Question

For two plates separated by distance \[d\], what is the capacitance of a parallel plate capacitor without a dielectric medium?

Options

• \[C=\frac{\varepsilon_0 A}{d}\]

• \[C=\frac{\varepsilon_0 d}{A}\]

• \[C=\frac{d}{\varepsilon_0 A}\]

• \[C=\frac{A}{\varepsilon_0 d}\]

Answer 1

For two plates separated by distance \[d\], capacitance is the product of permittivity of free space and plate area, divided by separation. Thus, \[C=\frac{\varepsilon_0 A}{d}\].