What is the magnetic-field energy in a given volume with B = 3.50T?

In summary, the question asks for the magnetic-field energy in a 10.0cm3 volume of space where B = 3.50T. Using the equation u = B2/2μ0, the correct answer should be in Joules, not Joules/m^3. The correct energy density is 4.87*106 J/m3, and to find the energy, we must multiply this by the volume of the space.
  • #1
Jack_M
6
0

Homework Statement


What is the magnetic-field energy in a 10.0cm3 volume of space where B = 3.50T?

Homework Equations


u = B2/2μ0

The Attempt at a Solution


Using the equation I got an answer of 4.87*105 J/m3 which is incorrect
 
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  • #2
It doesn't ask for the energy density, which is what you gave. It asks for the energy, so your final answer should be in Joules, not Joules/m^3.
 
  • #3
phyzguy said:
It doesn't ask for the energy density, which is what you gave. It asks for the energy, so your final answer should be in Joules, not Joules/m^3.
Should an answer using that formula along with those units be correct, though? I only have 2 more submissions available.
 
  • #4
Jack_M said:
Should an answer using that formula along with those units be correct, though? I only have 2 more submissions available.
Yes, you're on the right track. You have calculated the energy density almost correctly. I got 4.87*106 J/m3, so one of us made a mistake. Then how do you go from energy density to energy?
 
  • #5
Oh I see now. I should multiply by the volume of the space correct?
 
  • #6
Yes.
 

FAQ: What is the magnetic-field energy in a given volume with B = 3.50T?

What is magnetic-field energy?

Magnetic-field energy is the potential energy stored in a magnetic field. It is a form of energy that results from the movement of electrically charged particles.

How is magnetic-field energy measured?

Magnetic-field energy is measured in units of joules (J) or ergs (erg). It can also be measured in units of tesla (T) or gauss (G) for the strength of the magnetic field.

What are some real-life applications of magnetic-field energy?

Magnetic-field energy is used in a variety of everyday devices such as electric motors, generators, and transformers. It is also used in medical imaging machines like MRI scanners and in various industrial processes.

How is magnetic-field energy related to electromagnetic waves?

Magnetic-field energy and electromagnetic waves are closely related. Electromagnetic waves are made up of oscillating electric and magnetic fields, and the energy of these waves is carried by the electric and magnetic fields.

Can magnetic-field energy be converted into other forms of energy?

Yes, magnetic-field energy can be converted into other forms of energy. For example, when an electric motor is powered by a magnetic field, it converts the magnetic-field energy into mechanical energy to produce motion.

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