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

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 3.00 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.)
m

Explanation / Answer

C = k*(A*/d)
is 8.85*10^-12 F/m
k = 3.7
A and d are area of plate in m² and separation in m

Substituing Values,
8.5 * 10^-8 = (3.7 * 8.85*10^-12 * 3.0 * 10^-2 * L) / (0.025 * 10^-3)
L = 2.16 m

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