Line Integral: Evaluating Along Circular Path from P1 to P2

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SUMMARY

The discussion focuses on evaluating the line integral along a circular path from point P1(0,3) to point P2(-3,0) over a quarter-circle with a radius of 3. The integral is expressed as the integral from P1 to P2 of the vector field E dotted with the differential line element dl. Participants emphasize the need to properly define the vector field E and the differential element dl to facilitate the integration process.

PREREQUISITES
  • Understanding of line integrals in vector calculus
  • Familiarity with parametric equations of a circle
  • Knowledge of vector fields and their representation
  • Ability to compute dot products in vector mathematics
NEXT STEPS
  • Learn how to parameterize a circle for line integrals
  • Study the concept of vector fields and their applications in physics
  • Explore the computation of line integrals in polar coordinates
  • Practice evaluating line integrals with various vector fields
USEFUL FOR

Students studying vector calculus, particularly those focusing on line integrals and their applications in physics and engineering.

Cryphonus
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Homework Statement



Evaluate the line integral along the segment P1(0,3) to P2(-3,0) of the circular path shown in figure.

Figure basically shows a circle with a radius of 3. The part that i have to evaluate is from the y-axis (P1) to the x-axis (P2), basically a quarter of the circle.



Homework Equations



integral from P1 to P2 of E.dl



The Attempt at a Solution



I just can't write the equation to begin with.

i would be glad if you can give me some hints about the equation that i have to integrate, thanks a lot!
 
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Cryphonus said:

Homework Statement



Evaluate the line integral along the segment P1(0,3) to P2(-3,0) of the circular path shown in figure.

Figure basically shows a circle with a radius of 3. The part that i have to evaluate is from the y-axis (P1) to the x-axis (P2), basically a quarter of the circle.



Homework Equations



integral from P1 to P2 of E.dl



The Attempt at a Solution



I just can't write the equation to begin with.

i would be glad if you can give me some hints about the equation that i have to integrate, thanks a lot!

I'm afraid there aren't any mind readers here. If you can't write down the equation you need help with, how are we to help you figure out how to work it?
 
oh sorry i thought it was there E= (x) x - (y) y variables in the paranthesis refers to the direction. i still need to express dl somehow.
 

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