Question

How do you find the electric field between two plates?

Answer 1

Explanation:

The electric field between two parallel plates:

1. Place two parallel conducting plates $AandB$ with a little space between them filled with air or another electrical insulator. Connect a power supply to the two parallel plates ( a battery, for example).
2. Plate $A$will be positively charged with a uniform charge density of $+Q$ when it is connected to the positive pole of the power source.
3. In contrast, plate $B$, which is attached to the power source's negative pole, will have a constant charge density of $-Q$ and be negatively charged.
4. Since an electric insulator separates the two charged parallel plates, they would carry their combined charges.
5. A homogeneous electric field is produced in the area between the two parallel charged plates because they are kept away from one another. Straight lines perpendicular to the surfaces of both plates and carrying arrows pointing from $+QplateAto-QplateB$can be used to illustrate the electric field lines of two parallel plates.
6. On the one hand, Gauss's law states that the electric field between two parallel plates is dependent on the density of the charge and the medium permittivity. Contrarily, Coulomb's law states that the same electric field between two parallel conducting plates relies on their respective electric potentials or voltages as well as their distance from one another.
7. Since d is the distance between the two charged plates, the electric field is therefore given by $E=\frac{V}{d}$
8. Since it is obvious that the electric field between two parallel, oppositely charged plates is inversely proportional to distance, the electric field will increase as the two plates are brought closer together. Due to the difference in the number of charges carried by the two conducting plates, the evenly and oppositely charged two parallel plates can store electric potential energy.
9. The electric field in the space between two parallel, like-charged plates is equal to zero. When two parallel plates are both positively or negatively charged, the charges resist one another, producing two opposing electric fields in the space between the two plates.
10. two similarly charged plates thereby defeat the goal of using a system of two charged parallel plates as a storage device for electric potential energy.