Revisiting our first example of Module $7,$ we are given a battery with an EMF of $12[$V$]$

connected to a load resistance of $3[].$ Initially, when the battery was new, the internal

resistance was $0\mathrm{.}05[]$; however, as a battery ages, its internal resistance increases. Suppose the

internal resistance of the battery increased to $1[],$

a$)$ What is the new current for the aged battery?

b$)$ How much power does the load resistor receive?

c$)$ How much power does the internal resistor take?

d$)$ How much power does the battery supply in total?

e$)$ By how much did the power supplied by the battery change with age? Specify whether it

increased or decreased