What is the graph of power generator output voltage?

Click For Summary
SUMMARY

The discussion centers on the output voltage graph of a generator with a 100-turn coil measuring 5.0 cm by 4.0 cm, rotating in a 0.20 T magnetic field at 50 revolutions per second. The induced electromotive force (EMF) is calculated using the formula E = NBAω, resulting in a maximum voltage of 13 V. An alternative formula, V = L*v*B, is also mentioned to illustrate the relationship between velocity and magnetic field in determining voltage. The timing for the graph begins when the coil is perpendicular to the magnetic field.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula E = NBAω
  • Knowledge of coil geometry and magnetic field interactions
  • Basic graphing skills for voltage versus time representation
NEXT STEPS
  • Research the effects of coil rotation speed on induced voltage
  • Explore the relationship between magnetic field strength and output voltage
  • Learn about the graphical representation of alternating current (AC) voltage
  • Investigate the use of simulations to visualize generator output
USEFUL FOR

Students in physics, electrical engineering majors, and anyone interested in understanding the principles of electromagnetic generators and their voltage output characteristics.

joeykeys
Messages
11
Reaction score
0

Homework Statement


A generator is made from a 100 turn coil, 5.0 cm by 4.0 cm, placed in a magnetic field of strength 0.20 T. The coil rotates at 50 revolutions per second.

http://two.xthost.info/joeykeys/Picture%205.png

Sketch a graph of the output voltage of the coil for one cycle if timing begins at the position where the coil is perpendicular to the magnetic field. Indicate the appropriate values on the voltage and time scale. (3 marks)

http://two.xthost.info/joeykeys/Picture%206.png

Homework Equations



E = NBAw = 100 (0.2) (0.05*0.04) (100*3.14) = 13 V



How could the graph look like?...
Thanks ^^*
 
Physics news on Phys.org
An alternative formula for the potential generated is
V = L*v*B
where v is the component of the velocity vector on the wire going into the page that is perpendicular to the magnetic field. If you picture the v vector going around with the rotor, you'll see at what angle you get the maximum and minimum potentials.
There is an animation here:
http://www.generatorguide.net/howgeneratorworks.html
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
5K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
4K
Replies
1
Views
2K