All problems should be solved beginning from first principles. Use a straight edge on all diagrams. Show ALL your work. Name: 1. (25 points) A 2.0-F capacitor in series with a 2.0-k$2 resistor is connected to a 60-Hz ac voltage source. a. (10 points) Draw the circuit diagram.\f2. [25 points} The Earth is 1.49 x IO\" meters from the sun. The solar radiation at the top of the Earth's atmosphere is 1340 Win12. a. (05 points) Draw a clear diagram of the problem. The diagram must support your answer. b. (10 points) What is the average total power output of the Sun. c. (10 points) Compute the peak values of the electric and magnetic fields at the top of the Earth's atmosphere.3. (25 points) A magnetic field of a plane-polarized electromagnetic wave in SI units is given as B(z, t) = Bo sin[kz - wt] f. Note: Bo = 1.2 x 10-6 T , k = 240 m , and W = 2n (1.25 x 107) Hz . a. (10 points) Find the electric field vector function at that same place and time.\fc. [5 points) Using the vectors above, draw the electromagnetic wave at this point in space and time. Include a coordinate system