Assertion (A) : The r.m.s value of alternating current is defined as the square root of the average of `I^(2)` during a complete cycle.
Reason (R ) : For sinusoidal a.c.
`(I = I_(0) sin wt) I_("rms") = (I_(0))/(sqrt(2))`

Options

A. Both Assertion 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 false
D. Assertion is false but Reason is true

Answer

2

Explanation

Definition of rms current, `I_("rms") = sqrt((int_(0)^(T) l^(2) dt)/(int_(0)^(T) dt))`
If `l = l_(0) sin omega t` then `I_("rms") = sqrt((1)/(T) int_(0)^(t) l^(2) dt)`,
`l_("rms") = sqrt((1)/(T) int_(0)^(T) sin omega t dt) = (l_(0))/(sqrt(2))`
So both statements are ture but statement-2 is not correct explanation of statement-1