A transformer has 500 primary turns and 10 secondary turns. If $V_p$ is $120 \mathrm{V} \left(\mathrm{rms}\right)$ and a resistive load of $15\Omega$ is connected across the secondary, the currents in the primary and secondary coil of transformer are

If the emf of the $AC$ source in the figure is $\epsilon =10\sqrt{2}\sin 100\pi t$, where $\epsilon$ is in volt and $t$ is in second, then the expression for the current (in ampere) in the circuit is

If the reading of voltmeters $V_1$ and $V_2$ each is $25 \mathrm{V}$ then the reading of voltmeter $V_3$ will be

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