Vbatt 12 V R L 0.5 H iL t=0s + 502 R = 1 Ω C VC 2 F

Find iL(0+), vC (0+), diL/dt|t=0+, dvC/dt|t=0+, vC(t). Sketch vC(t) for -0.1 < t < 2 s

A.Draw the equivalent circuit at t = 0- s to find iL(0-) and vC(0-).

B.Draw the equivalent circuit at t = 0+ s with iL(0+) and vC(0+) to find the desired voltages, currents and/or derivatives.

C.Calculate a and w0 and determine type of damping and the form of the solution. If underdamped, calculate wd.

D.Use the initial conditions to determine A1 and A2.

E.Solutions! Sketch vC(t) for -0.1 < t < 2 s.