step function of RC circuit

RC circuit with a Pulse source Circuit parameter: Pulse source = 5Vp-p @ 1Hz R1 = 1kohm C1 = 100uF Solve for some capacitor voltages on a given time constant Equation for discharging capacitor V(t) = Vmax * e(-t/RC) if t = RC V(t) = Vmax * e(-1) In this circuit Vmax = 5V then: V(t) = 5V * e(-1) V(t) = 5V * .368 V(t) = 1.84V if t = RC = 1Kohm x 100 micro Farads t= .1sec *note the time value in seconds Discharging capacitor voltage with respect to time Run the simulation: Now look on the graph. See the Capacitor discharge voltage and note the values at t = RC or .1sec The time t is the delta value: t = t2-t1 where: t = .1sec What is the Voltage across the capacitor at .1sec? V(.1sec) = ? Charging capacitor voltage with respect to time Equation for charging capacitor V(t) = Vmax * [1-e(-t/RC)] if t = RC V(t) = Vmax * [1-e(-1)] solve for V(t) where t=RC and Vmax=5V V(t) = 5V * [1-e(-1)] V(t) = 5V * [6.3] V(t) = 3.2V Run the simulation: Now look on the graph. See the Capacitor charging voltage and note the values at t = RC or .1sec The time t is the delta value: t = t2-t1 where: t = .1sec What is the Voltage across the capacitor at .1sec? V(.1sec) = ?