Benjamin Franklin made use of a “bank” of Leiden jars (Fig. P18.82) for some of his expe...

Benjamin Franklin made use of a “bank” of Leiden jars (Fig. P18.82) for some of his experiments. (a) Are these 35 Leiden jar capacitors arranged in series or in parallel? Hint: Close inspection of the photo shows that the central rods of the jars are all connected together. (b) Calculate the maximum capacitance obtained by such an arrangement using the capacitance for one such jar found in Problem 81. (c) What is the maximum amount of energy that can be stored in this bank of jars?

(reference problem 81)

Some of the first capacitors constructed were called Leiden jars. These capacitors were actual jars with a layer of foil on the inside and outside of the glass as shown in Figure P18.81. A conducting sphere topped a metal rod that in turn connected to a dangling chain that made contact with the inner layer of foil, all held in place by a nonconducting lid made of wood or cork. The Leiden jar was developed in 1745 by Pieter van Musschenbroeck of the University of Leiden, the Netherlands, but Benjamin Franklin’s experiments with these jars led to an understanding of how energy is stored within the jar. The working assumption at the time was that electricity had a fluid nature, so the shape of a jar for storage fi t well with this initial hypothesis. One of Franklin’s jars measured 4 in. in diameter, with foil on the bottom and up the sides to a height of 9 in. (a) Estimate the approximate capacitance of his Leiden jar if the wall of the jar is thick. (Find the area of foil coverage and assume an equivalent parallel-plate capacitor.) (b) What is the maximum energy that could be stored in such a device?