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When there are two parallel resistances and they are not equal, it is usually quicker to calculate the combined resistance by finding their sum and dividing that by their product. a.True b.False

1 Answer

3 votes

Final answer:

The total resistance of parallel resistors is not the sum of the individual resistances. The combined resistance is found using the equation 1/Rp = 1/R1 + 1/R2. Therefore, it is not quicker to calculate the combined resistance by finding their sum and dividing by their product.

Step-by-step explanation:

b. False

The total resistance of a number of parallel resistors is not the sum of the individual resistances as the overall resistance decreases with more paths for the current. The total resistance for parallel resistors is given by 1/Rp = 1/R1 + 1/R2.

For example, if two resistors R₁ and R₂ are connected in parallel and they are not equal, the combined resistance is found using the equation 1/Rp = 1/R1 + 1/R2. This equation takes into account the inverses of the individual resistances. Therefore, it is not quicker to calculate the combined resistance by finding their sum and dividing by their product.

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User Athea
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