# 7.6 Problems

Problem 1. The initial voltage across the capacitor in the circuit shown is V. If the switch is closed at time , determine the time when the voltage across the capacitor is zero. That is, determine when . Determine your answer in milliseconds, ms.

Problem 2. A F capacitor is charged to an initial voltage . At time the switch in the circuit is closed, and the capacitor discharges into a resistor as shown. At time ms, the voltage across the capacitor is 5 volts. Determine .

Problem 3. The following relaxation oscillator circuit has F and .

(a) Determine the oscillation frequency of this circuit assuming the frequency is given by Hz.

(b) Determine the exact oscillation frequency by making use of the exponential charge and discharge functions of an RC circuit when volts and volts.

(c) Determine the exact oscillation frequency when volts and volts.