Answers for Assignment 5

      (b) Volume = 2 W / (kappa epsilon₀ E_max² )

27. The table below gives the answers:

Quantity	Initial Value	Final Value
Charge on C1	C1 V	(1/2)(1+kappa)C1 V
Charge on C2	(kappa) C1 V	Same as on C1
Total stored energy	(1/2)(1+kappa)C1 V2	(1/4)(1 + kappa)2 C1 V2
Voltage across capacitors	[ V ]	(1/2)(1+kappa)V

28. Proofs

29.
      (a) C = 4 pi kappa epsilon₀ a b / (b - a)

      (b) | q | = 4 pi kappa epsilon₀ a b V / (b - a)

      (c) | q' | = 4 pi epsilon₀ a b V (kappa 1)/ (b - a)

Last revised 1998/03/16