If the RMS current in a $50~\text{Hz}$ AC circuit is $5~\text{A}$, the value of the current $\dfrac{1}{300}~\text{s}$ after its value becomes zero is:

An alternating current generator has an internal resistance $R_{g}$ and an internal reactance $X_{g}$. It is used to supply power to a passive load consisting of a resistance $R_{g}$ and a reactance $X_{L}$. For maximum power to be delivered from the generator to the load, the value of $X_{L}$ is equal to:
1. zero
2. $X_g$
3. $-X_g$
4. $R_g$

Which of the following combinations should be selected for better tuning of an LCR circuit used for communication?
1. $R = 20~\Omega,~L= 1.5~\text{H}, ~C = 35~\mu \text{F}$
2. $R = 25~\Omega,~L= 2.5~\text{H}, ~C = 45~\mu \text{F}$
3. $R = 15~\Omega,~L= 3.5~\text{H}, ~C = 30~\mu \text{F}$
4. $R = 25~\Omega,~L= 1.5~\text{H}, ~C = 45~\mu \text{F}$

An inductor of reactance $1~\Omega$ and a resistor of $2~\Omega$ are connected in series to the terminals of a $6~\text{V}$ (RMS) AC source. The power dissipated in the circuit is:
1. $8~\text{W}$
2. $12~\text{W}$
3. $14.4~\text{W}$
4. $18~\text{W}$

The output of a step-down transformer is measured to be $24$ V when connected to a $12$ W light bulb. The value of the peak current is:

Choose the correct options: