A Large Electromagnet Has A $22 \mathrm {~T}$ Magnetic Field Between Its Poles

A large electromagnet has a $22 \mathrm {~T}$ magnetic field between its poles. What is the magnetic energy density in that region of space? $\left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)$

A) $88 \mathrm {~J} / \mathrm { cm } ^ { 3 }$
B) $190 \mathrm {~J} / \mathrm { cm } ^ { 3 }$
C) $240 \mathrm {~J} / \mathrm { cm } ^ { 3 }$
D) $30,000 \mathrm {~J} / \mathrm { cm } ^ { 3 }$

Correct Answer:

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