Paper has a dielectric constant K = 3.7 and a

Chapter 24, Problem 24.97

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Paper has a dielectric constant K = 3.7 and a dielectricstrength of 15 X 106V/m. Suppose that a typical sheet ofpaper has a thickness of 0.030 mm. You make a homemadecapacitor by placing a sheet of 21 X 14 cm paper betweentwo aluminum foil sheets (Fig. 24-41). The thickness of thealuminum foil is 0.040 mm. (a) What is the capacitance C0 ofyour device? (b) About how much charge could you store onyour capacitor before it would break down? (c) Show in asketch how you could overlay sheets of paper and aluminumfor a parallel combination. If you made 100 such capacitors,and connected the edges of the sheets in parallel so that youhave a single large capacitor of capacitance 100 Q , how thickwould your new large capacitor be? (d) What is the maximumvoltage you can apply to this 100 C0 capacitor without breakdown?FIGURE 24-41 97.

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