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

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Homework Help Overview

The problem involves calculating the magnetic-field energy in a specified volume where the magnetic field strength is given as B = 3.50T. The context is rooted in electromagnetism, specifically focusing on magnetic energy density and its relation to total energy.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the distinction between energy density and total energy, questioning the correct interpretation of the problem statement. There is an exploration of how to convert energy density to total energy using the volume provided.

Discussion Status

The discussion is ongoing, with participants clarifying the difference between energy density and total energy. Some guidance has been offered regarding the calculation process, specifically the need to multiply the energy density by the volume to find the total energy.

Contextual Notes

There is a concern about the correctness of calculations and the limited number of submissions available for the original poster, which may impact their approach to resolving the problem.

Jack_M
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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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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.
 
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.
 
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?
 
Oh I see now. I should multiply by the volume of the space correct?
 
Yes.
 

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