What is the combined resistance here?

  • Thread starter Eitan Levy
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In summary, the conversation is about finding the combined resistance between points A and B in a circle. The discussion involves using series-parallel reductions to simplify the network and find the equivalent resistance. The final conclusion is that the two 2R resistors are connected in parallel, leading to a simplified network and an equivalent resistance.
  • #1
Eitan Levy
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Homework Statement


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What is the combined resistance in this circle between A and B.

Homework Equations

The Attempt at a Solution


Honestly I have no idea what to here, any explanation will be great.
 

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  • #2
Have you studied series-parallel reductions?
Start from the extreme right. What can you say about the two Rs in the rightmost loop?
 
  • #3
cnh1995 said:
Have you studied series-parallel reductions?
Start from the extreme right. What can you say about the two Rs in the rightmost loop?
This is the only thing I knew how to do here. They both combine to one resistor with a resistance of 2R.
 
  • #4
Eitan Levy said:
This is the only thing I knew how to do here. They both combine to one resistor with a resistance of 2R.
Right. Then what happens to the two 2Rs? How are they connected?
 
  • #5
cnh1995 said:
Right. Then what happens to the two 2Rs? How are they connected?
Their connection is parallel.
 
  • #6
Eitan Levy said:
Their connection is parallel.
Yes. So now you can go on simplifying the network until you find the equivalent resistance.
 
  • #7
cnh1995 said:
Yes. So now you can go on simplifying the network until you find the equivalent resistance.
Alright, thank you! I think I got it.
 

FAQ: What is the combined resistance here?

What is the combined resistance here?

The combined resistance refers to the total resistance in a circuit when multiple resistors are connected in series or parallel.

How do you calculate the combined resistance in a series circuit?

In a series circuit, the combined resistance is calculated by adding the individual resistances together. This is because the current has to flow through each resistor in succession, resulting in an overall increase in resistance.

How do you calculate the combined resistance in a parallel circuit?

In a parallel circuit, the combined resistance is calculated by using the formula 1/R = 1/R1 + 1/R2 + 1/R3... where R is the combined resistance and R1, R2, R3... are the individual resistances. This is because in a parallel circuit, the current is split between the different resistors, resulting in an overall decrease in resistance.

What happens to the combined resistance when resistors are connected in series?

When resistors are connected in series, the combined resistance increases. This is because the current has to flow through each resistor in succession, resulting in an overall increase in resistance.

What happens to the combined resistance when resistors are connected in parallel?

When resistors are connected in parallel, the combined resistance decreases. This is because the current is split between the different resistors, resulting in an overall decrease in resistance.

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