A wire of resistance is divided into equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in serie

Question

A wire of resistance   is divided into  equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is  .

Canvas Classes · Accepted Answer

🧠 Pair the equal pieces in parallel, then string the pairs in series

Cutting the wire into  equal parts gives ten  pieces. Pairing them in parallel makes five  units; connecting those five in series adds up.

🖼️ Picture it

per piece. Make five parallel pairs, then put the pairs end to end.

🗺️ Working it out

Each parallel pair:

Five such  pairs in series:

⚡ The smart move

Two equal resistors in parallel give half of one ( here). Five of those in series is simply  — no fractions to ju

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