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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Capacitance

JIPMER 2018 · Physics · Capacitance

If a capacitor having capacitance 2 F and plate separation of 0.5...

If a capacitor having capacitance 2 F and plate separation of 0.5 cm will have area

Options

  1. A1130 cm21130 \mathrm{~cm}^2
  2. B1130 m21130 \mathrm{~m}^2
  3. C1130km21130 k m^2
  4. DNone of these

Correct answer

C. 1130km21130 k m^2

Step-by-step solution

∵\because Capacitance of a parallel plate capacitor, C=ε0 A d A=Cdε0=2×0.5×10−28.85×10−12=1.130×109 m2=1130 km2\begin{aligned} \mathrm{C} & =\frac{\varepsilon_0 \mathrm{~A}}{\mathrm{~d}} \quad \mathrm{~A}=\frac{\mathrm{Cd}}{\varepsilon_0}=\frac{2 \times 0.5 \times 10^{-2}}{8.85 \times 10^{-12}} \\ & =1.130 \times 10^9 \mathrm{~m}^2=1130 \mathrm{~km}^2\end{aligned}
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