March 27, 2017

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The Leyden jar, invented by chance in 1746, was one of the earliest types of capacitors (see the figure below), made by covering the inner and outer surfaces of a glass jar with conducting layers (for example, aluminum foil). It is a good approximation to treat the Leyden jar as a parallel-plate capacitor.

(a) Find the capacitance for a cylindrical jar of height 18 cm and radius 6 cm, made of 3 mm thick Pyrex glass. (The dielectric strength of the Pyrex glass is 1.00*10^7 V/m.)

(b) What is the maximum charge that could be stored on it?

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