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Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially uncharged and the switch is thrown into position 1 at t = 0 s.

Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially uncharged and the switch is thrown into position 1 at t = 0 s.


b. Find the mathematical expressions for the voltage vC and the current iC if the switch is moved to position 2 at t = 3 ms.


 c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms.


d. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 1 at t =7 ms.


e. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 2 at t =15 ms.


f. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =20 ms.


g. Plot the waveforms obtained in parts (a)-(f) 


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