What is the minimum resistance which can be made using five resistors each of 1/5 Ω?
Question
What is the minimum resistance which can be made using five resistors each of 1/5 Ω?
Solution
The minimum resistance that can be made using five resistors each of 1/5 Ω can be achieved by connecting all the resistors in parallel.
The formula for total resistance (Rt) for resistors in parallel is given by:
1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn
In this case, since all the resistors are the same, the formula becomes:
1/Rt = 5 * (1/(1/5))
Solving this gives:
1/Rt = 5 * 5
1/Rt = 25
Therefore, the total resistance Rt = 1/25 Ω.
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