Consider the system in Figure 1 and its two (sub)-systems: the rectifier in green and the RC circuit in blue. Assume that all components are ideal (unless otherwise stated) and the characteristics of the components do not change over time. Vin(t) Rectifier Figure 1: Power Supply Circuit RC Circuit Ri + Vrec(t) с R2 Vout(t) 1) (ECE 311 Students Only) - Linearity and time-invariance: a. Is the rectifier a linear system? Is it time-invariant? Justify your answers. b. Is the RC circuit a linear system? Is it time-invariant? Justify your answers. c. If the rectifier is removed from Figure 1, can a DC output voltage be generated from an AC source with the RC circuit alone? Justify your answer. d. Find a mathematical expression for the impulse response h(t) of the RC circuit.

Fig: 1