Prove E field does not depend on dielectric (capacitors)

In summary, an electric field is a physical field created by electric charges that exerts a force on other charged particles. A dielectric is a material that does not conduct electricity easily and is often used as an insulator. The electric field in a capacitor is not affected by the dielectric material, but rather by the charge and distance between the plates. Changing the dielectric material in a capacitor will affect its capacitance, but not the electric field. External factors, such as other electric charges or magnetic fields, can affect the electric field in a capacitor, but not the dielectric material.
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Homework Statement


"Show that the variation of the potential between the plates of a large parallel plate capacitor remains the same if the air between the plates is replaced by a conductive medium."

Homework Equations


E = σ/ϵ0 ; C = ϵ0A/d ' C = Q/V ; E = -dV/dx ; R = ρl/A

The Attempt at a Solution


I've tried a lot of different things, substituting and replacing variables in the equation to try and get ρ to cancel out, but... I honestly have no idea.
 
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Post a couple of the attempts, and maybe someone can point you in the right direction.
 

Related to Prove E field does not depend on dielectric (capacitors)

What is an electric field?

An electric field is a physical field that surrounds electrically charged particles and exerts a force on other charged particles within its vicinity. It is created by electric charges and is responsible for many phenomena, such as electricity and magnetism.

What is a dielectric?

A dielectric is a material that does not conduct electricity easily and is often used as an insulator. Some common examples of dielectric materials are glass, rubber, and plastic.

Why does the electric field not depend on the dielectric material in capacitors?

The electric field in a capacitor is created by the buildup of opposite charges on the two plates. These charges are held in place by the insulating dielectric material. Therefore, the electric field is determined by the charge and distance between the plates, and not by the dielectric material itself.

How is the electric field affected by changing the dielectric material in a capacitor?

If the dielectric material in a capacitor is changed, the capacitance (ability to store charge) of the capacitor will be affected. However, the electric field will remain the same as long as the charge and distance between the plates remain constant.

Can the electric field be affected by external factors even though it does not depend on the dielectric material?

Yes, the electric field can be affected by external factors such as the presence of other electric charges or magnetic fields. However, the dielectric material itself does not directly affect the strength of the electric field in a capacitor.

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