Question
Download Solution PDFA 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:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCorrect option is: (3) R / 16
After being cut into 8 equal pieces,
⇒ Resistance of each piece = R′ = R / 8
Each set has 4 pieces in parallel combination
1 / R'' = 8 / R + 8 / R + 8 / R + 8 / R
⇒ Resistance of each set = R″ = R / 32
Both sets are connected in series
∴ Req = R″ + R″ = 2 × (R / 32) = R / 16
Last updated on Jun 16, 2025
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