Magnetic Field and range of potential energy

In summary, a wire with a radius of 0.02m and carrying a current of 5A is placed in a uniform magnetic field of 1*10^-4. The range of potential energy for different orientations can be calculated using the equation torque=BIA and integrating it with respect to the angle between the field and the area. The resulting function will give the potential energy.
  • #1
anonymousphys
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Homework Statement


A wire is formed into a circle having a radius of .02m and placed in a uniform magnetic field of 1*10^-4. A current of 5A passes through the wire. What is the range of potential energy the wire possesses for different orientations?


Homework Equations


torque=BIA



The Attempt at a Solution



The answer is 2BIA. However, I am not sure how to relate torque to potential energy in this scenario.
 
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  • #2
torque is actually equal to BIAsin(theta), where theta is the angle between the field and the area. Potential energy is just the integral of -Td(theta), so find the function for potential energy and go from there.
 

FAQ: Magnetic Field and range of potential energy

What is a magnetic field?

A magnetic field is a region of space where magnetic materials, such as iron or steel, experience a force. It is created by moving electric charges, such as those found in electric currents.

How is a magnetic field measured?

A magnetic field is measured in units of Tesla (T) or Gauss (G), with 1 T = 10,000 G. It can be measured using a device called a magnetometer, which detects the strength and direction of the magnetic field.

What is the range of potential energy in a magnetic field?

The range of potential energy in a magnetic field depends on the strength of the field and the distance between the magnetic objects. The closer the objects are, the higher the potential energy will be. The potential energy also increases as the strength of the magnetic field increases.

How does a magnetic field affect charged particles?

A magnetic field can exert a force on a charged particle, causing it to move in a circular or helical path. This is known as the Lorentz force. The strength and direction of the force depend on the charge, velocity, and direction of the particle in relation to the magnetic field.

Can a magnetic field be shielded?

Yes, a magnetic field can be shielded using materials that are highly permeable to magnetic fields, such as iron or steel. These materials redirect the magnetic field lines, reducing its strength in the shielded area. This is commonly used in electronic devices to prevent interference from external magnetic fields.

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