You have a collection of six 1.0 kilo ohm resistors. what is the smallest resistance you can make by combining them

Put them all in parallel.

To find the smallest resistance you can make by combining the six 1.0 kilo ohm (kΩ) resistors, you need to understand the concept of resistors connected in series or parallel.

When resistors are connected in series, their resistances are simply added together to obtain the total resistance. In this case, the resistors are all of the same value, so the total resistance when connected in series would be:

Total resistance = R1 + R2 + R3 + R4 + R5 + R6

Given that each resistor has a resistance of 1.0 kilo ohm, or 1.0 kΩ, the total resistance when connected in series would be:

Total resistance = 1.0 kΩ + 1.0 kΩ + 1.0 kΩ + 1.0 kΩ + 1.0 kΩ + 1.0 kΩ

Simplifying the expression, we get:

Total resistance = 6.0 kΩ

So, when the six 1.0 kΩ resistors are connected in series, the total resistance would be 6.0 kilo ohms.

Please note that this calculation assumes ideal resistors and neglects any variations or manufacturing tolerances that may exist in the real world.

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