What is the EMF generated in the loop?

In summary, a circular loop of wire with a diameter of 10 cm and its normal at a 30 degree angle to a 0.50T magnetic field is "wobbled" at a constant rate of 100 rev/min. The angle between the normal and field direction remains unchanged. The resulting emf in the loop is zero, likely due to the loop not being displaced and having a velocity of zero. Alternatively, Faraday's law could be used to calculate the flux through the loop and determine that it does not change, resulting in an emf of zero.
  • #1
iggybaseball
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" A circular loop of wire 10 cm in diameter is placed with its normal making an angle of 30 degrees with the direction of a uniform 0.50T magnetic field. The loop is "wobbled" so that its normal rotates in a cone about the field direction at the constant rate of 100rev/min; the angle between the normal and the field direction (= 30 degrees) remains unchanged during the process. What emf appears in the loop?"

Alright I know that I am supposed to use the equation:
E(potential difference) = BDv
With B as the magnetic field, D as the area with a magnetic field that is not equal to 0 and v is the velocity. The back of the book says that the emf is zero. Is this because the loop is not being displaced ( it is wobbling in the same spot?) so it's velocity is zero?
 
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  • #2
iggybaseball said:
Alright I know that I am supposed to use the equation:
E(potential difference) = BDv
That equation applies to a special case: That equation will calculate the motional EMF along a wire segment of length D that moves with speed v perpendicular to a magnetic field B.

Rather than struggle to apply this equation, consider the more general Faraday's law. (Look it up if you need to.) What's the flux through the loop? Does the flux change?
 

1. What is Motional EMF in a loop of wire?

Motional EMF, or electromotive force, is the voltage induced in a loop of wire when it moves through a magnetic field. This phenomenon is described by Faraday's law of induction.

2. How is Motional EMF calculated?

The magnitude of Motional EMF is calculated by the equation E = Blv, where B is the strength of the magnetic field, l is the length of the wire, and v is the velocity at which the wire moves through the field.

3. What factors affect the magnitude of Motional EMF?

The magnitude of Motional EMF is affected by the strength of the magnetic field, the length of the wire, and the velocity at which the wire moves. Additionally, the angle between the wire and the magnetic field can also affect the magnitude of the EMF.

4. What is the direction of the induced current in a loop of wire with Motional EMF?

The direction of the induced current in a loop of wire with Motional EMF can be determined using Lenz's law, which states that the induced current will flow in a direction that opposes the change in the magnetic field that is causing it.

5. What are some practical applications of Motional EMF?

Motional EMF has various practical applications, such as in electric generators and motors. It is also used in devices such as magnetic levitation trains and particle accelerators. Additionally, Motional EMF is used in sensors and detectors for measuring movement and velocity.

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