7.6 Problems

Problem 1. The initial voltage across the capacitor in the circuit shown is V_{0}=-10V. If the switch is closed at time t=0, determine the time when the voltage across the capacitor is zero. That is, determine t when v_{C}(t)=0. Determine your answer in milliseconds, ms.

 

Problem 2. A 50\muF capacitor is charged to an initial voltage V_{0}. At time t=0 the switch in the circuit is closed, and the capacitor discharges into a 3k\Omega resistor as shown. At time t=100 ms, the voltage across the capacitor is 5 volts. Determine V_{0}.

Problem 3. The following relaxation oscillator circuit has C=0.1\muF and R=100k\Omega.

(a) Determine the oscillation frequency of this circuit assuming the frequency is given by f=\frac{1}{2RC} Hz.

(b) Determine the exact oscillation frequency by making use of the exponential charge and discharge functions of an RC circuit when V_{CC}=+6 volts and V_{EE}= -6 volts.

(c) Determine the exact oscillation frequency when V_{CC}=+6 volts and V_{EE}= -3 volts.

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Applied Electrical Engineering Fundamentals by David J. McLaughlin is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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