Electric Flux Through Hollow Surface: Does εr Matter?

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In summary, electric flux through a hollow surface is the measure of the total electric field passing through the surface and is calculated by taking the dot product of the electric field and the surface area vector. The permittivity constant (εr) is a material property that affects the electric flux through a hollow surface and can be changed by choosing a different material or by applying an external electric field.
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hacker804
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Hi.
I want to ask a question that does the electric flux passing through a hollow surface depends on the nature of the surface?That is does it depend on the relative permittivity of the surface εr??

Please clear my confusion thanks .
 
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Yes it does.

The electric field from the source will displace charges across the thickness of the surface. The displaced charges create an "induced electric field" across the thickness, which affects the electric flux through the surface.
 

FAQ: Electric Flux Through Hollow Surface: Does εr Matter?

What is electric flux through a hollow surface?

Electric flux through a hollow surface is the measure of the total electric field passing through the surface. It is a measure of how much electric field is passing through the surface, and is represented by the symbol ΦE.

How is electric flux through a hollow surface calculated?

The electric flux through a hollow surface is calculated by taking the dot product of the electric field and the surface area vector. This can be represented by the equation ΦE = E * A * cosθ, where E is the electric field, A is the surface area, and θ is the angle between the electric field and the surface area vector.

What is the significance of the permittivity constant (εr) in electric flux through a hollow surface?

The permittivity constant (εr) is a material property that describes how easily electric fields can pass through a material. It is used in the calculation of electric flux through a hollow surface to account for the effect of the material on the electric field passing through it.

Does the permittivity constant (εr) affect the electric flux through a hollow surface?

Yes, the permittivity constant (εr) does affect the electric flux through a hollow surface. A higher εr value means that the material is more easily polarized, which can result in a stronger electric field passing through the surface.

How can the permittivity constant (εr) be changed to affect the electric flux through a hollow surface?

The permittivity constant (εr) can be changed by changing the material of the hollow surface. Different materials have different εr values, so choosing a material with a higher or lower εr can affect the electric flux through the surface. Additionally, the εr value can also be changed by applying an external electric field to the material, a process known as dielectric polarization.

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