Calculating Equivalent Resistance for a Complex Circuit - CircuitLab Homework

In summary, equivalent resistance is a single resistance value that can replace multiple resistors in a circuit without affecting the overall current or voltage. It can be calculated by adding the individual resistances in a series circuit or using the reciprocal formula for parallel circuits. A circuit is considered "stuck" when there is no current flowing through it, and equivalent resistance can help troubleshoot the issue by identifying problem components. In a series circuit, equivalent resistance will always be greater than individual resistances, while in a parallel circuit, it can be greater than, equal to, or less than the individual resistances.
  • #1
Gauss M.D.
153
1

Homework Statement



Find the equivalent resistance of:

https://www.circuitlab.com/circuit/5s3ebn/screenshot/1024x768/

Homework Equations





The Attempt at a Solution



I've simplified it a bit already... Just very confused in regards to which resistances are in parallel since they all connect to each other at different nodes.
 
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  • #2
If it wasn't for R6, the whole problem would be easy... Uuuughh
 
  • #3
This circuit does not include any resistors in parallel or series ... thus you must use delta-Y transforms to simplify it:
http://en.wikipedia.org/wiki/Y-Δ_transform
 

1. What is equivalent resistance?

Equivalent resistance refers to the single resistance value that can replace a combination of multiple resistors in a circuit without changing the overall current or voltage in the circuit.

2. How is equivalent resistance calculated?

Equivalent resistance is calculated by adding the individual resistances in a series circuit or by using the reciprocal formula (1/Req = 1/R1 + 1/R2 + ... + 1/Rn) for resistors in parallel.

3. What does it mean for a circuit to be stuck?

A circuit is considered "stuck" when there is no current flowing through it, usually due to a break in the circuit or a malfunctioning component.

4. How can equivalent resistance help in troubleshooting a stuck circuit?

By calculating the equivalent resistance of a circuit, one can identify which components may be causing the circuit to be stuck and focus on troubleshooting those specific components.

5. Can equivalent resistance be greater than the individual resistances in a circuit?

Yes, in a series circuit, the equivalent resistance will always be greater than the individual resistances. In a parallel circuit, the equivalent resistance can be less than, equal to, or greater than the individual resistances depending on the values of the resistors.

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