In a parallel plate capacitor with air between the plates, each plate has an area of $6 imes 10^{-

Question

In a parallel plate capacitor with air between the plates, each plate has an area of $6 	imes 10^{-3}	ext{ m}^2$ and the distance between the plates is $3	ext{ mm}$. What is the charge on each plate if connected to a $100	ext{ V}$ supply?

Professor PC Thomas Classes · Answer

Capacitance $C = \frac{\epsilon_0 A}{d} = \frac{8.85 	imes 10^{-12} 	imes 6 	imes 10^{-3}}{3 	imes 10^{-3}} = 17.7 	imes 10^{-12}	ext{ F} = 17.7	ext{ pF}$. Charge $Q = CV = 17.7 	imes 10^{-12} 	imes 100 = 17.7 	imes 10^{-10}	ext{ C} = 1.77 	imes 10^{-9}	ext{ C}$.