Series vs. Parallel: Understanding Resistor Configurations

In summary, the two resistors in the given image cannot be combined using the rules for series or parallel resistors, as it would change the circuit's topology.
  • #1
Phrak
4,267
6
Are these resistors in series or parallel?
http://img196.imageshack.us/img196/1043/seriesparallel.jpg
 
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  • #2
Neither. These two resistors together can be viewed as a three-terminal device. There's no way to combine them into a single resistor via the rules for parallel and series resistors, because that would create a two-terminal device, and it would no longer fit into the circuit.

- Warren
 
  • #3
chroot said:
Neither. These two resistors together can be viewed as a three-terminal device. There's no way to combine them into a single resistor via the rules for parallel and series resistors, because that would create a two-terminal device, and it would no longer fit into the circuit.

- Warren

Well, that's true, the two resistors don't combine by the rules for serial or parallel equivalence. I haven't been clever enough in obtaining the sort of ambiguous topology I have in mind, without changing the question.
 

1. What is the difference between series and parallel resistor configurations?

In a series configuration, the resistors are connected one after the other in a single path, while in a parallel configuration, they are connected in multiple branches. This leads to differences in the overall resistance and current flow in the circuit.

2. Which configuration is better for reducing total resistance?

Parallel configurations are better for reducing total resistance, as the individual resistors add up to a smaller total resistance compared to a series configuration.

3. How does current flow in a series configuration?

In a series configuration, the same amount of current flows through each resistor, as there is only one path for the current to follow.

4. How does current flow in a parallel configuration?

In a parallel configuration, the total current is divided between the branches, with each branch receiving a portion of the total current based on the resistance of the individual resistors.

5. Can I mix series and parallel configurations in a circuit?

Yes, it is common to have a combination of series and parallel resistor configurations in a circuit. This allows for more control over the overall resistance and current flow in the circuit.

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