Calculate voltage and temperature for this temperature-dependent resistor

In summary: In my opinion, it must be what is in my second image - if you take a picture of the first image with the second image next to it, you will be able to see the difference.
  • #1
Edy56
38
5
Homework Statement
If RT0= 10 kΩ, T0= 25°C, B= 5,000 K, R1=R 2= 10 kΩ, and V=5 V, determine the value of voltage V OUT at temperature T0. When the temperature changes, the measured voltage value is V OUT = 1 V. Determine the value of the unknown temperature. Ignore the change in resistance of resistors R1 and R2 with temperature.
Relevant Equations
On the paper
Is my work correct?
IMG_20230604_232121.jpg
 
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  • #2
You know what you wrote, but I cannot accurately read your photographs, so I cannot efficiently check your work. Maybe it is time you typed in your work or used LaTeX.
 
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  • #3
While you consider describing the problem better, and showing us your work in a readable form, you might also ask a question about the part that is confusing you. Frankly, most of us aren't that motivated to simply grade HW. We've all done enough of that in the past.

Do you have a question about thermistors (which is what I think your working with), or the circuits they live in? What is the part of this that makes you think you may not have found the right answer yourself?

Out in the real world, engineer's have to check their own work. Your boss won't want to do that for you. It will serve you well, both in school and at a real job, if you start practicing that.
 
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  • #4
DaveE said:
While you consider describing the problem better, and showing us your work in a readable form, you might also ask a question about the part that is confusing you. Frankly, most of us aren't that motivated to simply grade HW. We've all done enough of that in the past.

Do you have a question about thermistors (which is what I think your working with), or the circuits they live in? What is the part of this that makes you think you may not have found the right answer yourself?

Out in the real world, engineer's have to check their own work. Your boss won't want to do that for you. It will serve you well, both in school and at a real job, if you start practicing that.
I always end up making some mistake when doing these problems so I am worried. And I am not really interested in being this type of engineer, it's just a class I have to pass in my cs course.
 
  • #5
The Homework Statement says B= 5000 K and in the photgraph I read B=500. I may be mistaken because my eyes aren't what they used to be.
 
  • #6
Edy56 said:
And I am not really interested in being this type of engineer, it's just a class I have to pass in my cs course.
And you think that motivates us to help you?
 
  • #7
Gordianus said:
The Homework Statement says B= 5000 K and in the photgraph I read B=500. I may be mistaken because my eyes aren't what they used to be.
It Is 5000. I forgot one 0 and then i wrote it so it's a lot less noticable but the problem is solved with 5000.
 
  • #8
phinds said:
And you think that motivates us to help you?
No offense, but I am not interested in motivating anyone to help me. The replies would have been the same whether I was striving to be an engineer or not. The forum Is called homework Help, i posted because i needed Help, whether you want to help or not Is entirely up to you.
 
  • #9
Edy56 said:
...whether you want to help or not Is entirely up to you.
I would help if I could read the question and the solution. I'm not going to waste time on GIGO.
 
  • #10
Baluncore said:
I would help if I could read the question and the solution. I'm not going to waste time on GIGO.
I posted two questions yesterday and they were minutes apart. On the first one you said there Is a Latex guide, on the second one you said "It's time you learn Latex"... Give me a break. You don't know someone's situation, what kind of computer or phone they have to demand the use of Latex and type such Long calculations when they Can just take a picture. Especially when I could still get a reply that engineers should check their work by themselves.
If you want to help, help, otherwise, keep scrolling.
I have over a 1000 posts on math forum and no one ever demands you to type the problem. They just Ask you to take another picture so they Can see better.
 
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  • #11
Edy56 said:
I posted two questions yesterday and they were minutes apart. On the first one you said there Is a Latex guide, on the second one you said "It's time you learn Latex"... Give me a break.
You appear to have conflated other member's replies with my one reply.
 
  • #12
Baluncore said:
You appear to have conflated other member's replies with my one reply.
Okay sure, my mistake. But still, it's my third day on Here so give me a break about Latex. Not everyone Has time or resources to do it.
 
  • #13
I hope you will agree with me, it is very difficult to read your draft. I made a large copy to see better.
In my opinion, it must be what is in my second image - if you agree.
 

Attachments

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  • #14
IMG_20230605_205828.jpg

IMG_20230605_205836.jpg

Hopefully this Is better.
I Got a different result so I might have made a mistake previously too.
 
  • #15
I got the same result so I think it is ok.
 
  • #16
Babadag said:
I got the same result so I think it is ok.
Thank youu
 
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FAQ: Calculate voltage and temperature for this temperature-dependent resistor

What is a temperature-dependent resistor?

A temperature-dependent resistor, also known as a thermistor, is a type of resistor whose resistance varies significantly with temperature. There are two main types: Negative Temperature Coefficient (NTC) thermistors, where resistance decreases with an increase in temperature, and Positive Temperature Coefficient (PTC) thermistors, where resistance increases with an increase in temperature.

How do you calculate the resistance of a thermistor at a given temperature?

The resistance of a thermistor at a given temperature can be calculated using the Steinhart-Hart equation for more accuracy or a simpler beta parameter equation for approximate values. The Steinhart-Hart equation is: 1/T = A + B*ln(R) + C*(ln(R))^3, where T is the temperature in Kelvin, R is the resistance, and A, B, and C are constants. The beta parameter equation is: R = R0 * exp[β * (1/T - 1/T0)], where R0 is the resistance at a reference temperature T0, and β is a material-specific constant.

How do you calculate the voltage across a thermistor in a circuit?

The voltage across a thermistor in a circuit can be calculated using Ohm's Law, V = I * R, where V is the voltage, I is the current flowing through the thermistor, and R is the resistance of the thermistor at the given temperature. If the thermistor is part of a voltage divider, the voltage can be found using the voltage divider formula: V_out = V_in * (R_thermistor / (R_fixed + R_thermistor)), where V_in is the input voltage, R_thermistor is the resistance of the thermistor, and R_fixed is the resistance of the fixed resistor in the divider.

What factors can affect the accuracy of temperature and voltage calculations for a thermistor?

Several factors can affect the accuracy of temperature and voltage calculations for a thermistor, including the precision of the thermistor's resistance-temperature characteristics, the accuracy of the constants used in equations, the stability of the power supply, the quality of the connections in the circuit, and environmental factors such as ambient temperature and heat dissipation. Calibration and proper circuit design can help mitigate these factors.

Can you provide an example calculation for a thermistor in a voltage divider circuit?

Sure! Suppose we have an NTC thermistor with a resistance of 10kΩ at 25°C (298K) and a β value of 3950K. It is part of a voltage divider with a 10kΩ fixed resistor and a 5V supply. First, calculate the thermistor's resistance at a different temperature, say 50°C

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