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.

Given,

Surface charge density,σ1.0 × 10–4 C m–2

Edge length of the cube, e=1.0 cm=0.01m

Permittivity of free space, ε0= 8.85×10-12 F/m

Formula used

For a conducting plate infinite length), the electric field, E is,

And the electrostatic energy density or the energy per volume is,

Substituting eqn.1 in eqn.2 will result in,

Now the energy stored in volume V is

In the problem, we have to find the force inside a cube of edge e length.

So, we replace V with e3 in eqn.3

So,

Now, substituting the known values in the above equation, it becomes,

Or,

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Combination of capacitors46 mins
Interactive Quiz on Combination of capacitors49 mins
How does combination of capacitors work?34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses