Rotating conductor in magnetic field

[jsmit21]

Homework Statement

The problem consists of a single rotating conductor in a magnetic field as shown, I don't understand at which given numbered points where there would be a maximum and zero induced emf ?

http://imagizer.imageshack.us/v2/1600x1200q90/28/7ggv.png

The Attempt at a Solution

I know that its said to be when the conductor is parallel with the magnetic field it is cutting no flux lines and therefore no emf is induced and when it is cutting at 90° perpendicular to the field the emf is maximum, so I am guessing that at position 1 it would be maximum, but I'm not sure.

 

[berkeman]

Homework Statement

The problem consists of a single rotating conductor in a magnetic field as shown, I don't understand at which given numbered points where there would be a maximum and zero induced emf ?

http://imagizer.imageshack.us/v2/1600x1200q90/28/7ggv.png

The Attempt at a Solution

I know that its said to be when the conductor is parallel with the magnetic field it is cutting no flux lines and therefore no emf is induced and when it is cutting at 90° perpendicular to the field the emf is maximum, so I am guessing that at position 1 it would be maximum, but I'm not sure.

Welcome to the PF.

You deleted the part of the Homework Help Template that asks for the Relevant Equations. What is the equation that is most relevant to this problem? That is what you will use to answer the question...

 

[jsmit21]

Thanks for your reply, is it the case then that if V=BLVSinθ, then at position 1, since the angle is 90° to the lines of flux it would be maximum, i think I'm confused about statements of coils being parallel being 0, and perpendicular being maximum any help is appreciated ?

 

[berkeman]

Thanks for your reply, is it the case then that if V=BLVSinθ, then at position 1, since the angle is 90° to the lines of flux it would be maximum, i think I'm confused about statements of coils being parallel being 0, and perpendicular being maximum any help is appreciated ?

That's not the equation I was thinking of. There is an equation that relates the voltage induced around the periphery of a surface to the derivative of the flux piercing the surface...

 

[rezeew]

I would like to clarify and expand upon the concept of induced emf in a rotating conductor in a magnetic field. The phenomenon of induced emf occurs when there is relative motion between a conductor and a magnetic field. In this case, the conductor is rotating, which means that it is constantly changing its orientation with respect to the magnetic field.

In order to understand where there would be a maximum and zero induced emf, we need to consider the relationship between the direction of the magnetic field, the direction of motion of the conductor, and the direction of the induced current. According to Faraday's law of induction, the induced emf is directly proportional to the rate of change of magnetic flux through the conductor.

Now, let's look at the given diagram. At position 1, the conductor is perpendicular to the magnetic field, which means that it is cutting through the maximum number of magnetic flux lines. This results in the maximum rate of change of magnetic flux and therefore the maximum induced emf. At position 2, the conductor is parallel to the magnetic field, which means that it is not cutting through any magnetic flux lines. Hence, there is no change in magnetic flux and no induced emf. At positions 3 and 4, the conductor is at intermediate angles, resulting in intermediate values of induced emf.

In conclusion, the maximum and zero induced emf occur at positions 1 and 2, respectively, due to the orientation of the conductor with respect to the magnetic field and the resulting change in magnetic flux. It is important to note that the magnitude of induced emf also depends on factors such as the strength of the magnetic field, the speed of rotation, and the length of the conductor. I hope this clarifies your understanding of induced emf in a rotating conductor in a magnetic field.