- #1
ashworcp
- 10
- 0
Homework Statement
Use V=kq/r, E(x) = V/x, E(y) = V/y, E(z) = V/z to derive an expression for the electric field at a point charge q.
E(r) = ?
Homework Equations
E= F/Q
If it is asking for the electric field of a point charge at the centre of this point, the answer is that it is undefined in classical electrodynamics. Quantum effects apply.ashworcp said:Use V=kq/r, E(x) = V/x, E(y) = V/y, E(z) = V/z to derive an expression for the electric field at a point charge q.
E= F/Q
The electric field is a measure of the force experienced by a charged particle at a given point in space. It is defined as the force per unit charge, and is represented by the symbol E.
A point charge is an idealized object that has all its charge concentrated at a single point in space. It is used in theoretical calculations to simplify the analysis of electric fields.
To derive the equation, we use Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. By setting the force equal to the electric field times the charge of the test particle, we can solve for the electric field at a point charge.
The key factors that affect the electric field at a point charge are the magnitude and sign of the point charge, as well as the distance from the point charge. The electric field is stronger for larger point charges and weaker for smaller ones, and it decreases as the distance from the point charge increases.
Yes, the equation for the electric field at a point charge can be used as a building block for calculating the electric field at any point in space, regardless of the charge distribution. By breaking down a larger charge distribution into smaller point charges, we can use the superposition principle to find the total electric field at a given point.