Circuits: Resistors in Parallel

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SUMMARY

In circuits with resistors in parallel, if one branch contains a resistor (rA) and the other branch is a direct wire (short circuit), the total resistance of the circuit is determined by the short circuit. Specifically, rA does not contribute to the total resistance when it is effectively short-circuited, resulting in an equivalent resistance of zero for that branch. This conclusion is based on the fundamental principles of parallel resistor calculations.

PREREQUISITES
  • Understanding of basic electrical circuit concepts
  • Familiarity with Ohm's Law
  • Knowledge of parallel resistor configurations
  • Ability to perform equivalent resistance calculations
NEXT STEPS
  • Study the principles of series and parallel circuits
  • Learn how to calculate equivalent resistance in complex circuits
  • Explore the effects of short circuits on circuit behavior
  • Investigate real-world applications of resistors in parallel configurations
USEFUL FOR

Students studying electrical engineering, hobbyists building circuits, and educators teaching circuit theory will benefit from this discussion.

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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?

Homework Equations





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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