Magnetic field by moving plate capacitor ?

In summary, the problem involves a moving parallel plate capacitor with uniform surface charge on the upper and lower plates. The magnetic field between the plates is the same in magnitude and direction, while above and below the plates it is opposite in direction and cancels out.
  • #1
BREAD
50
0
KakaoTalk_20151018_175827709.jpg

1. Homework Statement


A large parallel plate capacitor with uniform surface charge σ on
upper plate and −σ on lower is moving with a constant speed v.

Q1]Find the magnetic field between the plates and also above and below them.

Homework Equations

The Attempt at a Solution



I know that above the top capacitor, direction of B is out of the page and into the page below the top capatitor.

and as for the bottom capacitor, above : into the page , below : out of the page.

so, between the plate , same amount of B are added into the page.
sasd.PNG


but i can't understand why above and below both plates the fields cancel
 
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  • #2
BREAD said:
but i can't understand why above and below both plates the fields cancel
They have the same magnitude (for the approximation of infinite sheets) but opposite direction.
 

Related to Magnetic field by moving plate capacitor ?

1. How does a moving plate capacitor create a magnetic field?

As the plates of the capacitor move closer together or farther apart, the electric field between them changes, creating a changing magnetic field around the capacitor. This phenomenon is known as electromagnetic induction.

2. What is the direction of the magnetic field created by a moving plate capacitor?

The direction of the magnetic field depends on the direction of the movement of the plates. If the plates move closer together, the magnetic field will be in one direction, and if they move farther apart, the magnetic field will be in the opposite direction. The direction of the magnetic field can be determined using the right-hand rule.

3. How does the speed of the plates affect the strength of the magnetic field?

The strength of the magnetic field created by a moving plate capacitor is directly proportional to the speed of the plates. This means that the faster the plates move, the stronger the magnetic field will be.

4. Can the magnetic field created by a moving plate capacitor be controlled?

Yes, the magnetic field can be controlled by changing the speed and direction of the plates' movement. Additionally, by changing the distance between the plates, the strength of the magnetic field can also be altered.

5. What are the practical applications of a moving plate capacitor and its magnetic field?

Moving plate capacitors are commonly used in particle accelerators, where they can be used to manipulate the path of charged particles through the use of magnetic fields. They are also used in magnetic levitation systems and in various types of motors and generators.

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