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Two parallel plates have equal and opposite charges. When the space between the plates is evacuated,...

Two parallel plates have equal and opposite charges. When the space between the plates is evacuated, the electric field is E= 3.10×105 V/m . When the space is filled with dielectric, the electric field is E= 2.40×105 V/m .

What is the charge density on each surface of the dielectric and the dielectric constant?

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Answer #1

Given,

E = 3.1 x 10^5 V/m; Ek = 2.4 x 10^5 V/m

The induced field will be:

Ei = (3.1 - 2.4) x 10^5 = 7 x 10^4 V/m

Ei = sigma/e0 => sigma = E e0

Ei = 7 x 10^4 x 8.85 x 10^-12 = 6.19 x 10^-7 C/m^2

Hence, Ei = 6.19 x 10^-7 C/m^2

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