Two metal plates,as shown in the figure,extend 5 cm into the page.The plates are machined in this shape to serve as electrodes in electrical equipment.The capacitance of this machined capacitor is

Question

Quizplus · Accepted Answer

The capacitance of a parallel plate capacitor is given by the formula C = (ε0A)/d, where ε0 is the permittivity of free space, A is the area of each plate and d is the distance between them. In this case, the plates extend 5 cm into the page, so the distance between them is also 5 cm. The area of each plate can be approximated by assuming that the plates are rectangles with lengths equal to the side length of the square and widths equal to the difference between the side length and the 2 cm wide notch. Thus, the area of each plate is (8 cm)(3 cm) = 24 cm^2 = 0.0024 m^2. Plugging in these values, we get C = (ε0A)/d = (8.85 × 10^-12 F/m)(0.0024 m^2)/(0.05 m) = 4.248 × 10^-11 F ≈ 6.20 pF. Therefore, the best choice is B.

Two Metal Plates,as Shown in the Figure,extend 5 Cm into the Page.The