Combining Series and Parallel Resistor Combinations

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SUMMARY

The discussion focuses on calculating the Thevenin equivalent resistance (Rth) using series and parallel resistor combinations. The correct approach involves starting from the terminals and combining resistors accurately. The user initially calculated Rth as 2.4 kΩ by incorrectly combining resistors, while the correct method involves recognizing the configuration of the resistors. The key takeaway is to visualize the circuit correctly and apply the series and parallel resistance formulas appropriately.

PREREQUISITES
  • Understanding of series and parallel resistor configurations
  • Familiarity with Thevenin's theorem
  • Knowledge of basic circuit analysis techniques
  • Ability to manipulate circuit diagrams for clarity
NEXT STEPS
  • Study Thevenin's theorem in detail
  • Practice problems involving series and parallel resistor combinations
  • Learn to redraw circuit diagrams for better visualization
  • Explore advanced circuit analysis techniques such as mesh and nodal analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to enhance their understanding of resistor combinations and circuit analysis techniques.

hermish
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Homework Statement



Find Rth, at the terminals shown on the diagram


Homework Equations



Series resistance = R1 + R2 + R3 +...
Parallel Resistance = 1/((1/R1)+(1/R2)...))

The Attempt at a Solution



When attempting problems like this, I was told by teachers and the textbook to start at the opposite end of the terminals(where the Rth and arrow is). So in that case I combine the two 6 kohms resistors together (in series), and then combine that with the 3 ohms resistor (in parallel), getting an answer of 2.4 kohms, different to the answer provided.. In the answer provided, they don't start at the opposite end of the terminals, instead they start near the terminals. Is there something I'm not understanding right? or is the answer wrong?
 

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you apparently do not understand the concepts of series and parallel. I suggest that you spend time studying circuit configurations until you can identify what is series and what is parallel.
 
Remember that the disconnected terminals connected between ends of the 6kΩ resistors can be ignored - you can remove the wire "stubs" on either side of the open circuit completely.

Also the 3kΩ resistor can be rotated counterclockwise by 90 degrees until it's connected to the wire on top.

Redraw the circuit in this fashion. Does it look like a much more familiar arrangement?
 
Ok thanks so much for the help I understand now!
 

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