The electric current in a circuit is given by `I = i_0 (t/(tau))` for some time. Calculate the rms current for the period `t = 0` to `t= (tau)`.

Explanation

Mean square current for the period
`t = 0` to `t = tau` is
`bar( i^(2)) = (1)/(tau) int_(0)^(tau) i_(0)^(2) (t//tau)^(2) dt = (i_(0)^(2))/(tau^(3)) [(t^(3))/(3)]_(0)^(tau) = (i_(0)^(2))/(3)`
`:. i_(r.m.s) = sqrt(bar(i^(2))) = sqrt((i_(0)^(2))/(3)) = (i_(0))/(sqrt3)`