[tex]\displaystyle\\
\eta = \frac{R}{R+r}=95\% \\\\
\frac{R}{R+r}=0,95\\\\
R = 0,95(R+r)\\\\
R = 0,95R+0,95r\\\\
R - 0,95R = 0,95r\\\\
0,05R = 0,95r\\\\
R = \frac{0,95r}{0,05} ~~~\text{unde: } r= 1~\Omega \\\\
R = \frac{0,95\times 1}{0,05} = \frac{95}{5} = \boxed{19~\Omega } \\\\\\
I = \frac{E}{R+r} = \frac{4,5}{19+1} = \frac{4,5}{20} = \boxed{0,225~A} = \boxed{225~mA}[/tex]