Electric field strength, often referred to as **electric field intensity** or simply **electric field**, is a vector quantity that represents the force per unit charge experienced by a small positive test charge placed in the field. It describes how strong the electric field is at a specific point in space and the direction of the force acting on a positive charge.
Mathematically, the electric field strength **E** is defined as:
\[
\mathbf{E} = \frac{\mathbf{F}}{q}
\]
Where:
- **E** is the electric field strength (measured in newtons per coulomb, N/C, or volts per meter, V/m),
- **F** is the force experienced by the test charge (in newtons, N),
- **q** is the magnitude of the test charge (in coulombs, C).
The electric field strength at a point due to a point charge **Q** is given by Coulomb’s law:
\[
\mathbf{E} = \frac{k Q}{r^2}
\]
Where:
- **k** is Coulomb’s constant (approximately \( 8.99 \times 10^9 \, \text{N·m}^2/\text{C}^2 \)),
- **Q** is the charge creating the field,
- **r** is the distance from the charge to the point of interest.
The direction of the electric field is always away from positive charges and toward negative charges.