For problems 1 and 2, you need to clearly indicate your answers on Smith charts in order to receive full credit. Do not solve more than 1 problem using a single Smith chart. 1. (3 pts) Design a 2-element lumped element matching circuit to match a load impedance of 30- j20 to 50 . a. Use the equations discussed in class to calculate the matching circuit element values. b. Starting with plotting the normalized load impedance, show the steps of converting from the load impedance to the matched 50 impedance by adding the two matching section elements (as done in the examples in class). c. Convert the matching circuit element values to corresponding inductor and/or capacitor values assuming the frequency is 2 GHz. 2. (3 pts) Design a 2-element lumped element matching circuit to match a load impedance of 80 j20 to 50 . a. Use the equations discussed in class to calculate the matching circuit element values. b. Starting with plotting the normalized load impedance, show the steps of converting from the load impedance to the matched 50 impedance by adding the two matching section elements (as done in the examples in class). c. Convert the matching circuit element