Electro Magnetic Induction And Alternating Currents Question 123

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

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

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

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

E) If assertion is false but reason is true.

Show Answer

Answer:

Correct Answer: B

Solution:

The mean average value of alternating current (or emf) during a half, cycle is given by $ I_{m}=0.636,I_{0} $ (or $ E_{m}=0.636E_{0}) $ During the next half cycle, the mean value of ac will be equal in magnitude but opposite in direction. For this reason the average value of ac over a complete cycle is always zero. So the average value is always defined over a half cycle of ac.



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