Why Are Some Resistors in Parallel While Others Are Not?

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SUMMARY

The discussion focuses on identifying resistors in parallel within a circuit diagram. The user correctly identifies two resistors at the bottom as being in parallel but struggles with a third resistor's configuration. The key takeaway is that resistors are in parallel if the same potential difference (PD) is applied across them, which can be determined by finding a direct path between the terminals of the resistors without encountering other components. This understanding is crucial for analyzing circuit behavior accurately.

PREREQUISITES
  • Basic understanding of electrical circuits
  • Knowledge of resistor configurations (series and parallel)
  • Familiarity with potential difference (PD) concepts
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study the principles of series and parallel resistor combinations
  • Learn how to calculate equivalent resistance in parallel circuits
  • Explore circuit analysis techniques using Kirchhoff's laws
  • Practice identifying resistor configurations in various circuit diagrams
USEFUL FOR

Electrical engineering students, hobbyists working on circuit design, and anyone interested in understanding resistor configurations in electrical circuits.

User1265
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Homework Statement
Find the current of i1 and i2
Relevant Equations
V/R = i

E=V+IR
My attempt at a solution:
I can see the two resistors at the bottom are in parallel as shown on the circuit diagram attached, but I'm failing to understand why there's a third resistor in parallel.
So I made it one effective resistance as R/2.
Then I proceded to think the circuit short circuits, as Resitor in the middle + R/2 at the bottom has a lower resistance than resistor at the top + middle resistance. So I though i1 = 0 ... I felt like this was wrong and stopped my solution here.

I have been told in order to determine if resistors are in parallel, you must see if the same pd is applied across them, but struggling to see how I can do this here. How do I indentify which are in parallel in this case?
 

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User1265 said:
How do I indentify which are in parallel in this case?
If you can find a path from one side of resistor A to one side of resistor B that does not encounter any components, and similarly for the other sides of the two resistors, then the same PD applies across both.
 

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