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 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 8.5.00 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

Here, C =   8.500 10-8 F

C= K*Eo*A/D

=>    8.500 10-8 =   3.7 * 8.854 * 10-12 * 0.06 * L/ ( 0.23 * 10-4 )

=>   L   = (8.500 10-8 * 0.23 * 10-4) / (3.7 * 8.854 * 10-12 * 0.06)

              =    1 m

=>   Length of strips =   1 m

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