Project 2, Program Design 1. Write a C program that will calculate the voltage across the capacitor in the following circuit as time increases from 0 to 1 second in increments of 1/15 second, assuming that the switch is closed at time 0. Switch +10 V battery 3 K Resistor 50 F capacitor The voltage across the capacitor at time t is given by the following equation v(t) = V x (1-e-t Constants: In this circuit, V = 10 volts, R = 3,000 ohms, and C = 50 x 10-6 farads. The circuit has a time constant, which depends on the resistance, R, and the capacitance, C, as R x C : 0.15