Physics electric field problem

In summary, the problem asks for an expression for the electric field at a given height above an infinitely long sheet of charge with a constant surface charge density. The expression will involve the variables n, L, z, and the unit vector k, as well as appropriate constants. The solution will involve an improper integral, as the book only provides explanations for finite planes.
  • #1
kirakyoumou
2
0
An infinitely long sheet of charge of width L lies in the xy-plane between x = - L/2 and x = L/2. The surface charge density is n. Derive an expression for the electric field E at height z above the centerline of the sheet. (Assume that z \ge 0.)

Express your answer in terms of the variables n, L, z, unit vector k, and appropriate constants.
 
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  • #2
What have you tried?
 
  • #3
I don't even know where to start. My book only gives explanations for FINITE planes. :( I know that I'll have to use an improper integral but...idk anything else.
 
  • #4
What is the expression used to calculate E for a finite surface?
 

1. What is an electric field?

An electric field is a physical quantity that describes the influence that an electric charge has on other charges in its vicinity. It is a vector field, which means it has both magnitude and direction.

2. How is the electric field calculated?

The electric field is calculated by dividing the force exerted on a test charge by the magnitude of the test charge. It is also influenced by the distance between the charges and the medium between them.

3. What is the difference between an electric field and an electric potential?

The electric field is a vector quantity that describes the force per unit charge at a given point, while electric potential is a scalar quantity that describes the electric potential energy per unit charge at a given point. In simpler terms, the electric field tells you how strong the force is, while the electric potential tells you how much energy is stored.

4. How does the direction of an electric field relate to the direction of the force on a charge?

The direction of an electric field is the direction that a positive test charge would move if placed in the field. The direction of the force on a charge is in the opposite direction of the electric field. This means that if the electric field points towards the left, the force on a positive charge would be towards the right.

5. Can the strength of an electric field be changed?

Yes, the strength of an electric field can be changed by altering the magnitude or distance of the charges creating the field. It can also be affected by the material through which the field passes, as some materials have a higher or lower permittivity which affects the strength of the field.

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