3. [15p] Assume that the switch in the circuit shown below has been in the position a for a long
enough time, and then thrown to the position b, at t=0.
(a) [1p] For t? 0, find the initial capacitor voltage at
t=0sec, $v_c(0^+)$.
R=2k?
R?=4k?
(b) [2p] For t? 0, find the final capacitor voltage
at t?? sec, $v_c(?)$.
V=10V
+ $v_c$
$V_o$
$C=1µF
V?=5V
(c) [3p] Find the numerical expression for $v_c(t)$, for t? 0.
(a) [3p] Find the numerical expression for the capacitor current, $i_c(t)$, for t? 0.
(b) [6p] Draw qualitatively the found $v_c(t)$ and $i_c(t)$, for t? 0.
(Specify the initial and final values, and the time constant on the graphs.)
3/
