Answer :
Final answer:
This question concerns the Physics topic of electric generators and involves calculating the peak voltage using Faraday's law of electromagnetic induction. The calculation takes into account coil turns, coil diameter, rotation speed, and magnetic field strength. The term 'randomized variable' is unclear without further context but it implies a variable that can be changed to affect the result.
Explanation:
The subject of this question is Physics as it involves calculating the peak voltage produced by an electric generator. Electric generators work on the principle of electromagnetic induction, which is a topic within physical sciences that describes the generation of an electromotive force (emf) by changing the magnetic environment around a circuit. In this case, a coil of wire (200 turns, with a diameter of 0.15 m) is rotating within a magnetic field (0.95 T) at a high speed (3700 rpm).
To find the peak voltage, one would typically use Faraday's law of electromagnetic induction. To calculate the peak voltage of a generator, we use the formula Vpeak = NABωsin(ωt), where N is the number of turns in the coil, A is the area of the coil in square meters, B is the magnetic field strength in teslas, and ω is the angular velocity in radians per second.
To convert rpm to radians per second, we use the conversion factor (2π radians/rev) * (1 min/60 sec). In this question, the 'randomized variable' could refer to any part of the setup that could be changed to affect the outcome, such as the number of turns of the coil, the diameter of the coil, the speed of rotation, or the strength of the magnetic field. Without further context, it is hard to determine which specific variable the question refers to as 'randomized'. However, typically in physics problems like these, the variables provided are used in a fixed way to calculate the desired outcome.
