6.2 The RC Circuit: Example 6-2 cont.
The result below is the single-node-pair prototype circuit and its differential equation is:
2dv(t)/dt + v(t)/(1W) = 7.5 A. or
dv(t)/dt + v(t)/2 = 3.75 \ T = 1 W ´ 2 F= 2 Sec.
Which has generic solution:
v(t) = [v(0+) - vSS(0+)]e-t/(RC) + vSS(t)
v(t) = [10 V. - 7.5 V.]e-t/2 + 7.5 or ...