... 8.64 For Prob 8.3 Chapter 8, Solution At t = 0-, u(t) = Consider the circuit shown in Figure (a) iL( 0-) = 0, and vR( 0-) = But, -vR( 0-) + vC( 0-) + 10 = 0, or vC( 0-) = -1 0V (a) At t = 0+, since the... = vL(0+) – 12 + 20 = 0, or vL(0+) = -8 Hence, di(0+)/dt = -8 /2 = -4 A/s Similarly, iC = Cdv/dt, or dv/dt = iC/C iC(0+) = -i(0+) = -2 dv(0+)/dt = -2 /0.4 = -5 V/s (c) As t approaches infinity,... Hence, diR(0+)/dt = (-1 /45)dvC(0+)/dt = -2 78/45 diR(0+)/dt = -6 .1778 A/s Also, iR = iC + iL diR(0+)/dt = diC(0+)/dt + diL(0+)/dt -6 .1788 = diC(0+)/dt + 0, or diC(0+)/dt = -6 .1788 A/s (c) As t