A cylindrical tungsten filament 16.0 cm long with a diameter of 1.20 mm is to be used in a machine for which the temperature will range from room temperature (20⁰ C) up to 120⁰ C. It will carry a current of 14.0 A at all temperatures ( Resistivity of tungsten at 20⁰ C is 5.25×10−8Ωm, the temperature coefficient of resistivity at 20⁰ C is 0.0045 ⁰ C-1) a) What will be the maximum electric field in this filament? Express your answer using two significant figures.
b) What will be its resistance with that field? Express your answer using two significant figures.
c) What will be the maximum potential drop over the full length of the filament? Express your answer using two significant figures.

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Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?