1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc(t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo- c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage vc(t) cross the capacitor. e. Find voltage vċ(t) cross the capacitor for t> 0 and sketch it. Solution: 60V 5 mH 8002 ww t=0 2 μF B + Vc(t) 15 KQ 9 KQ www 40V

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