Question

A large conducting plane has a surface charge density 1·0×10-4 C m-2. Find the electrostatic energy stored in a cubical volume of edge 1⋅0 cm in front of the plane.

Answer 1

Answer:

Sorry I can't answer to your question

Answer 2

The electrostatic energy stored in a cubical volume of edge 1⋅0 cm in front of the plane is equal to the 5.65 X $10^{-4}$ J

Explanation:

$Given,$

The surface density of the plane,

$\sigma=1.0 \times 10^{-4} \frac{C}{m^{2}}$

Volume of the cube,

$V=a^{3}=10^{-6} \mathrm{m}^{3}$

Electric field near the charged conducting plane is given by

$E=\frac{\sigma}{\epsilon_{0}}$                      

Energy Density of the Electric field,

$u=\frac{1}{2} \in_{0} E^{2}$

$u=\frac{1}{2} \in_{0}\left(\frac{\sigma}{\epsilon_{0}}\right)^{2}$

$u=\frac{1}{2} \frac{\sigma^{2}}{\epsilon_{0}}$

$u=\frac{1}{2} \times \frac{\left(1.0 \times 10^{-4}\right)^{2}}{8.85 \times 10^{-12}}$

$u=0.056 \times 10^{4} \frac{j}{m^{3}}$

Volume =  $10^{-6} \mathrm{m}^{3}$

$U=u \times V$

$U=0.056 \times 10^{4} \times 10^{-6}$

$U=5.6 \times 10^{-4} J$