-R)}$
4. $\frac{1}{\pi f(2 \pi f L+R)}$