A : AC can be transmitted over long distances at high voltage without much power loss.
R : The average value of AC is defined over any half cycle.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion and Reason are false statement, then mark (4)

Answer

To analyze the given statements, we need to evaluate both the assertion (A) and the reason (R) provided in the question.

### Step 1: Understand the Assertion (A)
The assertion states that "AC can be transmitted over long distances at high voltage without much power loss."

**Explanation:**
- Alternating Current (AC) is indeed transmitted over long distances at high voltages.
- The reason for this is that when the voltage is high, the current can be kept low (according to Ohm's law, \( V = IR \)).
- Power loss in the transmission lines is given by the formula \( P_{\text{loss}} = I^2R \), where \( I \) is the current and \( R \) is the resistance of the transmission line.
- By increasing the voltage and decreasing the current, the power loss can be minimized, making long-distance transmission efficient.

### Step 2: Understand the Reason (R)
The reason states that "The average value of AC is defined over any half cycle."

**Explanation:**
- The average value of an AC signal over a complete cycle is zero because the positive and negative halves cancel each other out.
- Therefore, to obtain a meaningful average value, we typically consider only one half of the cycle (either the positive or negative half).
- This is true and is a standard practice in AC analysis.

### Step 3: Evaluate the Relationship Between A and R
Now, we need to determine if the reason (R) correctly explains the assertion (A).

**Analysis:**
- While both statements are true, the reason provided does not directly explain why AC can be transmitted efficiently over long distances at high voltage.
- The assertion is about minimizing power loss during transmission, while the reason discusses the average value of AC, which is a separate concept.

### Conclusion
Based on the analysis:
- Both the assertion (A) and the reason (R) are correct.
- However, the reason (R) does not serve as the correct explanation for the assertion (A).

Thus, the correct option is:
**Option B: Both the assertion and reason are correct, but the reason is not the correct explanation of the assertion.**

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