Univ. of Illinois, Urbana-Champaign

Prof. Mark Nelson

2. To simulate the behavior of this circuits, you'll need to numerically
integrate the differential equations that describe the rate-of-change of
the voltage. The simplest approach to implement is *Euler's method*.
To solve the differential equation:

use the iterative procedure

where delta_t
is the integration step size and *y* is the quantity that is being
integrated.

Using the Euler integration technique, simulate the response of the circuit in (1) to a step change in applied current . Use the following parameters in you simulations:

*R* = {2, 5, 10, 20, 50} (i.e.
simulate responses for 5 different values of *R*)

*C* = 1, *V*0
= 0, delta_t
= 1

* *

Turn in a listing of your code and a plot of the voltage as a function of time for 0 < t <= 100

for the 5 values of R given above. Your plot should look similar to the following figure.