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Chapter 4: Q21E (page 1014)

In a proton accelerator used in elementary particle physics experiments, the trajectories of protons are controlled by bending magnets that produce a magnetic field of4.8T. What is the magnetic-field energy in a10cm2volume of space wherelocalid="1664180224552" B=4.8T?

Short Answer

Expert verified

The energy is91.7J.

Step by step solution

01

The formulas involved in the problem

The energy density is given byu=B22μ0or the energy density is energy per volume.

02

Use the formulas to calculate energy

Given thatB=4.8TandV=10cm3. The energy density is given by

u=B22μ0u=4.822×4π×10-7u=9.167×106J/m3

Since, the energy density is the energy divided by the volume, multiply energy density with the volume to find the energy.

U=uVU=9.167×106×10×10-6U=91.7J

So, the energy is 91.7J.

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