Question

Assertion The average value of alternating emf is 63.39% of the peak value .
Reason The rms value of alternating emf is70.72% of peak value
A. Both assertin and reason are true and reason is the correct explanation of assertion
B. Both assertion and reason are true but reason is not the correct explanation of assertion
C. Assertion is true but reason is flase
D. Both assertion and reason are false

Answer 1

Correct Answer - B
The average value of alternating emf `E=E_(0)sinomega` t over a positive half cycle is
`E_(av) half cycle =(2E_(0))/(pi)=0.6369`
Percentage of `E_(av)=0.6369xx100=63.69%`
Also rms value of emf is given as `E_(rms)=(E_(0))/(sqrt(2))=0.7072`
Percentage `E_(rms)=0.7072xx10=70.72%`