Solving Resistivity Question: Determine Shunt Length

  • Thread starter Thread starter brenfox
  • Start date Start date
  • Tags Tags
    Resistivity
Click For Summary
SUMMARY

The length of the shunt was calculated using the formula l = AR/ρ, where A is the cross-sectional area, R is the resistance, and ρ is the resistivity of copper. Given a cross-sectional area of 25 cm² and a resistance of 0.5 μΩ, the calculated length of the shunt is 7.4 mm. The resistivity of copper used in the calculation is 1.7 x 10-8 Ω·m. The discussion highlights the importance of unit consistency in calculations.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the formula R = ρ l/a
  • Knowledge of units for area, resistance, and resistivity
  • Basic algebra for transposing equations
NEXT STEPS
  • Review the properties of copper, specifically its resistivity at different temperatures
  • Learn about the implications of shunt length on circuit performance
  • Explore common errors in unit conversions in electrical calculations
  • Investigate the impact of cross-sectional area on resistance in conductors
USEFUL FOR

Students in electrical engineering, professionals working with circuit design, and anyone involved in practical applications of electrical resistance calculations.

brenfox
Messages
71
Reaction score
1

Homework Statement


Determine the length of the shunt if the c.s.a of the copper is 25cm^2.


Homework Equations


R = ρ l/a
Resistance of shunt is 0.5μΩ

The Attempt at a Solution

Transposing to find l.
l = AR/ρ
=25^2x10^2 x 0.5x10-6/1.7x10-8
=7.4mm is the length of the shunt. Does this look feasible? Any guidance will be well received.
 
Physics news on Phys.org
Please use units, this makes it much easier to check which number you put where.
I think there is a factor of 10 missing somewhere.
 
  • Like
Likes   Reactions: 1 person

Similar threads

  • · Replies 12 ·
Replies
12
Views
13K
Replies
6
Views
2K
Replies
4
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K