What Is the Bath Temperature When Gold Wire Resistance Increases?

Click For Summary
SUMMARY

The resistance of a gold wire increases from 79 ohms at 30°C to 165 ohms in a liquid bath, indicating a significant temperature change. Using the formula for resistance, R = R(initial)[1 + α(T(final) - T(initial))], where α is the temperature coefficient (0.0034/°C), the calculated final temperature (T_final) is 350.1787°C. This calculation aligns with the provided inputs, confirming the accuracy of the method used. The homework service is not in error; the solution is valid based on the parameters given.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with temperature coefficients of materials
  • Knowledge of algebraic manipulation for solving equations
  • Basic concepts of thermal expansion in conductive materials
NEXT STEPS
  • Review the principles of temperature coefficients in conductors
  • Study the effects of temperature on resistance in different materials
  • Learn about the applications of resistance measurement in thermal analysis
  • Explore advanced topics in thermodynamics related to electrical properties
USEFUL FOR

Students in physics or electrical engineering, educators teaching resistance and temperature relationships, and professionals involved in materials science or thermal management.

sharpnova
Messages
43
Reaction score
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 celsius.
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?
 
Physics news on Phys.org
The relevant equation is correct.

The answer is correct for the given inputs.
 

Similar threads

Resistance depending on temperature
  • · Replies 10 ·
Replies
10
Views
3K
How Does Temperature Affect Copper Wire Resistivity?
  • · Replies 1 ·
Replies
1
Views
1K
Resistance of a Wire at varying temperatures
  • · Replies 1 ·
Replies
1
Views
2K
Temperature Variance with Resistivity
  • · Replies 8 ·
Replies
8
Views
4K
What is the temperature of the bath?
  • · Replies 5 ·
Replies
5
Views
2K
How Many Electrons Pass Through a Gold Wire Per Second?
  • · Replies 7 ·
Replies
7
Views
10K
Temperature increase due to increase of resistance
  • · Replies 2 ·
Replies
2
Views
9K
Temperature to raise resistance
  • · Replies 2 ·
Replies
2
Views
3K
Does Wave Speed on a Wire Change with Temperature Increase?
  • · Replies 6 ·
Replies
6
Views
4K
Find the temperature of Liquid A after 12 minutes
  • · Replies 13 ·
Replies
13
Views
2K