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(c) A solenoid is part of the transformer. The solenoid has circular cross-section and has a radius r = 10 mm, a length L = 0.5m, and has 100 turns. Using Ampere's law, with the aid of a diagram and stating any necessary assumptions, show that the magnetic field can be approximated as B = μonl and estimate this magnetic field strength for a current of 1 A. (8 marks) (d) A circular coil is wrapped around the solenoid with radius R = 20mm and has a total of 50 turns. Calculate, with the aid of a diagram, the electromotive force induced across this second coil of the transformer, assuming an alternating current of 1 A flows in the coil.
O You are an electrical engineer, consulting for the car company above. Write a short email to the Chief Engineer outlining if you think this design is suitable for operating the spark plug, and outlining any changes or improvements you would make. (5 marks)