Need help finding unique resistor combinations

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Homework Help Overview

The discussion revolves around finding unique combinations of resistors to meet specified current and voltage requirements. The problem involves three types of resistors (3 ohm, 5 ohm, and 10 ohm) and requires the identification of 17 distinct combinations while adhering to the constraint that no two resistors of the same value can be used together.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for clarification on the requirement for 17 combinations, questioning the total number of possible combinations given the provided parameters. They explore the idea of using resistors in both series and parallel configurations and suggest creating a table to organize potential combinations.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's requirements and exploring various approaches to identify resistor combinations. Some guidance has been offered regarding organizing combinations and calculating equivalent resistances, but no consensus has been reached on the interpretation of the task.

Contextual Notes

Participants note the constraints imposed by the homework, including the requirement for unique resistor values in combinations and the specific ranges of current and voltage that must be satisfied.

tiger00
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Need help finding unique resistor combinations!

Homework Statement



Amps = 30, 45, 60, 70
Voltage = 600 to 700, 600 to 800, 400 to 600
I have three typres of resistors 3 ohm, 5 ohm, 10 ohm
I have to find 17 combinations of resistors to work with the given amps and volts. The resistors all have to be differnet values(you can't use 2-3 ohm resistors, 2-5 ohm resistors or 2-10 ohm resistors.) The resistors can be in parallel or in a series.

Homework Equations



I=V/R
 
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tiger00 said:

Homework Statement



Amps = 30, 45, 60, 70
Voltage = 600 to 700, 600 to 800, 400 to 600
I have three typres of resistors 3 ohm, 5 ohm, 10 ohm
I have to find 17 combinations of resistors to work with the given amps and volts. The resistors all have to be differnet values(you can't use 2-3 ohm resistors, 2-5 ohm resistors or 2-10 ohm resistors.) The resistors can be in parallel or in a series.

Homework Equations



I=V/R

Welcome to PF.

Sorry, I don't really understand your problem. What 17 combinations? I only see 12 combinations of voltage ranges and currents. Maybe if you could supply more information?
 


That is my issue too...the teacher gave us the three different voltage ranges, the 4 different amperages, and we were told that we can use 3, 5, and 10 ohm resistors. She said that we have to find 17 combinations of using the resistors. Ex. I could use a 3,5,10 ohm resistor one time in a series. I could use a 3,5,10 the next time in parallel...as long as the I=V/R hold true...
 


tiger00 said:
That is my issue too...the teacher gave us the three different voltage ranges, the 4 different amperages, and we were told that we can use 3, 5, and 10 ohm resistors. She said that we have to find 17 combinations of using the resistors. Ex. I could use a 3,5,10 ohm resistor one time in a series. I could use a 3,5,10 the next time in parallel...as long as the I=V/R hold true...

In that case then just make a table of all the resistor combinations you can make. You have 3 single resistors alone, you have 3 pairs in ||, 3 pairs in series alone, you have 3 more with 1 in || 2 in series, etc. Basically all combinations possible.

Then figure the equivalent resistances that each makes, and see which ones fit which V and I.
 

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