Solve Magnetic Field & Energy Between 2 Equally Magnetized Plates

In summary, the formula for calculating magnetic field between two equally magnetized plates is B = μ0M/2πd, and the direction can be determined using the right-hand rule. The relationship between magnetic field strength and distance is inverse square, and the energy between the plates decreases as the distance increases. The magnetic field can also be affected by external factors such as other magnetic fields or the orientation of the plates.
  • #1
Jgamita10
2
0

Homework Statement



Two very thick equally-magnetized square plates of
side 0.23m and of mass 20 g, are hung by threads
20.0 cm long from a common point. The plates repel and
deflect from each other through a very small angle.

a) Calculate the B field between the two plates, if the
distance between them is 0.123 cm?

b) Calculate the magnetic
field energy stored between the two plates.

Homework Equations





The Attempt at a Solution


I so far solved for the angle, and solved for the tension in the string using W=Mg=Tcosθ
 
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  • #2
Hint: use the principle of virtual work.
 

FAQ: Solve Magnetic Field & Energy Between 2 Equally Magnetized Plates

1. What is the formula for calculating magnetic field between two equally magnetized plates?

The formula for calculating magnetic field between two equally magnetized plates is B = μ0M/2πd, where B is the magnetic field strength, μ0 is the permeability of free space, M is the magnetization of the plates, and d is the distance between the plates.

2. How do you determine the direction of the magnetic field between two equally magnetized plates?

The direction of the magnetic field between two equally magnetized plates can be determined using the right-hand rule. Point your thumb in the direction of the current flow and your fingers will curl in the direction of the magnetic field.

3. What is the relationship between magnetic field strength and distance between two equally magnetized plates?

The relationship between magnetic field strength and distance between two equally magnetized plates is inverse square. This means that as the distance between the plates increases, the magnetic field strength decreases exponentially.

4. How does the energy between two equally magnetized plates change as the distance between them is increased?

The energy between two equally magnetized plates decreases as the distance between them is increased. This is because the magnetic field strength decreases as the distance increases, and energy is directly proportional to magnetic field strength.

5. Can the magnetic field between two equally magnetized plates be affected by external factors?

Yes, the magnetic field between two equally magnetized plates can be affected by external factors such as the presence of other magnetic fields or the orientation of the plates. These factors can alter the direction and strength of the magnetic field between the plates.

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