A wire of resistance $R$ is cut into 8 equal pieces. From these pieces two equivalent resistances ar

Question

A wire of resistance $R$ is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is

Professor PC Thomas Classes · Answer

(a) : Resistance of each part, $r=R / 8$ \ $ R_1=R_2=\frac{r}{4}=\frac{R}{32} $ $R_1$ and $R_2$ are in series $	herefore \quad R_{	ext {eq }}=R_1+R_2$ \ $ =\frac{R}{32}+\frac{R}{32}=\frac{R}{16} $