Consider the AC circuit below. We will assume that the circuit is in steady-state. Thus, the voltage at nodes 1 and 2 are given by v1
t and v2
t + q
) where VS
is the voltage of the source, w
is the frequency (in radians per second), and t is time. VR
is the magnitude of the voltage drop across the resistor, and q
is its phase.
You are to write a program to determine VR
for different values of w
. You will need two laws of electricity to solve this problem. The first is Ohm's Law, which states v2
= iR where i is the current in the circuit, oriented clockwise. The second is i = C d/dt (v1
) which relates the current to the voltage on either side of the capacitor. "d/dt"indicates the derivative with respect to t.