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 v

You are to write a program to determine V

_{1}= V_{S}coswt and v_{2}= V_{R}cos (wt + q ) where V_{S}is the voltage of the source, w is the frequency (in radians per second), and t is time. V_{R}is the magnitude of the voltage drop across the resistor, and q is its phase.You are to write a program to determine V

_{R}for different values of w. You will need two laws of electricity to solve this problem. The first is Ohm's Law, which states v_{2}= iR where i is the current in the circuit, oriented clockwise. The second is i = C d/dt (v_{1}-v_{2}) which relates the current to the voltage on either side of the capacitor. "d/dt"indicates the derivative with respect to t.