Charge Distribution on Plates & Self Potential Energy

Charge distribution on parallel plates||Examples

In the region of space between the plates of a parallel-plate capacitor there is a uniforrnly distributed positive charge with a volurne density p. The plates are connected electrically and their potential is set at zero. Calculate and draw a sketch of the distributions of the potential and electric field strength between the plates.

Earthing OF Conductors || Parallel Plate Charge Distribution || Examples on Earthing & Parallel Plates

A charge q is distributed uniformly throughout a non-conducting spherical volume of radius R.(a) Show that the potential at a distance x from the centre when x lt R is given by V=(q(3R^(2)-x^(2)))/(8piepsilonR^(3)) and the self potential energy of the charge distributed is U=(3q^(2))/(20piepsilonR). [Hint: Calculate the potentials due to the charge inside the concentric sphere through the point and due to the charge in the outer portion and add. The calculate self potential energy first calculate the elementary work done in building the charge in shell of thckness dz over a sphere of radius z and then integrate from z=0 to z=R.]

Rank the work required to assemble the charge distribution below from leats to greatest. In all cases, the separation between the middle charge and the outer charges are the same. Use a reference of zero potential energy at oo .

Conducting Plate/Sphere||Charge Distribution||Earthing of Conductor

Potential due to continuous charge distribution and self energy

The potential enery of a charged parallel plate capacitor is U_(0) . If a slab of dielectric constant K is inserted between the plates, then the new potential energy will be

A charge Q is uniformly distributed inside a non- conducting sphere of radius R . Find the electric potential energy stored in the system.

A charge is moved in an electric field of a fixed charge distribution from point A to another point B slowly. The work done by external agent in doing so is 100J . What is the change in potential energy of the charge as it moves from A to B ? What is the work done by the electric field of the charge distribution as the charge moves from A to B ?