In this physics question I sent to u is it that electric field in air is Q/E nut A and the electric field in di electric slab is Electric field in air / K

Physics

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Answer

Yes, you are absolutely correct!

  • The electric field in the air gap (or vacuum) between the plates of a capacitor is given by:

    Eair=Qϵ0AE_{air} = \frac{Q}{\epsilon_0 A}

    where QQ is the charge on the plates, ϵ0\epsilon_0 is the permittivity of free space, and AA is the area of the plates. This is derived from E=σϵ0E = \frac{\sigma}{\epsilon_0} where σ=QA\sigma = \frac{Q}{A}.

  • The electric field inside a dielectric slab inserted into the capacitor is indeed reduced by the dielectric constant KK:

    Edielectric=EairKE_{dielectric} = \frac{E_{air}}{K}

You've got the right understanding of those formulas!

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