Question

Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum :

• A. $18\times {10}^8{m}^2$
• B. $0.3\times {10}^8{m}^2$
• C. $1.3\times {10}^8{m}^2$
• D. $1.13\times {10}^8{m}^2$

Answer 1

Answer: (D)

$1.13\times {10}^8{m}^2$

For parallel plate capacitor ,the capacitance $C=\frac{A{ϵ}_0}{d}$
Area, $A=\frac{Cd}{{ϵ}_0}=\frac{1\times {10}^{-3}}{8.85\times {10}^{-12}}=1.13\times {10}^8{m}^2$