Darth Vader chops off his son, Luke Skywalker's hand in the Empire Strikes Back (father of year, right?). He uses a sword that uses light for its blade (called a lightsaber).

a) [8 points] If cauterizing skin requires putting out 2.00 mA at a voltage of 15000 V, how much power is this lightsaber using?

b) [8points]WhatistheresistanceofthepathasthelightsabercauterizesLuke's wrist?

c) [8 points] If the cost of electricity of a lightsaber is $10 per kWh, how much money did Darth Vader's lightsaber use in his approximately 30 minute long duel with Luke Skywalker?

d) [8points]Wecanmodelthechargeinthelightsaberusingthefollowingequation:

2 = 3* 5*+2(*)

Use this to derive an equation to represent the current of a lightsaber as a function of time.