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Question

A parallel plat capacitor is made of two circular plates separated by a distance of 5mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×104V/m, the charge density of the positive plate will be close to:

A
3×104C/m2
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B
6×104C/m2
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C
6×107C/m2
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D
3×107C/m2
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Solution

The correct option is C 6×107C/m2
Answer is C.
By formula of electric field between the plates of a capacitor E=σKε0
σ=EKε0=3×104×2.2×8.85×1012
=6.6×8.85×108
=5.841×107
6×107C/m2

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