Q$5$: A $30$ V battery, a $500$ resistor, a $30$ mH inductor and a switch are connected in series as shown. The switch is closed at $t=0.$ A long time later, how much energy is stored in the inductor?

a$)220J$

b$)88\mathrm{.}3J$

c$)20\mathrm{.}0J$

d$)134J$

e$)$ None of the other answers are correct

Q$6$: We wish to change the battery in the circuit from Q$5$ so that the stored energy will be $100J.$ What should we use to replace the existing $30$ V battery?

a$)27\mathrm{.}3$ V

b$)65\mathrm{.}5$ V

c$)35\mathrm{.}0$ V

d$)40\mathrm{.}8$ V

e$)$ None of the other answers are correct