1. (10 points) In a science project, you plan to apply the knowledge of PHYS 212 to construct a generator and transformer to power your laptop. Suppose you will make use of the Earth’s magnetic field. Assume it has a strength of 0.040 T at your location. Your generator design calls for a coil of 5000 windings rotated at exactly 120 Hz. The coil is oriented so that the normal to the area lines up with the Earth’s field at the end of each cycle. (a) Find out the coil diameter in order to generate a maximum voltage of 170 V (required in order to average 120 V). (4 points) (b) Design a transformer that allows you to use the "electricity" from your generator to power up your laptop. Your laptop requires a voltage of about 15 V. Specify clearly the turn ratio between primary and secondary coils. Draw a schematic plot of the windings. (6 points)