(26.79) Problem 4. In the endless endeavor to make electronic devices as small a

Question

(26.79) Problem 4. In the endless endeavor to make electronic devices as small as possible, you have been hired to make a capacitor that has the greatest capacitance possible in a cubic volume 10 mm on each side. You are allowed to use any capacitor geometry you wish, as well as any combination of geometries. For simplicity, assume a dielectric constant of 1000. You have conductors available with a thickness of 0.5 µm, that you can cut or fold into any shape, and you can cut your dielectric to the same thickness. What is the largest capacitance you can come up with given these constraints?

Explanation / Answer

V = A d and V = L^3

(10 x 10^-3)^3 = A (0.5 x 10^-6)

A = 2 m^2

C = e0 er A / d

C = (8.854 x 10^-12)(1000) (2) / (0.5 x 10^-6)

C = 0.0354 F ........Ans

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.