A capacitor consists of two air spaced concentric cylinders. The outer of radius b is fixed, and the inner is of radius a. If breakdown of air occurs at field strengths greater than E_b, show that the inner cylinder should have (i)radiusa = b/e if the potential of the capacitor is to be maximum (ii)radiusa =b//sqrt eif the energy per unit length of the system is to be maximum

A capacitor consists of two air spaced concentric cylinders. The outer

1.	A capacitor consists of two air spaced concentric cylinders. The outer of radius b is fixed, and the inner is of radius a. If breakdown of air occurs at field strengths greater than E_b, show that the inner cylinder should have (i)radiusa = b/e if the potential of the capacitor is to be maximum (ii)radiusa =b//sqrt eif the energy per unit length of the system is to be maximum
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