Calculating Skin Temperature: Using a Thermometer with Resistance Equation

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SUMMARY

The discussion focuses on calculating the resistance of a wire thermometer used to measure skin temperature. Given a wire with an initial resistance of 40 Ohms at 30 degrees Celsius and a temperature coefficient of resistivity of 5.0 x 10^-2 K^-1, the resistance at 36 degrees Celsius can be determined using the formula: R = R0(1 + α(T - T0)). This equation allows for precise calculations of resistance changes due to temperature variations, essential for accurate temperature readings in medical applications.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with temperature coefficients of resistivity
  • Basic knowledge of thermodynamics related to temperature measurement
  • Ability to perform calculations involving linear equations
NEXT STEPS
  • Research the application of the resistance-temperature relationship in thermometers
  • Learn about different types of thermometers and their principles of operation
  • Explore advanced topics in thermodynamics related to resistive materials
  • Investigate the use of calculators for resistance and temperature conversions
USEFUL FOR

Medical professionals, biomedical engineers, and anyone involved in designing or using thermometers for accurate skin temperature measurements will benefit from this discussion.

Libra_girl
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A thermometer is used to measure the skin temperature of a patient. This thermometer works by having a wire in contact with the skin. As the temperature of the skin changes it will change the temperture of the wire and hence the resistance of the wire. If the wire has a resistance of 40 Ohms at 30 degrees, what will its resistace be at 36 degrees? (The temperature coefficient of resistivity of the wire is 5.0x10^-2 K^-1.

What equation should I use to solve this?
 
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Libra_girl said:
A thermometer is used to measure the skin temperature of a patient. This thermometer works by having a wire in contact with the skin. As the temperature of the skin changes it will change the temperture of the wire and hence the resistance of the wire. If the wire has a resistance of 40 Ohms at 30 degrees, what will its resistace be at 36 degrees? (The temperature coefficient of resistivity of the wire is 5.0x10^-2 K^-1.

What equation should I use to solve this?

Check out the bottom of http://hyperphysics.phy-astr.gsu.edu/hbase/electric/restmp.html#c1
there's even a little calculator to check your work.
 

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