Flux through rotating ring

In summary, the problem involves a ring rotating about a horizontal axis with a uniform magnetic field perpendicular to the ring. The ring has a diameter of D and spins at a constant angular velocity ω. At time t = 0, the ring is in the xy plane. The task is to find the flux change per time and understand the significance of rotating around a diameter. The attempted solution uses the equation Flux = ∫B⋅da, assuming that B is constant.
  • #1
dikmikkel
168
0

Homework Statement


A ring can rotate about a horizontal axis(x), and a diameter placed on the x-axis. A uniform field is perpendicular to the ring -B0*y. The diameter of the ring is D. it spins with constant angular velocity ω around the x-axis. At at time t = 0 the ring is entirely in the xy plane

How do i find the flux change per time? And what does it mean that it can rotate around a diameter.
I've attached a figure.


Homework Equations


[itex] Flux = \int \vec{B}\cdot d\vec{a}[/itex]


The Attempt at a Solution


At a time t = 0 the flux through the loop is 0 and i tried to write a solution using that B is constant:
[itex] Flux = B\int sin(\theta (t))d\vec{a}[/itex]
[itex] Flux/dt = B\int cos(\theta(t) ) \omega d\vec{a}[/itex]
 

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  • #2
Nwm.
I found out.
 

1. What is "Flux through rotating ring"?

"Flux through rotating ring" is a concept in physics that describes the amount of energy that passes through a rotating ring in a given period of time. It is often used to measure the efficiency of a rotating system, such as a turbine or engine.

2. How is the flux through a rotating ring calculated?

The flux through a rotating ring is calculated using the formula F = B*A*cos(theta), where F is the flux, B is the magnetic field, A is the area of the ring, and theta is the angle between the magnetic field and the normal vector of the ring.

3. What factors affect the flux through a rotating ring?

The flux through a rotating ring is affected by the strength of the magnetic field, the size and shape of the ring, the speed of rotation, and the angle between the magnetic field and the normal vector of the ring.

4. How is the flux through a rotating ring related to the generator effect?

The flux through a rotating ring is related to the generator effect, which is the principle behind the production of electricity in generators. The rotation of the ring creates a changing magnetic flux, which induces an electric current in the surrounding wires.

5. What are some real-world applications of flux through rotating ring?

Flux through rotating ring has many real-world applications, including in generators, electric motors, and turbines. It is also used in the study of planetary magnetic fields and in medical devices such as MRI machines.

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