1. Consider the RC Circuit shown in Fig. 1. Assume the excitation is a 10 kHz sine wave with amplitude of 1 volt. Carry out the following procedure: a. Derive expressions for the voltages across the resistor and the capacitor as time functions. You must derive the time domain expressions. b. Use these expressions to plot the voltages across the source, the resistor and the capacitor over two periods using MATLAB and a reasonable time interval (step size), e.g. At = T/20, where T is the period of the sine wave. Capture the plot and paste it in the report form below. V1 R1 V1 V2 100 Fig. 1: RC Circuit C1 0.1μF