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.9 Explain the qualification R3/RP-3

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Final answer:

The R3/RP-3 qualification involves calculating the equivalent resistance in a mixed resistor network, first by finding parallel resistance and then adding it to a series resistor.

Step-by-step explanation:

The qualification R3/RP-3 seems to refer to a step in a process for calculating the total resistance in a circuit where some resistors are arranged in parallel and series. The given information indicates a scenario where resistors are being combined using rules for resistors in parallel and in series to find an overall equivalent resistance (Requiv).

For resistors in parallel, the reciprocal of the total resistance (1/Rp) is the sum of the reciprocals of the individual resistances (1/R1 + 1/R2 + ...). The text details a calculation for a parallel resistor circuit (R2 and R3), and later indicates a series arrangement where Rp3 is in series with R1. The final resistor value is calculated by adding Rp to another resistor R1 in series.

Calculating the Total Resistance Rp

You first calculate the equivalent resistance for resistors in parallel (R2 and R3) using the formula 1/Rp = 1/R2 + 1/R3. If we know R2 and R3, we can find Rp. The calculated Rp should be less than the smallest individual resistance, which is affirmed in the text when it states that the total resistance with the correct number of significant digits is Rp = 0.804 Ω.

In a subsequent step, this Rp is added to R1, which is in series, as indicated in the purple dashed loop following step 3. After combining these two resistors, you will get the final equivalent resistance Requiv.

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