Presentation is loading. Please wait.

Presentation is loading. Please wait.

7 October 2010http://www.oregonstate.edu/portfolioswiki Vector Integrals and Electrostatics Corinne Manogue Tevian Dray

Similar presentations


Presentation on theme: "7 October 2010http://www.oregonstate.edu/portfolioswiki Vector Integrals and Electrostatics Corinne Manogue Tevian Dray"— Presentation transcript:

1 7 October 2010http://www.oregonstate.edu/portfolioswiki Vector Integrals and Electrostatics Corinne Manogue Tevian Dray http://physics.oregonstate.edu/portfolioswiki

2 7 October 2010http://www.oregonstate.edu/portfolioswiki

3 7 October 2010http://www.oregonstate.edu/portfolioswiki Curvilinear Coordinates

4 7 October 2010http://www.oregonstate.edu/portfolioswiki Curvilinear Basis Vectors

5 7 October 2010http://www.oregonstate.edu/portfolioswiki Curvilinear Basis Vectors

6 7 October 2010http://www.oregonstate.edu/portfolioswiki The Vector Differential

7 7 October 2010http://www.oregonstate.edu/portfolioswiki The Vector Differential

8 7 October 2010http://www.oregonstate.edu/portfolioswiki The Ring Consider a very thin ring of charge with radius R and total charge Q. Find the electrostatic potential due to this ring everywhere in space.

9 7 October 2010http://www.oregonstate.edu/portfolioswiki Potential Due to a Ring of Charge

10 7 October 2010http://www.oregonstate.edu/portfolioswiki The Ring Consider a very thin ring of charge with radius R and total charge Q. Find the electric field due to this ring everywhere in space.

11 7 October 2010http://www.oregonstate.edu/portfolioswiki Steady Current

12 7 October 2010http://www.oregonstate.edu/portfolioswiki The Spinning Ring Consider a very thin ring of charge with radius R and total charge Q. The ring is rotating about its axis with period T. Find the vector potential due to this ring everywhere in space.

13 7 October 2010http://www.oregonstate.edu/portfolioswiki An Example Typical of EARLY upper-division work for physics majors and many engineers. Solution requires: –many mathematical strategies, –many geometrical and visualization strategies, –only one physics concept. Demonstrates different use of language.

14 7 October 2010http://www.oregonstate.edu/portfolioswiki Potential Due to Charged Disk What is the electrostatic potential at a point, on axis, above a uniformly charged disk?

15 7 October 2010http://www.oregonstate.edu/portfolioswiki One Physics Concept Coulomb’s Law:

16 7 October 2010http://www.oregonstate.edu/portfolioswiki Superposition Superposition for solutions of linear differential equations:

17 7 October 2010http://www.oregonstate.edu/portfolioswiki Chopping and Adding Integrals involve chopping up a part of space and adding up a physical quantity on each piece.

18 7 October 2010http://www.oregonstate.edu/portfolioswiki Computational Skill Can the students set-up and do the integral?

19 7 October 2010http://www.oregonstate.edu/portfolioswiki Constants vs. Variables Which of these symbols are constants and which are variables?

20 7 October 2010http://www.oregonstate.edu/portfolioswiki Limits (Far Away)

21 7 October 2010http://www.oregonstate.edu/portfolioswiki The Spinning Ring - Limits Approximate this vector potential near the center of the ring, in the plane of the ring. Approximate this vector potential near the center of the ring, along the z-axis. Approximate this vector potential far from the ring, in the plane of the ring. Approximate this vector potential far from the ring, along the z-axis.

22 7 October 2010http://www.oregonstate.edu/portfolioswiki Steady Current


Download ppt "7 October 2010http://www.oregonstate.edu/portfolioswiki Vector Integrals and Electrostatics Corinne Manogue Tevian Dray"

Similar presentations


Ads by Google