Electric flux is a concept in electromagnetism that describes the total number of electric field lines passing through a closed surface. The electric field lines are an abstract representation used to visualize the direction and intensity of the electric field around electrically charged objects.
When an electric field exists around a charged object, electric field lines emanate from positive charges and terminate on negative charges. The electric flux passing through a surface is directly related to the strength of the electric field and the surface's orientation with respect to the electric field lines.
The electric flux [tex]\[ \Phi_E \][/tex] through a closed surface is calculated by taking the dot product of the electric field vector E and the area vector A of the surface:
- E is the electric field vector at each point on the surface.
- dA is a differential area vector representing the direction and magnitude of the elemental area on the surface.
- The integral is taken over the entire closed surface.
If the electric field is uniform over the surface, the electric flux can be calculated simply by multiplying the magnitude of the electric field E by the total area A of the surface and the cosine of the angle between the electric field and the normal to the surface:
[tex]\[ \Phi_E = E \cdot A \cdot \cos \theta \][/tex]
The unit of electric flux is volt-meter (V·m) or newton-meter squared per coulomb (N·m²/C). Electric flux is a fundamental concept used in Gauss's Law and various other electromagnetism applications to understand the behavior of electric fields and charged objects.
Electric flux is a concept in electromagnetism that describes the total number of electric field lines passing through a closed surface. The electric field lines are an abstract representation used to visualize the direction and intensity of the electric field around electrically charged objects.
When an electric field exists around a charged object, electric field lines emanate from positive charges and terminate on negative charges. The electric flux passing through a surface is directly related to the strength of the electric field and the surface's orientation with respect to the electric field lines.
The electric flux \Phi_EΦ
E
through a closed surface is calculated by taking the dot product of the electric field vector E and the area vector A of the surface:
\Phi_E = \int \mathbf{E} \cdot \mathbf{dA}Φ
E
=∫E⋅dA
where:
- E is the electric field vector at each point on the surface.
- dA is a differential area vector representing the direction and magnitude of the elemental area on the surface.
- The integral is taken over the entire closed surface.
If the electric field is uniform over the surface, the electric flux can be calculated simply by multiplying the magnitude of the electric field E by the total area A of the surface and the cosine of the angle between the electric field and the normal to the surface:
\Phi_E = E \cdot A \cdot \cos \thetaΦ
E
=E⋅A⋅cosθ
The unit of electric flux is volt-meter (V·m) or newton-meter squared per coulomb (N·m²/C). Electric flux is a fundamental concept used in Gauss's Law and various other electromagnetism applications to understand the behavior of electric fields and charged objects.
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Electric flux is a concept in electromagnetism that describes the total number of electric field lines passing through a closed surface. The electric field lines are an abstract representation used to visualize the direction and intensity of the electric field around electrically charged objects.
When an electric field exists around a charged object, electric field lines emanate from positive charges and terminate on negative charges. The electric flux passing through a surface is directly related to the strength of the electric field and the surface's orientation with respect to the electric field lines.
The electric flux [tex]\[ \Phi_E \][/tex] through a closed surface is calculated by taking the dot product of the electric field vector E and the area vector A of the surface:
[tex]\[ \Phi_E = \int \mathbf{E} \cdot \mathbf{dA} \][/tex]
where:
- E is the electric field vector at each point on the surface.
- dA is a differential area vector representing the direction and magnitude of the elemental area on the surface.
- The integral is taken over the entire closed surface.
If the electric field is uniform over the surface, the electric flux can be calculated simply by multiplying the magnitude of the electric field E by the total area A of the surface and the cosine of the angle between the electric field and the normal to the surface:
[tex]\[ \Phi_E = E \cdot A \cdot \cos \theta \][/tex]
The unit of electric flux is volt-meter (V·m) or newton-meter squared per coulomb (N·m²/C). Electric flux is a fundamental concept used in Gauss's Law and various other electromagnetism applications to understand the behavior of electric fields and charged objects.
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Electric flux is a concept in electromagnetism that describes the total number of electric field lines passing through a closed surface. The electric field lines are an abstract representation used to visualize the direction and intensity of the electric field around electrically charged objects.
When an electric field exists around a charged object, electric field lines emanate from positive charges and terminate on negative charges. The electric flux passing through a surface is directly related to the strength of the electric field and the surface's orientation with respect to the electric field lines.
The electric flux \Phi_EΦ
E
through a closed surface is calculated by taking the dot product of the electric field vector E and the area vector A of the surface:
\Phi_E = \int \mathbf{E} \cdot \mathbf{dA}Φ
E
=∫E⋅dA
where:
- E is the electric field vector at each point on the surface.
- dA is a differential area vector representing the direction and magnitude of the elemental area on the surface.
- The integral is taken over the entire closed surface.
If the electric field is uniform over the surface, the electric flux can be calculated simply by multiplying the magnitude of the electric field E by the total area A of the surface and the cosine of the angle between the electric field and the normal to the surface:
\Phi_E = E \cdot A \cdot \cos \thetaΦ
E
=E⋅A⋅cosθ
The unit of electric flux is volt-meter (V·m) or newton-meter squared per coulomb (N·m²/C). Electric flux is a fundamental concept used in Gauss's Law and various other electromagnetism applications to understand the behavior of electric fields and charged objects.