What is the SI unit of electric flux?
2 Answers
The SI unit of electric flux is the **volt-meter (V·m)**.
Electric flux (\(\Phi\)) is a measure of the electric field passing through a given area. It is mathematically defined as:
\[ \Phi = \mathbf{E} \cdot \mathbf{A} \cdot \cos(\theta) \]
where:
- \(\mathbf{E}\) is the electric field strength (in volts per meter, V/m),
- \(\mathbf{A}\) is the area through which the field lines pass (in square meters, m²),
- \(\theta\) is the angle between the field lines and the normal to the surface.
The unit of electric field strength is volts per meter (V/m), and the unit of area is square meters (m²). Therefore, the unit of electric flux is:
\[ \text{Unit of Electric Flux} = \text{(V/m)} \times \text{(m²)} = \text{V} \cdot \text{m} \]
Electric flux (\(\Phi\)) is a measure of the electric field passing through a given area. It is mathematically defined as:
\[ \Phi = \mathbf{E} \cdot \mathbf{A} \cdot \cos(\theta) \]
where:
- \(\mathbf{E}\) is the electric field strength (in volts per meter, V/m),
- \(\mathbf{A}\) is the area through which the field lines pass (in square meters, m²),
- \(\theta\) is the angle between the field lines and the normal to the surface.
The unit of electric field strength is volts per meter (V/m), and the unit of area is square meters (m²). Therefore, the unit of electric flux is:
\[ \text{Unit of Electric Flux} = \text{(V/m)} \times \text{(m²)} = \text{V} \cdot \text{m} \]