Physics, asked by vickysheoran002, 9 months ago

Write the expression for energy density of
electric field 'E' in free space.​

Answers

Answered by shivamchavan2003843
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 waquasarr
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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