JEE Main | 2014CapacitanceHard

Question

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

Options

A.6 × 10-7 C/m2
B.3 × 10-7 C/m2
C.3 × 104 C/m2
D.6 × 104 C/m2

Solution

E =
σ = Kε0 E
= 2.2 × 8.85 × 10-12 × 3 × 104 ≈ 6 × 10-7 C/m2

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