Equivalent Resistance/ resistors in series and parallel

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SUMMARY

The discussion centers on calculating equivalent resistance in a circuit with both series and parallel resistors. The formulas provided are R_S = R1 + R2 + R3 + ... + Rn for series resistors and 1/R_P = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn for parallel resistors. A participant expresses confusion regarding the order of applying these formulas and seeks clarification on interpreting circuit diagrams. The mention of specific resistances, such as 4 ohms, 9 ohms, and 14 ohms, highlights the need for accurate sketching and analysis of the circuit layout.

PREREQUISITES
  • Understanding of series and parallel resistor configurations
  • Familiarity with Ohm's Law (V = IR)
  • Ability to interpret circuit diagrams
  • Basic knowledge of electrical resistance calculations
NEXT STEPS
  • Study the principles of series and parallel resistor combinations in detail
  • Practice circuit diagram sketching for clarity in resistance calculations
  • Learn how to apply the equivalent resistance formulas in complex circuits
  • Explore tools for circuit simulation to visualize resistance changes
USEFUL FOR

Students in electrical engineering, hobbyists working with circuits, and anyone looking to improve their understanding of resistor networks and equivalent resistance calculations.

OmegaFury
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Homework Statement


Find R_AB in the network. Look at attached file "Problem"

Homework Equations


R_S= R1+R2+R3+...Rn (for series resistors)
1/RP= 1/R1 + 1/R2 + 1/R3 + 1/Rn... (for parallel resistors)
V=IR (ohm's law)

The Attempt at a Solution


Look at attached file "Problem Attempt"

I know I'm probably not looking at these circuits the correct way, because each time I try to solve these problems, I find different equivalent resistances depending on the order by which I use the series resistor and parallel resistor formula. I really want to know the correct way to read the diagram, because that is half the battle, and it would guide my calculations a lot more smoothly.

I'm also stuck. What do I do with that 9ohms?
 

Attachments

  • Problem.jpg
    Problem.jpg
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  • Problem attempt.jpg
    Problem attempt.jpg
    37.5 KB · Views: 547
Last edited:
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4 ohm and 14 ohm resistors should be in series. Redraw your sketch.
 

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