Q
Explain how to calculate the resistance of a series-parallel circuit.
First, calculate the resistance of the two parallel loads.
Then, add the load wired in series.
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Answer
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Step 1: Calculate the resistance of the two parallel loads, R\_parallel.
In a parallel circuit, the reciprocal of the total resistance is the sum of the reciprocals of each individual resistance. If the two resistors are labeled R^1 and R^2, the formula for the equivalent resistance (R\_parallel) of the parallel circuit is given by: Calculate the reciprocal of each individual resistance: and Sum the reciprocals:
Step 2: Add the load wired in series.
Once you have calculated the equivalent resistance (R\_parallel) of the parallel circuit, you can calculate the total resistance (R\_total) of the series-parallel circuit by adding the resistance of the load wired in series (R\_series): R_{total} = R_{parallel} + R_{series} Where R\_series is the resistance of the load wired in series in the series-parallel circuit.
Final Answer
The resistance of a series-parallel circuit can be calculated by first determining the equivalent resistance (R\_parallel) of the parallel loads using the formula:
Then, adding the resistance of the load wired in series (R\_series) to obtain the total resistance (R\_total) of the series-parallel circuit: R_{total} = R_{parallel} + R_{series}
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