The rms value of the signal is

Options

A. `10 sqrt((7)/(3))`
B. `(10)/(sqrt(3))`
C. `10 sqrt(7)`
D. `10 sqrt(3)`

Answer

A

Explanation

Mean square value
` =(1)/(T) int_(0)^(T)y^(2)dt =int_(0)^(T) (10+(10)/(T)t)^(2)dt`
`(1)/(T) int_(0) (100 + (100)/(T^2)t^(2)+(200)/(T)t)`
`=(1)/(T) |100 t+(100t^(3))/(3) T^(2))+(100t^(2))/(T)|_(0)^(T) = (700)/(3)`
rms value = `10 sqrt(7//3))`.