The average current in terms of `l_(0)` for the waveform shown is

Options

A. `l_(0)`
B. `(l_(0))/(3)`
C. `(l_(0))/(2)`
D. `(l_(0))/(4)`

Answer

C

Explanation

As, `I=2I_(0)(t)/(T_(0))` where, `0 lt t lt (T_(0))/(2)`
and `I=2I_(0)((t)/(t_(0))-1)` where, `(T_(0))/(2) lt t lt T_(0)`
`therefore I_(av)=(2)/(T)int_(0)^(T_(0))I" "dt=(2)/(T_(0))[int_(0)^(T)2(2I_(0)t)/(T_(0))dt]`
`=(2)/(T_(0)^(2))[(2I_(0)T_(0)^(2))/(2xx4)]=(I_(2))/(2)`