Let G = 15ra,. (a) Determine 6G dL for the circular path r = 5 , 0= 25", Os øs 27. (b ) Evaluate [. (V×G)·ds over the spherical cap r = 5 , 0s0s 25" ,0 s øs 27.
Brief description:
In the given question they have mentioned a vector point function which is present in spherical co-ordinate system.
Vector point function is varying only along phi direction.
Here they want to know the line integral of the given vector point function at a given point.
Mainly line integral will depends upon in which plane we are calculating the line integration and limits of the line integral.
According to the stokes theorem also we can able to evaluate the both the integrals.
If both questions are resulting in same answer then we can say stokes theorem is validated.
By considering spherical coordinate system parameters with reference of differential length and differential surface we have computed the line integral of the given vector point function or surface.
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