A cylindrical volume of space contains a uniform magnetic field of magnitude (0.12 mathrm{~T}) but unknown direction.

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A cylindrical volume of space contains a uniform magnetic field of magnitude \(0.12 \mathrm{~T}\) but unknown direction. If the dimensions of the cylindrical volume are length \(\ell=0.060 \mathrm{~m}\) and radius \(R=0.040 \mathrm{~m}\), how much \(\mathrm{mag}\) netic potential energy is stored in the field?

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