A `2 mu F` capacitor, 100 ohm resistor and 8 H inductor are connected in series with an a.c. source. What should be the frequency of soure for which the current drawn in the circuit is maximum? If peak value of emf of the source is 200 V, find the maximum current, inductive reactance, capactive reactance, total impedance, peak value of current in the circuit. What is the phase relation between voltages across inductor and resistor ? Also, give the phase relation between voltages acorss inductor and capacitor.

Explanation

To solve the problem step by step, we will follow these steps:

### Step 1: Determine the Resonant Frequency
For maximum current in an RLC series circuit, resonance must occur, which happens when the inductive reactance (XL) equals the capacitive reactance (XC).

The formulas for inductive and capacitive reactance are:
- \( X_L = 2\pi f L \)
- \( X_C = \frac{1}{2\pi f C} \)
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