A piece of wire having a resistance of 5 ohm cut into five equal parts. if the five parts of
the wire are connected in parallel, then find the effective resistance of the combination?
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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 ...✔
Answered by
10
Answer:
The total resistance for equivalent resistance R' is;
R' = 5/R + 5/R + 5/R + 5/R + 5/R ...( resistances connected in parallel)
The Resistance of each part will be 5 ohm.
Thus, equivalent resistance R' = 5(5/R) = 25/R ohm
Explanation:
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