You can given one hundred 1 Ω resistors. What is the smallest and largest resistance you can make in a circuit using these?

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Solution

Given: One hundred 1 Ω resistors
The largest value of resistance is obtained when the resistors are connected in series. Therefore, the largest resistance is 100 Ω.
The lowest resistance is obtained when all the resistors are connected in parallel. Therefore, the lowest resistance of the combination is 0.01 Ω.

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