Engineering Circuits: Resistors in Parallel

AI Thread Summary
In a parallel circuit, if one branch contains a resistor (rA) and the other branch has no resistance, rA will only affect the total resistance if it is not short-circuited. If rA is effectively bypassed by a wire with no resistance, the equivalent resistance of that branch becomes zero, meaning rA does not contribute to the total resistance. Therefore, the total resistance of the circuit is determined solely by the other branch. Understanding the implications of short circuits is crucial for accurate resistance calculations. The presence of a resistor in parallel can significantly alter the total resistance based on its configuration.
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Homework Statement


If I have a circuit with some resistors and then the circuit branches out in parallel where one route has a resistor (rA) and the other route does not, would I still incorporate the resistor (rA) in the calculation of the total resistance of the circuit?

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The Attempt at a Solution

 
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Do you mean to say that rA is connected with a wire (without any resistance) in parallel. In other words is rA short circuited? If yes, then their equivalent resistance will be zero and rA won't contribute to total resistance of the circuit.
 

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