The rms value of potential difference `V` shown in the figure is

Options

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

Answer

B

Explanation

`V_(rms)=[1/Tint_(0)^(T//2) V_(0)^(2) dt]^(1//2)=[(V_(0)^(2))/T [t]_(0)^(T//2)]^(1//2)`
`=[(V_(0)^(2))/T(T/2)]^(1//2)`
`V_(rms)=(V_(0))/(sqrt(2))`