a piece of wire having a resistance R is cut into five equal parts.
(1) how will the resistance of each part of the while compared with the original resistance?
(2)if the five pares of the wire or placed in parallel how will the resistance in the serious to the of parallel?
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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 ...✔
Explanation:
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