In the circuit shown in Fig. (i) find the phase difference between the currents through L and `R_(1)`
(ii) find the phase difference between potential differece across C and `R_(2)`

Explanation

(i) In Fig. as L and `R_(1)` are in parallel the potential difference acorss them are equal and in phase with eachother.
Further, in resistance `R_(1)`, current and petentail difference are in phase with eachother, while in inductance, current lags behind the potential difference by a phase angle `pi//2`
Hence, current through inductance L lags behind the current through `R_(1)` by a phase `pi//2` (ii) As C and `R_(2)` are in series, same current passes through them and is same phase, In `R_(2)`, current and potential difference are in phase with eachother. While n a capacitor potential difference lags behind the current by a phase angle `pi//2`.
Hence, potential difference across the capacitor C lags behind the current in `R_(2)` by a phase anlge `pi//2`.