# How to arrange given resistors in a given shape to meet target value?

1. Sep 7, 2014

### Bahamas

1. The problem statement, all variables and given/known data
I have available resistors of 5 different values (10kΩ, 22kΩ, 47kΩ, 100kΩ and 220kΩ).
How can I choose a combination of these resistors that will create a total resistance of 35kΩ in a U shape (using 5 resistors)?
See attached picture of 'U' to get a clear picture of the shape.

2. Relevant equations
Series Resistors
[R][/eq] = [R][/1]+[R][/2]+[R][/3]+...

Parallel Resistors
1/[R][/eq]=1/[R][/1] + 1/[R][/2] + 1/[R][/3] +...

3. The attempt at a solution
I really don't know here. They would all be in a series for the 'U' shape, so even if I use 5 of the 10kΩ resistors, I will end up with a total resistance of 50kΩ
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. Sep 7, 2014

### SteamKing

Staff Emeritus
It would seem that since a simple series arrangement of the resistors does not give the desired total resistance of 35 k Ohms, you will need to explore an arrangement of resistors in parallel combined with resistors in series to see if a total R = 35 k Ohms can be established.