(Resistor Capacitor Circuits) Another common topic of study in Circuit Analysis is of a Resistor-Capacitor (R) Circuit. Just like an inductor opposes the change in current in a circuit, a Battery Resistor (R) capacitor impedes the change in voltage in a circuit. Capacitors are regularly used to modify and normalize the amount of voltage across a circuit to make sure other Capacitor (C) components aren't damaged. The equation that describes the voltage across a capacitor is given by the first-order differential equation: c.av V at R = 0 where C is the capacitance measured in Farads (F). V is the voltage across the circuit measured in volts (V), and R is the resistance in the circuit measured in ohms (R) across the Resistor-Capacitor Circuit (right shaded side of circuit). a. Suppose a 2F capacitor is completely charged over a 25V circuit with a RC Resistor of 5 before the switch is turned off. Derive the first order differential equation that describes the change in dV voltage over time by solving for