High School

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Consider a generator that rotates its 200-turn, 0.19 m diameter coil at 3700 rpm in a 0.65 T field.

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Answer :

The subject of the question is Physics, focused on electromagnetism, and it is appropriate for High School level. It requires calculating the peak voltage of a generator by applying Faraday's law of electromagnetic induction and converting given values to the appropriate units.

The question involves calculating the peak voltage of a generator, which makes this a physics-related problem, particularly focusing on electromagnetism and the operation of electric generators. The formula to calculate the peak voltage (E) induced in a generator is given by Faraday's law of electromagnetic induction, which is E = NAB extomega sin(extomega t), where N is the number of turns, A is the area of the coil, B is the magnetic field strength, extomega is the angular velocity, and extomega t represents the angle (in radians) between the magnetic field and the normal to the coil at a given time.

To find the peak voltage, it is necessary to calculate the angular velocity in radians per second (since 3700 rpm needs to be converted to rad/s) and determine the area of the coil from its diameter (0.19 m). Using the 0.65 T magnetic field strength with the formula, the calculation will provide the peak voltage generated by the coil as it spins.

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