Parallel resistors (part 2) | Circuit analysis | Electrical engineering | Khan Academy | Summary and Q&A

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April 21, 2016
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Parallel resistors (part 2) | Circuit analysis | Electrical engineering | Khan Academy

TL;DR

Two resistors in parallel can be replaced by a single equivalent resistor using the formula 1/RP = 1/R1 + 1/R2. This can be extended to N resistors: 1/RP = 1/R1 + 1/R2 + ... + 1/RN.

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Questions & Answers

Q: What is a parallel resistor configuration?

A parallel resistor configuration in an electrical circuit consists of two or more resistors connected in parallel, meaning they share nodes and have the same voltage across them.

Q: How can two parallel resistors be replaced by a single equivalent resistor?

Two parallel resistors can be replaced by a single equivalent resistor using the formula 1/RP = 1/R1 + 1/R2, where RP is the equivalent resistance and R1 and R2 are the individual resistances.

Q: How can the formula for two parallel resistors be extended to N resistors?

The formula for two parallel resistors, 1/RP = 1/R1 + 1/R2, can be extended to N resistors in parallel as 1/RP = 1/R1 + 1/R2 + ... + 1/RN, where RN represents the resistance of the Nth resistor.

Q: What does the overall current in a parallel resistor configuration depend on?

The overall current in a parallel resistor configuration depends on the individual currents flowing through each resistor, which are determined by Ohm's Law (I = V/R). The total current is the sum of these individual currents.

Summary & Key Takeaways

  • Parallel resistors in an electrical circuit share nodes and have the same voltage across them.

  • Two parallel resistors can be replaced by a single equivalent resistor using the formula 1/RP = 1/R1 + 1/R2.

  • This formula can be extended to N resistors in parallel, where 1/RP = 1/R1 + 1/R2 + ... + 1/RN.

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