What is the minimum resistance which can be made using fiveresistors each of 1/5 Ω?(a) 1/5 Ω(b) 1/25 Ω(c) 1/10 Ω(d) 25 Ω
Question
What is the minimum resistance which can be made using five resistors each of 1/5 Ω?
- (a) 1/5 Ω
- (b) 1/25 Ω
- (c) 1/10 Ω
- (d) 25 Ω
Solution
The minimum resistance that can be made using five resistors each of 1/5 Ω is when they are connected in parallel. The formula for total resistance (Rt) in a parallel circuit is 1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn.
In this case, all resistors (R1, R2, R3, R4, R5) are 1/5 Ω. So, the formula becomes 1/Rt = 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5).
This simplifies to 1/Rt = 5 + 5 + 5 + 5 + 5 = 25.
To find Rt, we take the reciprocal of both sides, so Rt = 1/25 Ω.
Therefore, the answer is (b) 1/25 Ω.
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