4 mA 20 Rs kn R2 10μF υ 1 kM R3 3 k9
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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