An alternating voltage of frequency `f` is applied across a series `LCR` circuit.Le `f_(r)` be the resonance frequency for the circuit.Will the current in the circuit lag, lead or remain in phase with the applied voltage when (i)`f gt f_(r)`,(ii)`f lt f_(r)` ? Explain your answer in each case.

Explanation

To solve the problem, we need to analyze the behavior of the current in a series LCR circuit when an alternating voltage of frequency \( f \) is applied, comparing it to the resonance frequency \( f_r \).

### Step-by-Step Solution:

1. **Understanding Impedance in LCR Circuit:**
- In a series LCR circuit, the total impedance \( Z \) is given by:
\[
Z = R + j(X_L - X_C)
...