It has been proposed to use large inductors as energy storage devices.
a. How much electrical energy is converted to light and thermal energy by a `200 - Omega` light bulb in one day?
b. If the amount of energy calculated in part (a) is stored in an inductor in which the current is `80.0 A`, what is the inductance?

Explanation

a. `U = Pt = (200 W)(24 h//day) xx 3600 s//h) = 1.728 xx 10^(7) J`
b. `U = (1)/(2) LI^(2) rArr L = (2U)/(I^(2)) = (2(1.728 xx 10^(7)J))/((80.0 A)^(2) = 5400 H`