The capacitance of a parallel plate capacitor having two plates of area A = 200 cm2 and separated by distance d = 10 cm is given by ____________ if the permittivity of medium is 8.854 × 10-12 F/m

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. 17.7 µF
  2. 17.7 × 10-7 µF
  3. 17.7 F
  4. 17.7 PF

Answer (Detailed Solution Below)

Option 2 : 17.7 × 10-7 µF
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Detailed Solution

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Concept

The capacitance of a parallel plate capacitor is given by:

\(C={ϵ A\over d}\)

where, C = Capacitance

ϵ = Permittivity

A = Cross-sectional area

d = Distance

Calculation

Given, A = 200 cm2 = 200 × 10-4 m2 

d = 10 cm = 10 × 10-2 m

\(C={8.854\times 10^{-12}\times 200\times 10^{-4}\over 10\times 10^{-2}}\)

C = 17.7 × 10-7 µF

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