ECE 201 Circuit Theory I1 Step Response of an RC Circuit + v C (t) - i(t) Close the switch at t = 0 Write KCL at the top node Allow for the possibility of an initial voltage V 0
ECE 201 Circuit Theory I2 Step Response of a RC Circuit Write KCL at the top node + v C (t) - i(t)
ECE 201 Circuit Theory I3 Look at the results Initial Capacitor = V 0 Final Capacitor = I s R Time Constant = RC
ECE 201 Circuit Theory I4 Results (continued) i(t) V 0 /R +V0-+V0-
ECE 201 Circuit Theory I5 Plot the current
ECE 201 Circuit Theory I6 Plot the capacitor voltage