SSC JE Electrical Engineering 23 Jan 2018 Morning Paper

Question : 106 of 200

Marks: +1, -0

The two metal plates having an area of 50 sq. m are separated by a dielectric material having thickness of 4 mm and relative permittivity of 9. Calculate the capacitance (in micro-farad) across the metal plates.

0.5
0.996
1.76
2.1

Validate

Solution:

Given data
A = 50 sqm
d = 4 mm = 4× 10

^{–3}

∈_r = 9

C = ?
Now

C={∈_0∈_rA}/d

=({9×50}/{4×10^{-3}})({8.85×10^{-12}×9×50}/{4×10^{-3}})

= 0.996 µf

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