Professor C$.$ A$.$ Pacitor has a cabin up north he powers with static electricity. They want to make a slice

of toast, and the toaster requires $1$kW of power. They power the toaster by pulling their sweater off really

fast. Each time they pull their sweater off, they generate $50,000$ volts, and their capacitance is $400$pF$.$

How many times per second do they have to remove their sweater to run the toaster?

A$)2$

B$)1000$

C$)0\mathrm{.}04$

D$)2000$

E$)120$