Continuation of Exercises 30.111 and 30.27.
(a) How much energy is stored in the magnetic field of the inductor one time constant after the battery has been connected? Compute this both hy integrating the expression in Exercise 30.27(c) and by using Eq. (30.9), and compare the results.
(b) Integrate the expression obtained in Exercise 30.27(a) to find the total energy supplied by the battery during the time interval considered in part (a).
(c) Integrate the expression obtained in Exercise 30.27(b) to find the total energy dissipated in the resistance of the inductor during the same time period.
(d) Compare the results obtained in parts (a), (b), and (c).