Calculating Skin Temperature: Using a Thermometer with Resistance Equation

In summary, a thermometer uses a wire in contact with the skin to measure skin temperature. The resistance of the wire changes as the temperature changes, with a temperature coefficient of resistivity of 5.0x10^-2 K^-1. Using this information, we can calculate the resistance of the wire at different temperatures, such as solving for its resistance at 36 degrees when it has a resistance of 40 Ohms at 30 degrees. The equation to use for this calculation can be found in the resource provided and there is also a calculator available for verification.
  • #1
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 teh wire. If the wire has a resistance of 40 Ohms at 30 degrees, what will its resistace be at 36 degrees? (The temperature coefficent of resistivity of the wire is 5.0x10^-2 K^-1.

What equation should I use to solve this?
 
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  • #2
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 teh wire. If the wire has a resistance of 40 Ohms at 30 degrees, what will its resistace be at 36 degrees? (The temperature coefficent 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
Theres even a little calculator to check your work.
 

1. How do I calculate skin temperature using a thermometer with resistance equation?

The skin temperature can be calculated by using the following formula: T = (R-R0)/α, where T is the skin temperature in degrees Celsius, R is the resistance value measured by the thermometer, R0 is the resistance value at a known temperature (usually 37°C), and α is the resistance coefficient of the thermometer. This equation is based on the fact that the resistance of the thermometer changes with temperature.

2. What is the resistance coefficient of a thermometer?

The resistance coefficient is a constant value that is specific to each type of thermometer. It is determined by the material and design of the thermometer and is used in the resistance equation to convert the resistance value into temperature.

3. What is the normal range of skin temperature?

The normal range of skin temperature varies depending on the location on the body, but in general, it is between 32-35°C (89.6-95°F). However, it is important to note that skin temperature can be affected by factors such as environment, activity level, and health conditions.

4. Can a thermometer with resistance equation be used to measure core body temperature?

No, a thermometer with resistance equation is designed to measure skin temperature, not core body temperature. To measure core body temperature, a thermometer with a probe that is inserted into the body, such as a digital thermometer, is needed.

5. Are there any limitations to using a thermometer with resistance equation?

Yes, there are some limitations to using a thermometer with resistance equation. Since it relies on the resistance of the thermometer changing with temperature, external factors such as moisture, pressure, and electrical interference can affect the accuracy of the temperature measurement. It is also important to properly calibrate the thermometer and use it according to the manufacturer's instructions for best results.

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