A rectangular pulse input is a positive step function that lasts a duration D. One way of producing a step voltage input is to use a switch like that shown in Figure 6.2.11a. The battery voltage V is...

A rectangular pulse input is a positive step function that lasts a duration D. One way of producing a step voltage input is to use a switch like that shown in Figure 6.2.11a. The battery voltage V is constant and the switch is initially closed at point B. At t = 0 the switch is suddenly moved from point B to point A. Then at t = D the switch is suddenly moved back to point B. Obtain the expression for the capacitor voltage v₁(t) assuming that v₁(0) = 0.