Answer to Question #314604 in Physics for Marcus

Question #314604

A parallel plate air capacitor has a capacitance of 5 F. What is the capacitance if the area of the plates is decreased to one-half its original value while keeping all other factors constant?

1
Expert's answer
2022-03-22T11:00:52-0400

The capacitance of parallel plate capacitor


C=ϵ0AdC=\frac{\epsilon_0 A}{d}C=ϵ0Ad=ϵ0A/2d=12×ϵ0Ad=12C=12×5F=2.5FC'=\frac{\epsilon_0 A'}{d}=\frac{\epsilon_0 A/2}{d}=\frac{1}{2}\times\frac{\epsilon_0 A}{d}=\frac{1}{2}C\\ =\frac{1}{2}\times \rm 5\: F=2.5\: F

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