Q. 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:
A) $\frac{R}{64}$
B) $\frac{R}{32}$
C) $\frac{R}{16}$
D) $\frac{R}{8}$
Explanation
[Solution by Claude - not from source] Each piece $=R/8$. Four in parallel $=\frac{R/8}{4}=\frac R{32}$. Two such sets in series $=\frac R{16}$. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.