Peak voltage output of a generator

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Homework Help Overview

The discussion revolves around the calculation of peak and RMS voltage outputs of a generator, specifically involving a circular armature coil rotating in a magnetic field. The problem is situated within the context of electromagnetism and generator theory.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the peak voltage using the formula ε=NBAωsin(ωt) but expresses uncertainty about the magnitude of their result. Some participants question the conversion of units and its impact on the calculations. Another participant raises a question regarding the assumption that sin(ωt) equals 1, linking it to the nature of the generator.

Discussion Status

The discussion is ongoing, with participants exploring unit conversions and questioning assumptions related to the calculations. Some guidance has been offered regarding unit conversion, but there is no explicit consensus on the correctness of the original poster's approach or results.

Contextual Notes

There is a noted conversion from centimeters to meters that affects the calculations significantly. Additionally, assumptions about the behavior of the sine function in the context of the generator are being examined.

t_n_p
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Homework Statement


A 400 loop circular armature coil with a diameter of 5cm rotates at 60rev/s in a uniform magnetic field of strength 1T.

a) What is the peak voltage output of the generator?
b) What is the RMS voltage output of the generator?

The Attempt at a Solution



a) My answer seems a tad large, I think I'm doing something wrong but can't quite pick it...
ε=NBAωsin(ωt)
ε=400*1*(pi*2.5²)*(60*2pi)*1
ε=2960881V

b) RMS=ε*[1/√(2)]
(Leaving it for now as it depends on the answer from part a)
 
Physics news on Phys.org
Convert 5cm to 0.05m. Reduces answer by a factor of 10000.
 
apelling said:
Convert 5cm to 0.05m. Reduces answer by a factor of 10000.

Silly me...
 
why is sin(wt) = 1?

is it because its a dc generator?
 

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