$(20$ points$)-$We are attempting to measure the output of the following voltage$-$dividing circuit.

The resistances hold these relationships: Rr $=$ R$,+$ R$2$ and R$,=$ kRr$,$ and the parameters of b$.$ What happens to the loading error if Rr $5000$ S instead? What happens if Rm a$.$ Determine the loading error as a percentage of the output Eo the circuit are as follows: Rr$=500$f$,$ E$=10$V$,$ Rm $=10$kl$,$ k$=0\mathrm{.}5==$

$100$ k $($and Rr $500)?$ Calculate the loading error as a percentage of the full$-$scale output in both additional cases.