The source-free circuit depricted in Fig. 9.1 is constructed using a 10mH induct

Question

The source-free circuit depricted in Fig. 9.1 is constructed using a 10mH inductor, a 1mF capacitor, and a 1.5k ohms resistor.
a) Calculate alpha ( neperfrequency or exponential damping coefficient), omega-sub-delta (natural resonance frequency), and omega-sub-zero (resonant frequency).
b) Write the equation which describes the current i for t>0.
c) Determine the maximum value for i, and the time at which it occurs, if the inductor initially stores no energy and v(0-)=9V

Fig. 9.1: http://www.flickr.com/photos/79658186@N04/7199958174/in/photostream

Explanation / Answer

i = 2-2e^(-5t)
V(t) = 9 - 0.4e^(-5t)

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