Correcting Errors in Conservative Line Integral Calculation

Click For Summary
SUMMARY

The discussion centers on correcting errors in the calculation of conservative line integrals for homework problems c1 and c2. The participant initially calculated an answer of -5, while the correct answer is 27. Key errors identified include neglecting the t term in the i-component of the integral and miscalculating the contributions from the j and k components, which should be zero. By addressing these specific mistakes, the participant can arrive at the correct solution.

PREREQUISITES
  • Understanding of conservative vector fields
  • Familiarity with line integrals in vector calculus
  • Knowledge of parameterization of curves
  • Proficiency in using vector notation and components
NEXT STEPS
  • Review the properties of conservative vector fields
  • Practice calculating line integrals with various parameterizations
  • Study the relationship between line integrals and potential functions
  • Explore common mistakes in vector calculus and how to avoid them
USEFUL FOR

Students studying vector calculus, particularly those tackling line integrals and conservative fields, as well as educators looking for common pitfalls in student understanding.

fonseh
Messages
521
Reaction score
2

Homework Statement


I am having question with part c , for both c1 and c2 , here's my working for c1 , i didnt get the ans though . My ans is -5 , but the given ans for c1 and c2 is 27 , is the ans wrong ? Or which part i did wrongly ?

Homework Equations

The Attempt at a Solution

 

Attachments

  • IMG_20161206_010836.jpg
    IMG_20161206_010836.jpg
    27.4 KB · Views: 413
  • IMG_20161206_011204.jpg
    IMG_20161206_011204.jpg
    29 KB · Views: 411
Physics news on Phys.org
## z=0 ## in the ## \hat{j} ## term, and the ## \hat{k} ## term in ## d \vec{r}/dt ## equals zero, so that both the ## \hat{j} ## and ## \hat{k} ## terms are equal to zero. You left off the ## t ## term in the ## \hat{i} ## integral term. With these corrections, I think you will get the correct answer.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 9 ·
Replies
9
Views
1K
Replies
12
Views
5K