An alternating emf of $110 \mathrm{V}$ is applied to a circuit containing a resistance of $40 \mathrm{\Omega }$ and an inductance $\mathrm{L}$ in series. The current lags behind the emf by an angle ${\tan }^{-1} (3/4)$. Find the inductive reactance, impedance of the circuit and current in the circuit. If $\mathrm{L}=0.1 \mathrm{H}$, find the frequency of applied emf.

For the given circuit, find (i) the reactance,

For the given circuit, find 
(ii) the impedance,

For the given circuit, find 
(iii) the peak value of current

For the given circuit, find 
(iv) the phase difference between voltage and current, $\left({\tan }^{-1} 1.33=53°\right)$

In the given AC circuit, find out the potential difference across the (i) resistor.