Resistance of Pure Metals: A Matrix Algebra Approach

Click For Summary
SUMMARY

The discussion focuses on determining the electrical resistance of pure metals—copper, tin, and cadmium—using matrix algebra based on experimental data from metallic alloys. The resistance readings for the alloys are 0.0071 Ohms for 25% copper and 75% tin, 0.0049 Ohms for 65% copper and 35% cadmium, and 0.0060 Ohms for 40% copper, 40% tin, and 20% cadmium. Participants are encouraged to formulate equations that represent these measurements to solve for the resistance of each pure metal.

PREREQUISITES
  • Understanding of matrix algebra
  • Knowledge of electrical resistance concepts
  • Familiarity with Ohm's Law
  • Basic skills in formulating and solving linear equations
NEXT STEPS
  • Learn how to set up and solve systems of equations using matrix methods
  • Explore the application of Ohm's Law in different materials
  • Study the properties of electrical conductivity in metallic alloys
  • Investigate the relationship between composition and resistance in materials science
USEFUL FOR

Students in materials science, electrical engineering, and anyone interested in the mathematical modeling of electrical properties in metals.

ckeller
Messages
9
Reaction score
0

Homework Statement



A range of metallic alloys are tested for electrical conductivity and give the following results for identically sized samples.

25% copper with 75% tin gave a reading of 0.0071 Ohms
65% copper with 35% cadmium gave a reading of 0.0049 Ohms
40% copper with 40% tin and 20% cadmium gave a reading of 0.0060 Ohms

Using matrix algebra, determine the resistance of an equally sized sample for each of the pure metals –

(a) Copper
(b) Tin
(c) Cadmium


Homework Equations





The Attempt at a Solution



I was hoping someone could shine some light on this!

Chris.
 
Last edited:
Physics news on Phys.org
Can you write equations that describe the three measurement situations?
 

Similar threads

Final Grades for Linear Algebra Course
  • · Replies 3 ·
Replies
3
Views
3K
What affects the resistivity/conductivity of metals?
  • · Replies 6 ·
Replies
6
Views
10K
Chemically regenerating my auto's catalytic converter?
  • · Replies 19 ·
Replies
19
Views
10K