Equation for the emf for a rotating loop

In summary, the person is asking for the equation for the maximum emf for a rotating loop, providing information about the voltage, peak voltage, field type, loop radius, loop movement, and rotation speed. They are stuck on the problem and believe that the equation for motional emf may be what they are looking for. Another person suggests the equation for maximum emf is ABω where A is the area, B is the field, and ω is the angular velocity.
  • #1
lampshader
39
0

Homework Statement



Describe the way that the loop is facing for this value to be a maximum. What is the equation for the emf for the rotating loop?

Homework Equations



I don't know.

The Attempt at a Solution



I can't really attempt the problem without the equation. This is a virtual lab interactive and I have several peices of information happening:

1) Voltage: Varies and Reaches a Maxima and Minima
2) Peak Voltage: is constant at the maxima.
3) Feild Type: Uniform
4) Loop Radius: 50cm
5) Loop Movement: Automatic
6) Rotation Speed: 2.0 cyc/s

Yeah, I just don't know the equation for an emf for a rotating loop, If i had that, I wouldn't be so stuck, you know?


Thanks for any help in advance.
 
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  • #2
Would, Motional EMF be the equation that I am looking for?:
[tex]\xi[/tex] = [tex]\nu[/tex] * B * L

yes?
 
  • #3
Maximum EMF = ABω where A is the area, B is the field and ω is the angular velocity.
 

FAQ: Equation for the emf for a rotating loop

What is the equation for the emf for a rotating loop?

The equation for the emf (electromotive force) for a rotating loop is given by: emf = B*A*w*sin(θ), where B is the magnetic field strength, A is the area of the loop, w is the angular velocity, and θ is the angle between the normal vector of the loop and the magnetic field.

How is the emf for a rotating loop affected by the magnetic field strength?

The emf for a rotating loop is directly proportional to the magnetic field strength. This means that as the magnetic field strength increases, the emf also increases, and vice versa.

What is the significance of the loop's area in the equation for emf?

The loop's area plays a crucial role in the emf equation as it determines the amount of magnetic flux passing through the loop. A larger area means more flux, resulting in a higher emf.

Can the emf for a rotating loop be negative?

Yes, the emf for a rotating loop can be negative. This can happen if the angle θ between the normal vector of the loop and the magnetic field is greater than 90 degrees, resulting in a negative value for the sine function in the emf equation.

How does the angular velocity affect the emf for a rotating loop?

The emf for a rotating loop is directly proportional to the angular velocity. This means that as the angular velocity increases, the emf also increases, and vice versa. Additionally, the direction of the angular velocity also determines the direction of the induced emf.

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