a) [latex]R23=frac{R2*R3}{R2+R3}=frac{1*1}{1+1}=0,5[/latex] [latex]R234=frac{R23*R4}{R23+R4}=frac{0,5*1}{0,5+1}=frac{1}{3}[/latex] [latex]R12345=R1+R234+R5=1+frac{1}{3}+1=2frac{1}{3}[/latex] b) [latex]R12=R1+R2=1+1=2[/latex] [latex]R123=frac{R12*R3}{R12+R3}=frac{2*1}{2+1}=frac{2}{3}[/latex] [latex]R1234=R123+R4=frac{2}{3}+1=1frac{2}{3}[/latex] [latex]R12345=frac{R1234*R5}{R1234+R5}=frac{frac{5}{3}*1}{frac{5}{3}+1}=frac{5}{8}[/latex] C) [latex]R12=frac{R1*R2}{R1+R2}=frac{1*1}{1+1}=0,5[/latex] [latex]R45=frac{R4*R5}{R4+R5}=frac{1*1}{1+1}=0,5[/latex] [latex]R123=frac{R12*R3}{R12+R3}=frac{0,5*1}{0,5+1}=frac{1}{3}[/latex] [latex]R12345=R123+R45=frac{1}{3}+1=1frac{1}{3}[/latex]
