Considering the RC Network shown in Figure 5.1, we can use KCL to write Equation (5.1).
Figure 5.1 Source-free RC Network
dv o ( t ) v o ( t ) + =0 dt R
dv o ( t ) v o ( t ) + =0 dt CR
If Vm is the initial voltage across the capacitor, then the solution to Equation (5.1) is
v 0 (t ) = Vm e
t − CR
CR is the time constant Equation (5.2) represents the voltage across a discharging capacitor. To obtain the voltage across a charging capacitor, let us consider Figure...