An inductor, a capacitor, and a resistor are connected in series. The combination is connected across an ac source.
Statement 1: Peak current through each remains same.
Statement 2: Average power dielivered by source is equal to average power developed across resistance.

Options

A. Statement 1 is true, statement 2 is true, Statement 2 is the correct explanation for statement 1.
B. Statemet 1 is True, Statement 2 is true , Statement 2 is NOT the correct explanation for Statement 1
C. Statement 1 is True, Statement 2 is False.
D. Statement 1 is False, Statement 2 is true

Explanation

To analyze the given statements regarding the circuit with an inductor (L), capacitor (C), and resistor (R) connected in series across an AC source, we will evaluate each statement step by step.

### Step-by-Step Solution:

1. **Understanding the Series Connection**:
- In a series circuit, the same current flows through all components. This means that the peak current (I₀) through the inductor, capacitor, and resistor will be the same.
- **Conclusion**: Statement 1 is correct.

2. **Power in AC Circuits**:
- The average power delivered by the AC source can be calculated using the formula:
\[ P_{\text{avg}} = I_{\text{rms}}^2 R \]
- In a series circuit, the average power delivered by the source is equal to the average power consumed by the resistor since the inductor and capacitor do not dissipate power; they only store energy temporarily.
- **Conclusion**: Statement 2 is also correct.

3. **Relationship Between the Statements**:
- While both statements are true, Statement 2 does not explain Statement 1. The peak current being the same does not derive from the average power relationship; they are independent observations about the circuit.
- **Conclusion**: Statement 2 is not the correct explanation for Statement 1.

4. **Final Evaluation**:
- Since both statements are true but Statement 2 does not explain Statement 1, we conclude that:
- Statement 1 is true.
- Statement 2 is true but not the correct explanation of Statement 1.

### Final Answer:
- Statement 1 is true, Statement 2 is true, but Statement 2 is not the correct explanation of Statement 1.