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A commercial capacitor is constructed as in Figure 16.25a. This particular capac

ID: 1427371 • Letter: A

Question

A commercial capacitor is constructed as in Figure 16.25a. This particular capacitor is made from a strip of aluminum foil separated by two strips of paraffin-coated paper. Each strip of foil and paper is 6.00 cm wide. The foil is 0.00400 mm thick, and the paper is 0.025 mm thick and has a dielectric constant of 3.7. What length should the strips be if a capacitance of 8.50 10-8 F is desired before the capacitor is rolled up? (Use the parallel-plate formula. Adding a second strip of paper and rolling up the capacitor doubles its capacitance by allowing both surfaces of each strip of foil to store charge.)
1 m

Explanation / Answer

C =8.5x10^-8 F, w = 6cm , d = 0.025 mm, k = 3.7

eo = 8.85*10^-12 F/m

C = Akeo/d

A = Cd/ keo = (8.5*10^-8*0.025*10^-3)/(3.7*8.85*10^-12)

A = 0.065 m^2

l*w = A

l*0.06 = 0.065

l = 1.08 m

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