Checking Your Work: Calculating Equivalent Resistance

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SUMMARY

The discussion focuses on calculating the equivalent resistance of a circuit with six resistors, each valued at 12 ohms. The user correctly identifies that resistors R5 and R6 are in series, combining to form 2R. This combined resistance is then analyzed in parallel with R4, leading to the correct equivalent resistance calculations through a series of parallel and series combinations. The final equivalent resistance is confirmed as 13R/8, validating the user's calculations.

PREREQUISITES
  • Understanding of series and parallel resistor combinations
  • Familiarity with Ohm's Law
  • Basic circuit analysis techniques
  • Knowledge of equivalent resistance calculations
NEXT STEPS
  • Study advanced circuit analysis techniques using Kirchhoff's laws
  • Learn about Thevenin's and Norton's theorems for simplifying circuits
  • Explore the impact of resistor tolerance on equivalent resistance
  • Investigate the use of simulation tools like LTspice for circuit analysis
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Electrical engineering students, hobbyist circuit designers, and anyone interested in mastering circuit analysis and equivalent resistance calculations.

jg95ae
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I'm not sure if I'm doing this right, I would appreciate if someone could take a look.

Q. Find the equivalent resistance of the circuit (attached diagram). Each of the six resistors has a resistance equal to 12 ohms.

I'm thinking that R5 and R6 are in series and therefore combine to be 2R.
2R is now in parallel with R4, therefore 1/Req = 1/R + 1/2R = 3/2R

Then 3/2R is in series with R2, so 2R/3 + R = 5R/3

Then 5R/3 is in parallel with R3, so 3/5R + 1/R = 8/5R

And since 8/5R is in series with R1, then 5R/8 + R = 13R/8.

Have I made any major blunders??
 

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I get the same answer. Looks good.
 
Yep, right answer .
 

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