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