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Assertion: Average value of AC over a co...

Assertion: Average value of `AC` over a complete cycle is always zero.
Reason: Average value of `AC` is always defined over half cycle.

A

If both assertion ans reason are true ans reaason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion istrue but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and reason provided regarding the average value of alternating current (AC). ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the average value of AC over a complete cycle is always zero. - This is true because an AC signal oscillates between positive and negative values. Over one complete cycle, the positive area under the curve cancels out the negative area, resulting in a net average of zero. 2. **Understanding the Reason**: - The reason states that the average value of AC is always defined over half a cycle. - This is also true. When calculating the average value of an AC waveform, we typically consider only one half of the cycle (either the positive half or the negative half) because the average over the entire cycle would be zero due to the cancellation effect mentioned in the assertion. 3. **Conclusion**: - Both the assertion and the reason are true. - Additionally, the reason correctly explains the assertion. The average value is defined over half a cycle because the average over a full cycle would yield zero, thus necessitating the focus on half cycles to obtain a meaningful average value. 4. **Final Answer**: - Both the assertion and the reason are true, and the reason is the correct explanation for the assertion.
To solve the question, we need to analyze the assertion and reason provided regarding the average value of alternating current (AC). ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the average value of AC over a complete cycle is always zero. - This is true because an AC signal oscillates between positive and negative values. Over one complete cycle, the positive area under the curve cancels out the negative area, resulting in a net average of zero. ...
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