Write the expression for energy density of
electric field 'E' in free space.
Answers
Answered by
1
Answer:
Inside this volume the electric field is approximately constant and outside of this volume the electric field is approximately zero. We interpret uE = ½ε0E2 as the energy density, i.e. the energy per unit volume, in the electric field.
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Answered by
0
Answer:
For the electric field, the energy density is
\begin{displaymath}
w_E = \frac{1}{2}\,\epsilon_0\,E^2 =
(0.5)\,(8.85\times 10^{-12}) \,(2.0\times 10^6)^2 = 18\,\,{\rm J\,m}^{-3}.
\end{displaymath}
For the magnetic field, the energy density is
\begin{displaymath}
w_B = \frac{1}{2} \,\frac{B^2}{\mu_0} = \frac{(0.5)\,(1.0\times 10^{-2})^2}
{(4\pi\times 10^{-7})} = 40\,\,{\rm J\,m}^{-3}.
\end{displaymath}
The net energy density is the sum of the energy density due to the electric field and the energy density due to the magnetic field:
\begin{displaymath}
w = w_E + w_B = (18 + 40) = 58\,\,{\rm J\,m}^{-3}.
\end{displaymath}
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