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Answer :
Final answer:
The resistance when all three resistors are connected in series is 15.80 Ω. The resistance when all three resistors are connected in parallel is 1.67 Ω. For the other combinations, the same principles of series and parallel connections can be applied to calculate the resistances.
Explanation:
In a series circuit, the resistors are connected end-to-end, such that the total resistance is the sum of the individual resistances. So, in this case, the resistance when all three resistors are connected in series would be 6.50 Ω + 7.60 Ω + 1.70 Ω = 15.80 Ω.
In a parallel circuit, the resistors are connected in branches, such that the total resistance is determined by the reciprocal of the sum of the reciprocals of the individual resistances. So, in this case, the resistance when all three resistors are connected in parallel would be 1/(1/6.50 Ω + 1/7.60 Ω + 1/1.70 Ω) = 1.67 Ω.
For the other combinations, you can apply the same principles of series and parallel connections to calculate the resistances.
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