Electric field intensity and electric field are related concepts but they are not exactly the same. Here's a detailed explanation of each:
### Electric Field
**Electric Field (E-field)** is a fundamental concept in electromagnetism. It represents the force per unit charge experienced by a test charge placed at a point in space. Mathematically, the electric field \( \mathbf{E} \) due to a source charge \( Q \) at a distance \( r \) from it is given by:
\[ \mathbf{E} = \frac{F}{q} \]
where:
- \( F \) is the force experienced by the test charge \( q \).
In a more general sense, the electric field \( \mathbf{E} \) can be derived from the electric potential \( V \) by the gradient:
\[ \mathbf{E} = -\nabla V \]
### Electric Field Intensity
**Electric Field Intensity** is essentially another term for the electric field itself. It refers to the strength of the electric field at a given point in space. The term "intensity" in this context emphasizes the magnitude of the electric field.
### Summary
- **Electric Field** (or Electric Field Intensity) is a vector field that describes the force exerted per unit charge at any point in space due to the presence of electric charges.
- The terms "Electric Field" and "Electric Field Intensity" are often used interchangeably to refer to the same concept: the vector quantity that describes how strong and in which direction the electric force is acting on a charge at a specific point in space.
So, in most contexts, "electric field intensity" and "electric field" refer to the same concept, with "electric field intensity" sometimes used to emphasize the magnitude aspect.