Solution

The theoretical response of this circuit in the time domain is,

Iprbook00000029.gif

What does convolution mean and how can it be used to determine the response of this circuit in the time domain? The convolution of two arbitrary signals is,

Iprbook00000030.gif

It can be proven that the time response of a circuit to a source s(t) is:

Iprbook00000031.gif

where w(t) is the response of the circuit to the Dirac impulse. In this case,

Iprbook00000032.gif

So, we have to define a function that computes the desired convolution integral.

Function Conv(u);

begin

Conv:=Integ(R/L*exp(-R/L*tau),0,u,tau);

end; {Conv}

draw(Conv(t),Conv)

e8_2.gif