a. 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 = 8τ. c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =12τ. d. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 1 at t =14τ. e. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 2 at t =17τ. f. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =20τ. g. Plot the waveforms obtained in parts (a)–(f) Demonstrate all necessary steps, formulas and calculations properly.
a. 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 = 8τ.
c. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 3 at t =12τ.
d. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 1 at t =14τ.
e. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 2 at t =17τ.
f. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 3 at t =20τ.
g. Plot the waveforms obtained in parts (a)–(f)
Demonstrate all necessary steps, formulas and calculations properly.
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