At a Particular Point and Instant, the Magnetic Field Component $15.0$

Multiple Choice

At a particular point and instant, the magnetic field component of an electromagnetic wave is $15.0$ $\mu \mathrm { T }$ . What is the magnetic energy density of this wave at that point and instant? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right.$ , $\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A) $2.26 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
B) $4.47 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
C) $1.79 \times 10 ^ { - 4 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
D) $8.95 \times 10 ^ { - 5 } \mathrm {~J} / \mathrm { m } ^ { 3 }$
E) $9.72 \times 10 ^ { - 5 } \mathrm {~J} / \mathrm { m } ^ { 3 }$