Line Integral dl in spherical polar coordinates

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Homework Statement



Hi guys,

I'm trying to evaluate a line integral, Integration of Vector A dot dL

The vector A was given to be a function of r, theta and fi in spherical polar coordinates.

The question states that an arbitrary closed loop C is the circle parametrised by fi at some arbitrary values of (r, theta).

I would like to ask the following questions:

(i) How do I rewrite dl, the line element, in terms of spherical polar co-ordinates? What does it mean by the closed curve C is the circle parametrised by fi at some arbitrary values of (r, theta). How does it change my dl if C wasn't a circle?

(ii) What are the limits of the line integral?



Thanks guys!



Homework Equations





The Attempt at a Solution

 

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