What Is the Bath Temperature When Gold Wire Resistance Increases?

In summary, the relationship between temperature and resistance is that as temperature increases, resistance also increases. The formula for calculating resistance at a given temperature is R = R₀[1 + α(T - T₀)]. Temperature can significantly affect the accuracy of resistance measurements, especially in materials with a high temperature coefficient of resistance. The temperature coefficient of resistance is a measure of how much the resistance of a material changes with respect to temperature and is important in determining the accuracy and performance of materials. Temperature vs. resistance data is used in various practical applications such as in electronic circuit design, temperature sensors, and thermistors, as well as in industrial processes and for calibration and compensation techniques.
  • #1
sharpnova
43
1

Homework Statement



At 30±C, the resistance of a segment of gold wire is 79 ohms*.
When the wire is placed in a liquid bath,
the resistance increases to 165 *ohms.
The temperature coefficient is 0.0034/C at 20 degrees Celcius.
What is the temperature of the bath? An-
swer in units of C.

Homework Equations



Resistance = R(initial)[1+ alpha (T(final) - T(initial)]

The Attempt at a Solution



165 = 79 * ( 1 + .0034 * (T_final - 30) )

T_final = 350.1787


I'm submitting this and it's saying I'm wrong. Is the homework service in error?
 
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  • #2
The relevant equation is correct.

The answer is correct for the given inputs.
 
  • #3


Without knowing the exact error message or more information about the problem, it is difficult to determine if the homework service is in error. However, there may be a few things to consider in your solution:

1. Make sure you are using the correct units for temperature and resistance. In this problem, the temperature coefficient is given in units of 1/C, so the temperature should be in degrees Celsius and the resistance should be in ohms.

2. Check your calculation for T_final. It is possible that there was a mistake in your calculation or rounding error.

3. Consider the significance of the ± symbol in the given temperature of 30±C. This may indicate a range of temperatures, so your final answer for T_final may need to be within this range.

Overall, it is always a good idea to double check your work and make sure you are using the correct equations and units. If you are still having trouble, it may be helpful to consult with a tutor or your instructor for further clarification.
 

Related to What Is the Bath Temperature When Gold Wire Resistance Increases?

What is the relationship between temperature and resistance?

The relationship between temperature and resistance is that as temperature increases, resistance also increases. This means that as the temperature of a material rises, it becomes more difficult for electricity to flow through it.

What is the formula for calculating resistance at a given temperature?

The formula for calculating resistance at a given temperature is: R = R₀[1 + α(T - T₀)], where R is the resistance at the given temperature, R₀ is the resistance at a reference temperature, α is the temperature coefficient of resistance, T is the given temperature, and T₀ is the reference temperature.

How does temperature affect the accuracy of resistance measurements?

Temperature can significantly affect the accuracy of resistance measurements, especially in materials with a high temperature coefficient of resistance. This is because changes in temperature can cause changes in the resistance of the material, leading to inaccurate measurements. To ensure accuracy, temperature compensation techniques can be used.

What is the significance of temperature coefficient of resistance?

The temperature coefficient of resistance is a measure of how much the resistance of a material changes with respect to temperature. It is an important factor to consider when working with materials that will be subject to varying temperatures, as it can help determine the accuracy of resistance measurements and the overall performance of the material.

How is temperature vs. resistance data used in practical applications?

Temperature vs. resistance data is used in various practical applications, such as in the design of electronic circuits, temperature sensors, and thermistors. It can also be used to determine the operating temperature range of a material and to monitor changes in temperature in industrial processes. Additionally, it is used in the calibration of temperature measurement devices and in the development of temperature compensation techniques.

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