What is the effective value (RMS value) of current $\hat{i}=10\sin 100\pi t+10\cos \left(100\pi t+30°\right)$, where $i$ is in ampere?

Assuming source to be ideal the phase difference between currents $I_1$ and $I_2$ is

In the circuit shown, the value of resistance $R$ if the total voltage is in phase with the total current is nearly

The variation of voltage $\left(V\right)$ with time $\left(t\right)$ is shown in the graph. The rms value of voltage is

The average power dissipated in the given circuit is

The current / flowing in the $\mathrm{AC}$ source shown in the circuit in ampere is

In the circuit shown, the value of capacitive reactance $X_C$ if net current $\left(l\right)$ is in phase with the applied voltage $\left(V\right)$ is nearly

In the given $\mathrm{AC}$ circuit, capacitance $C$ is adjustable. For what value of $C$, the current amplitude is maximised?