Why Are the 5 and 20 Ohm Resistors in Parallel?

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SUMMARY

The discussion centers on calculating the equivalent resistance of a circuit containing 5 ohm and 20 ohm resistors in parallel, as well as 6 ohm and 3 ohm resistors in parallel. The solution manual confirms that these resistors are indeed in parallel due to the voltage across them being the same. The final equivalent resistance is determined by analyzing the circuit layout, which includes an 8 ohm resistor as the last component in the series. Understanding the arrangement of these resistors is crucial for accurate resistance calculations.

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  • Basic understanding of electrical circuits
  • Knowledge of Ohm's Law
  • Familiarity with series and parallel resistor configurations
  • Ability to perform calculations involving equivalent resistance
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  • Study the formula for calculating equivalent resistance in parallel circuits
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princejan7
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I'm trying to find the equivalent resistance of this circuit but I don't know where to start.

The solution manual says that the 5 and 20 ohm resistors are in parallel as well as the 6 and 3 ohm resistors. Can someone explain why?
 

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Go from a to b: after 10 ohm you can turn up or down and end up at one and the same voltage (the wire that runs around to the left) Again you can go via 6 or 3 and the final hurdle is the 8 ohm.
Now draw the picture again, with a at the top and b at the bottom.
 

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