Problem $1$

Typical batteries of modern electric cars operate at $400V.$ Some companies are trying to create technology that would increase such voltage to $800V.$ If these new batteries are created:

Compare the amount of charge they would spend w$.$r$.$t$.$ the old ones to do a given amount of work.

To ride for a mile in an SUV takes about $1\mathrm{.}32MJ($mega Joules$)$ of energy. How much charge does the $800V$ battery would deliver in such ride?

If both types of batteries hold a charge $Q,$ how much farther can the $800V$ battery go$?$ Assume the work done by the batteries is proportional to the distance driven.