# Resistances in Series or Parallel

1. Jul 1, 2009

### peaceandlove

1. The problem statement, all variables and given/known data
You are given three identical resistors, each of 100 Ohms. Show how by using them singly or in series, parallel or series-parallel combinations you can obtain a resistance of 66.7.

2. Relevant equations
N/A

3. The attempt at a solution
The only way I could think of arranging the resistors in order to obtain a resistance of 66.7 Ohms was if 2 resistors connected in series were parallel to 1 resistor. Is this even possible? Or is there another solution?

2. Jul 1, 2009

### queenofbabes

Why not? It is correct.

3. Jul 1, 2009

### LowlyPion

Well what does it work out to?

The equivalent is a 200 || 100, so that looks like it's right. All 3 || would yield 33 ohms, so ... must only be the one solution.

4. Jul 1, 2009

### negitron

Of course it's possible (and correct, as noted). See the attached image.

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5. Jul 1, 2009

### peaceandlove

Well it was the only solution I could think of but I wasn't sure if I could parallel them that way. If I can then I think it's safe to assume it's correct.