If the magnetic field in a traveling electromagnetic wave has a maximum value of $16.5 \mathrm { nT }$, what is the maximum value of the electric field associated with this wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$
A) $55.0 \times 10 ^ { - 16 } \mathrm {~V} / \mathrm { m }$
B) $4.95 \mathrm {~V} / \mathrm { m }$
C) $55.0 \times 10 ^ { - 15 } \mathrm {~V} / \mathrm { m }$
D) $5.5 \times 10 ^ { - 17 } \mathrm {~V} / \mathrm { m }$
E) $0.495 \mathrm {~V} / \mathrm { m }$

Question

Quizplus · Accepted Answer

The maximum value of the electric field $E_{\text{max}}$ in an electromagnetic wave is related to the maximum value of the magnetic field $B_{\text{max}}$ by the equation $E_{\text{max}} = cB_{\text{max}}$, where $c$ is the speed of light ($3.00 \times 10^8 \, \text{m/s}$). Substituting $B_{\text{max}} = 16.5 \, \text{nT} = 16.5 \times 10^{-9} \, \text{T}$, we get $E_{\text{max}} = (3.00 \times 10^8) \times (16.5 \times 10^{-9}) = 4.95 \, \text{V/m}$.

If the Magnetic Field in a Traveling Electromagnetic Wave Has 16.5nT16.5 \mathrm { nT }16.5nT

If the Magnetic Field in a Traveling Electromagnetic Wave Has $16.5 \mathrm { nT }$