An external electric field is given by where A is a positive constant, ris the radial coordinate in the two dimensional polar coordinates, and i is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter circle of radius Rand a straight line of length 2R.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.10P
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An external electric field is given by
E =
where A is a positive constant, r is the radial coordinate in the two dimensional
polar coordinates, and i is the unit vector in the radial direction. Find work
done by an external force on a point charge of q moving from point a to point
b along the path as shown in the figure. The path consists of a quarter cirele of
radius R and a straight line of length 2R.
3R
R
a
Select one:
O Ag
3R
Aq
3R
24g
3R
2Aq
3R
O Ag
Transcribed Image Text:An external electric field is given by E = where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and i is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter cirele of radius R and a straight line of length 2R. 3R R a Select one: O Ag 3R Aq 3R 24g 3R 2Aq 3R O Ag
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