Assume that V (t) = V is constant and I (0) = 0. (a) Solve for I (t). (b) Show that lim t→∞ I (t) = V/R and that I (t) reaches approximately 63% of its limiting value after L/R seconds. (c) How long...

Assume that V (t) = V is constant and I (0) = 0.

(a) Solve for I (t).

(b) Show that lim

t→∞

I (t) = V/R and that I (t) reaches approximately 63% of its limiting value after L/R seconds.

(c) How long does it take for I (t) to reach 90% of its limiting value if R = 500 ohms, L = 4 henries, and V = 20 volts?