Chapter 16.2, Problem 66E

To determine

To calculate: The value of $\frac{dV}{dt}$ and sketch the graph explaining about the sudden jumps in the graph of the derivative in a rectifier circuit that converts alternating current to direct current where in a half wave rectifier the negative voltage is “zeroed out” while the positive voltage is untouched and a $110$ volt $50$ cycles per second AC current is converted to a voltage using the equation $V\left(t\right)=55\left[\left|\sin \left(100\pi t\right)\right|+\sin \left(100\pi t\right)\right]$.