What is the minimum resistance which can be made using fiveresistors 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.
Here's the step by step process:
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Understand the concept: When resistors are connected in parallel, the total resistance decreases. This is because the electric current has more than one path to follow.
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Use the formula for resistors in parallel: 1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn. In this case, each resistor (R1, R2, R3, etc.) has a resistance of 1/5 Ω.
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Substitute the values into the formula: 1/Rt = 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5) = 5 + 5 + 5 + 5 + 5 = 25.
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Solve for Rt: 1/Rt = 25, so Rt = 1/25 Ω.
So, the minimum resistance that can be made using five resistors each of 1/5 Ω, when connected in parallel, is 1/25 Ω.
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