An inductor of inductance `100 mH` is connected in series with a resistance, a variable capacitance and an `AC` source of frequency `2.0 kHz`. What should be the value of the capacitance so that maximum current may be drawn into the circuit?

Explanation

To solve the problem, we need to find the value of capacitance \( C \) in an LCR circuit that will allow maximum current to flow. The condition for maximum current in an LCR circuit is that the inductive reactance \( X_L \) must equal the capacitive reactance \( X_C \).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Inductance \( L = 100 \, \text{mH} = 100 \times 10^{-3} \, \text{H} \)
- Frequency \( f = 2.0 \, \text{kHz} = 2.0 \times 10^{3} \, \text{Hz} \)

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