Question

One wire of resistance R is cut into 5 parts.Four parts of wire is joined to form a square and one is joined in its
diagonal and next leftover two ends are joined with battery. Find total resistance.

Answer 1

Hᴇʀᴇ Is Yoᴜʀ Aɴsᴡᴇʀ⚑

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➧ Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.

➧ Therefore, resistance of each part

➾ R/5

➧ All the five parts are connected in parallel.

∴equivalent resistance (R') is given as

1 / R'

➾ 5 / R + 5 / R + 5 / R + 5 / R + 5

➾ 5 + 5 + 5 + 5 + 5 / R

➾ 1 / R' = 25 / R

➾ R / R' = 25 ...✔

_________

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