Question

A parallel plate capacitor has capacitance of 1.0 F. If the plates are 1.0 mm apart, what is the area of the plates?

Answer 1

The area of the plates =  1.1 × $10^{8}$ m²

Given:

A parallel plate capacitor has capacitance of 1.0 F.

The plates are 1.0 mm apart = 1×$10^-^3$ meter.

To find:

The area of the plates.

Formula used:

C = $\mathcal{E}_{\mathrm{o}}$ $\frac{A}{D}$

where,  $\mathcal{E}_{\mathrm{o}}$ =  Absolute permittivity of the dielectric material = 8.86 × $10^-^1^2$

            A= Area of plates.

            D = Distance between plate.

Explanation:

Given that     C = 1.0 F

                      D= 1×$10^-^3$ meter.

                       $\mathcal{E}_{\mathrm{o}}$ = 8.86 × $10^-^1^2$

             C = $\mathcal{E}_{\mathrm{o}}$ $\frac{A}{D}$

          A = $\frac{C\times D}{\mathcal{E}_{\mathrm{o}}}$ = $\frac{1(10^-^3)}{8.86\times 10^-^1^2}$ = 1.1 × $10^{8}$ m²

The area of the plates =  1.1 × $10^{8}$ m²

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