What is the graph of power generator output voltage?

[joeykeys]

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 ^^*

 

[Delphi51]

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

 

[kerimek]

The graph of power generator output voltage would typically show a sinusoidal shape, with the voltage increasing as the coil moves through the magnetic field and then decreasing as it moves away. The peak voltage would occur when the coil is perpendicular to the magnetic field, and the lowest voltage would occur when the coil is parallel to the field. The voltage and time scales on the graph would correspond to the values calculated using the equation E = NBAw. The graph would also show a period of 1/50 seconds, representing the 50 revolutions per second of the coil. The voltage values on the graph would range from 0 V to a maximum of 13 V, as calculated from the given parameters.