चित्र में दर्शाया गया विभवान्तर V का वर्ग माध्य मूल मान होगा-

Options

A. `(V_(0))/(sqrt(3))`
B. `V_(0)`
C. `(V_(0))/(sqrt(2))`
D. `(V_(0))/(2)`

Answer

C

Explanation

`0letle(T)/(2)` के लिए, `V=V_(0)`
`(T)/(2)letleT` के लिए, `V=0`
`V_(rms)=[(int_(0)^(T)V^(2)dt)/(int_(0)^(T)dt)]^(1//2)=[(int_(0)^(T//2)V_(0)^(2)dt+int_(T//2)^(2)(0)dt)/(int_(0)^(T)dt)]^(1//2)`
`=[(V_(0)^(2))/(T)[t]_(0)^(T//2)]^(1//2)=[(V_(0)^(2))/(T)((T)/(2))]^(1//2)=[(V_(0)^(2))/(2)]^(1//2)`
`V_(rms)=(V_(0))/(sqrt(2))`.