Pure silicon and thermometers

[Magna1]

Its been a rough week I have posted 3 times.

A digital thermometer uses pure silicon thermistor as its sensing element. When it is used to measure the temp of a sick child the element drops to 99.06% of its normal value at standard body temp of 37 degrees. What is the temp of the sick child?
What formula do I use R=R{original}[1+(rho)*temp change] But where do I plug in this percentage?
I don't get it?
HELP

 

[Integral]

It would be easier to help you if you defined all of the terms in your post.

Assuming that you are looking for change in R the percentage change would be:

[tex]\frac {R_O - R} {R_0} [/tex]

So what is the rho?


Edit: LaTex error.

 

[M98Ranger]

First of all, I'm sorry to hear that you've had a rough week. It can be frustrating when things don't go as planned. As for your question, let's break it down step by step.

Firstly, a pure silicon thermistor is a type of thermometer that uses a semiconductor material, silicon, as its sensing element. This material has unique properties that allow it to change its electrical resistance in response to changes in temperature.

In your situation, the thermistor is being used to measure the temperature of a sick child. When the thermistor is exposed to the child's body temperature of 37 degrees Celsius, it drops to 99.06% of its normal value. This means that the resistance of the thermistor has decreased by 0.94%.

To calculate the actual temperature of the child, you need to use the formula provided: R=R{original}[1+(rho)*temp change]. In this formula, R{original} refers to the original resistance of the thermistor at standard body temperature (37 degrees Celsius), and rho is the temperature coefficient of the thermistor.

The temperature coefficient is a measure of how much the resistance of the thermistor changes with a change in temperature. It is usually provided by the manufacturer and is typically given in units of ohms per degree Celsius (Ω/°C).

To use the percentage given (99.06%), you would convert it to a decimal by dividing it by 100, giving you 0.9906. This value would then be used in place of (rho)*temp change in the formula.

So, to summarize, to calculate the temperature of the sick child using a pure silicon thermistor, you would use the formula R=R{original}[1+(rho)*temp change], where R{original} is the resistance of the thermistor at 37 degrees Celsius, and (rho) is the temperature coefficient provided by the manufacturer. The percentage given (99.06%) can be converted to a decimal and used in place of (rho)*temp change.

I hope this helps clarify things for you. If you're still unsure, don't hesitate to ask for further clarification. Best of luck!