You are asked to construct a capacitor having a capacitance near \( 1 \mathrm{nF} \) and a break...

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You are asked to construct a capacitor having a capacitance near \( 1 \mathrm{nF} \) and a breakdown potential in excess of \( 10,000 \mathrm{~V} \). You think of using the sides of a tall Pyrex drinking glass as a dielectric, lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is \( 10 \mathrm{~cm} \) tall with an inner radius of \( 3.6 \mathrm{~cm} \) and an outer radius of \( 3.8 \mathrm{~cm} \). What are the (a) capacitance and (b) breakdown potential of this capacitor?
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