What is the power of unit step signal with magnitude A

[jaus tail]

Homework Statement

Find power of signal A u(t)
A is constant like 5, 6 some value.[/B]

Homework Equations

Power is integration over -T/2 to +T/2 of [x(t)]² dt
The whole divide by T

The Attempt at a Solution

Power is integration over -T/2 to +T/2 of [A u(t)]²dt[/B]
The whole divide by T

So 1/T integral A² dt...integral limits are -T/2 to +T/2
This comes as 1/T A² integral dt

integral dt is t. limits are -T/2 to +T/2
so integral dt = [T/2 - ( -T/2) ] which becomes T
so Poewr is 1/T * A² * T
which gives A²

But book answer is A² /2
Where did the divide by 2 come from?

 

[Simon Bridge]

u(t)=1 when t>0 only.
integral is area under the graph - sketch the graph and see...

 

[LCKurtz]

What are ##T## and ##u(t)## in your problem?

 

[jaus tail]

u(t) is unit function
u(t) =1 for t > 0 or t =0
u(t) = 0 otherwise.

T is just a random time value. So -T to +T is symmetric about y axis.

Ok now i get it. Since u(t) = 0 for negative time. the integral limit changes from (-T/2 to +T/2) to ( 0 to +T/2).
Got it. Thanks.