Question 8: AC fundamentals

Question

Assertion : The average value of alternating emf is $$63.39 \%$$ of the peak value.
Reason : The rms value of alternating emf is $$70.72 \%$$ of peak value.

Accepted Answer

The average value of alternating emf $$E=E_0 \sin \omega t$$ over a positive half cycle is
$$E_{	ext {av }} 	ext { half cycle }=\frac{2 E_0}{\pi}=0.6369$$
Percentage of $$E_{\mathrm{av}}=0.6369 	imes 100=63.69 \%$$
Also rms value of emf is given as
$$E_{\mathrm{rms}}=\frac{E_0}{\sqrt{2}}=0.7072$$
Percentage
$$\begin{aligned}
E_{\mathrm{rms}} & =0.7072 	imes 100 \
& =70.72 \%
\end{aligned}$$

Answer

Both assertion and reason are true and reason is the correct explanation of assertion

Answer

Both assertion and reason are true but reason is not the correct explanation of assertion

Answer

Assertion is true but reason is false

Answer

Both assertion and reason are false.

AC fundamentals

Assertion : The average value of alternating emf is $63.39 \% of the peak value. Reason : The rms value of alternating emf is 70.72 \%$ of peak value.

Choose the correct answer: