Consider the RC circuit in Figure 1. R Vin C: Vout Figure 1. Circuit for Problem 3 a) Write the transfer function between the input voltage and the output voltage. Hint: This equation was derived in class. b) Let R = 200 and C = 500 F. Find the static sensitivity and time constant of this first-order system. c) Suppose the voltage source acts as a step input signal, jumping from V = 0 V to V = 15 V at time t = 0 s. Using the resistance and capacitance values from part (b), find the value of the output voltage at time t = 0.2 s. Assume that no energy is stored before the step is applied.