Peak voltage output of a generator

In summary, a 400 loop circular armature coil with a diameter of 5cm, rotating at 60rev/s in a uniform magnetic field of strength 1T, has a peak voltage output of 2960881V and an RMS voltage output dependent on the answer from part a. The sine function equals 1 in this case due to the generator being a DC generator.
  • #1
t_n_p
595
0

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)
 
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  • #2
Convert 5cm to 0.05m. Reduces answer by a factor of 10000.
 
  • #3
apelling said:
Convert 5cm to 0.05m. Reduces answer by a factor of 10000.

Silly me...
 
  • #4
why is sin(wt) = 1?

is it because its a dc generator?
 

FAQ: Peak voltage output of a generator

What is peak voltage output of a generator?

The peak voltage output of a generator refers to the maximum voltage that can be produced by the generator. It is the highest point of the voltage waveform and is typically measured in volts (V).

How is peak voltage output determined?

The peak voltage output of a generator is determined by the design and construction of the generator, as well as the speed at which it is operating. The size of the generator, the strength of its magnetic field, and the number of turns in the coil all play a role in determining the peak voltage output.

What factors can affect the peak voltage output of a generator?

Factors that can affect the peak voltage output of a generator include the speed at which it is operating, the load it is powering, and the condition of the generator's components. Changes in any of these factors can result in a change in the peak voltage output.

Why is the peak voltage output important?

The peak voltage output is important because it determines the maximum amount of power that can be delivered by the generator. It also affects the performance and efficiency of the generator, as well as the quality and stability of the electricity being produced.

Can the peak voltage output of a generator be increased?

Yes, the peak voltage output of a generator can be increased by adjusting the speed at which it is operating, as well as by making changes to its design and construction. However, it is important to note that increasing the peak voltage output may also require adjustments to other components of the generator to ensure safe and efficient operation.

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