UNOPAR Electrodynamics Coulomb's Law and Electric Field Summary
Coulomb’s Law for Point Charges
- Image representation:
- Formula, where k is a constant with value of 8.9875 × 109 N·m2/C2:
- More about Coulomb's constant (formula):
Where ε is the permittivity.
- Permittivity:
Of free space:
If a dielectric material is present:
For k, we have its value as 1 in the vacuum and 1.0006 in the air.
, - Coulomb’s Law Vector Form:
For n charges the formula can be deduced as:
Electric Field
- Mathematical Representation:
Due to the Electric Field being considered an three-dimensional vector field, it
may be represented this way:
Its definition says it is the limit of the force on a point charge q (that goes to
zero), divided by the point charge.
Advancing on the topic, we use the density function (p) for extending the
Coulomb’s Law to be applicable with continuous charge distribution.
It is always good to remember that Electric Fields can not only be
represented by abstract mathematical equations, but also using points
of charge.
Coulomb’s Law for Point Charges
- Image representation:
- Formula, where k is a constant with value of 8.9875 × 109 N·m2/C2:
- More about Coulomb's constant (formula):
Where ε is the permittivity.
- Permittivity:
Of free space:
If a dielectric material is present:
For k, we have its value as 1 in the vacuum and 1.0006 in the air.
, - Coulomb’s Law Vector Form:
For n charges the formula can be deduced as:
Electric Field
- Mathematical Representation:
Due to the Electric Field being considered an three-dimensional vector field, it
may be represented this way:
Its definition says it is the limit of the force on a point charge q (that goes to
zero), divided by the point charge.
Advancing on the topic, we use the density function (p) for extending the
Coulomb’s Law to be applicable with continuous charge distribution.
It is always good to remember that Electric Fields can not only be
represented by abstract mathematical equations, but also using points
of charge.
