Problem 5: Assume the magnitude of the magnetic field inside a sphere of radius R | 0.34 m, at a distance r from the center, is B(r)-Bo(r/R), where Bo-0. 74 T. Part (a) Express the energy density, u(r), of the magnetic field inside the sphere in terms of B(r) u(r) - B(r)-2 2μ0 Correct! Part (b) Express the magnetic field energy, U, inside the sphere in terms of B, and R 5Ho Correct Part (c) Calculate the value of U, in joules.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
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Problem 5:
Assume the magnitude of the magnetic field inside a sphere of radius R
| 0.34 m, at a distance r from the center, is B(r)-Bo(r/R), where Bo-0. 74 T.
Part (a) Express the energy density, u(r), of the magnetic field inside the sphere in terms of
B(r)
u(r) - B(r)-2
2μ0
Correct!
Part (b) Express the magnetic field energy, U, inside the sphere in terms of B, and R
5Ho Correct
Part (c) Calculate the value of U, in joules.
Transcribed Image Text:Problem 5: Assume the magnitude of the magnetic field inside a sphere of radius R | 0.34 m, at a distance r from the center, is B(r)-Bo(r/R), where Bo-0. 74 T. Part (a) Express the energy density, u(r), of the magnetic field inside the sphere in terms of B(r) u(r) - B(r)-2 2μ0 Correct! Part (b) Express the magnetic field energy, U, inside the sphere in terms of B, and R 5Ho Correct Part (c) Calculate the value of U, in joules.
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