Calculating Resistance of Composite Wire: Copper and Iron Combination

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To calculate the resistance of a composite wire made from copper and iron, first determine the resistance of each segment based on their lengths and diameters. The wires are welded end-to-end, confirming they are in series, which means their resistances can be added together. The total length of the composite wire is 122 cm, consisting of a 21 cm copper wire and a 101 cm iron wire. Each wire's resistance can be calculated using the appropriate formulas for resistivity and geometry. Ultimately, the combined resistance is the sum of the individual resistances from both materials.
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Homework Statement


A 122-cm-long wire is made by welding a 0.36-mm-diameter, 21-cm-long copper wire to a 0.47-mm-diameter, 101-cm-long iron wire. What is the resistance of the composite wire?


Homework Equations





The Attempt at a Solution


How do I do this since it is made up of 2 different materials?
 
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do I just find the resistance of each one and add them?
 
Resistances in series add up.
 
how do I know they are in series?
 
Yea They are not clear on that point do they mean the wires were welded end to end to make a longer wire, OR as is the case sometimes, were the two wires used in parralel to make a thicker wire. I assume ened to end ie series as the person writing the problem would most likley have said welded at both ends if he/she meant paralell. So calculate resistance of each piece and simply add
 
mikecal1 said:
Yea They are not clear on that point do they mean the wires were welded end to end to make a longer wire, OR as is the case sometimes, were the two wires used in parralel to make a thicker wire. I assume ened to end ie series as the person writing the problem would most likley have said welded at both ends if he/she meant paralell. So calculate resistance of each piece and simply add
oh ok...thank you!
 
BuBbLeS01 said:

Homework Statement


A 122-cm-long wire is made by welding a 0.36-mm-diameter, 21-cm-long copper wire to a 0.47-mm-diameter, 101-cm-long iron wire. What is the resistance of the composite wire?

If you re-read you have a 21-cm wire and a 101-cm wire. Therefore the only way this problem can work would be to have them end to end to have a 122-cm wire.

So, yes, as has been said above, just calculate both the resistances and add them together.
 
Great catch Ignea, my bad I read problem way too quick! gets me killed every time
 
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