Temperature coefficient of resistance problem

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SUMMARY

The discussion focuses on calculating the resistance at 20°C and the temperature coefficient of resistance (alpha) using the formula R(T) = R(To) (1 + alpha (T-To)). The values provided indicate that at 20°C, R1 is 5.1 ohms and at 30°C, R2 is 5.2 ohms. The temperature coefficient of resistance can be determined using the formula α = (R2 - R1)/(R1t2 - R2t1), which allows for the calculation of alpha based on the resistance values at the specified temperatures.

PREREQUISITES
  • Understanding of resistance and temperature relationships
  • Familiarity with the formula R(T) = R(To) (1 + alpha (T-To))
  • Basic knowledge of interpolation techniques
  • Ability to read and interpret graphs
NEXT STEPS
  • Learn how to apply the formula for temperature coefficient of resistance in practical scenarios
  • Study interpolation methods for graph analysis
  • Explore the effects of temperature on different materials' resistance
  • Investigate the significance of resistance in electrical engineering applications
USEFUL FOR

Students studying physics or electrical engineering, educators teaching resistance concepts, and anyone interested in understanding the relationship between temperature and electrical resistance.

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Homework Statement


For the resistance versus temperature graph below, find (a) the resistance at T = 20°C and (b) the temperature coefficient of resistance alpha .

http://tinypic.com/r/jhufkn/7

I don't know if the graph is showing up or not, it isn't for me... so here's the link.
http://tinypic.com/r/jhufkn/7

The Attempt at a Solution



I believe that this is the formula i am supposed to use, but i feel like i don't have enough numbers or data to plug in. R(T) = R(To) ( 1 + alpha (T-To) )
 
Last edited:
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You can use the formula
α = (R2 - R1)/(R1t2 - R2t1)
From the graph, you can see that at 20 degree C R1 = 5.1 ohm and at 30 degree C R2 = 5.2 ohm. find α.
Interpolate the graph towards the axis. You can find R(0). Then use the formula which you have mentioned to find R(20)
 

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