A coil of resistance `5Omega` and self-inductance 4H is connected in series with a variable capacitor across a 10 `V_("rms"), 50` Hz supply. At what capactiance will resonance occur? Find the corresponding current.

Explanation

To solve the problem, we need to find the capacitance at which resonance occurs in a series RLC circuit and then calculate the corresponding current.

### Step 1: Understand the Resonance Condition
In a series RLC circuit, resonance occurs when the inductive reactance (XL) is equal to the capacitive reactance (XC). The formulas for these reactances are:
- Inductive reactance: \( X_L = 2\pi f L \)
- Capacitive reactance: \( X_C = \frac{1}{2\pi f C} \)

Where:
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