sorry sir, don't know that... so we have the equation of the circle which is in cartesian (x^2 + y^2) and we can covert the x's and y's to spherical co-ordinates and then do the integral ?
i do believe phi goes from pi/2 to -pi/2. So the equation would become x^2 + y^2 = b^2. I don't think the problem wants us to really solve the whole thing, just do both integrals and show that they are both equal to each other.
Unless you want to convert a_phi into cartesian co-ordinates or try some funky business there... So we have one equation where x^2 + y^2 = 1. When we are going to do the integral of A.dl, dl = dxdy right? I really have no idea what a_phi could be to be honest...
I'm thinking the phi is the angular co-ordinate in the spherical co-ordinate system since we are working with a sphere. But I'm as confused as the next person, so I would go with a unit vector to make things easier and see if we can get a solution this way. This is pretty much the whole problem...
Yes I have double checked it. It's actually called F, but I don't think that should matter. It is a vector for sure, because the problem states, you are given a vector field.
Any suggestions?
Well I'm new to EM theory and I'm just soo stuck on this whole vector calculus thing. I know stokes theorem state's that Integral of \oint(A.dl) = \int(\nabla x A).dS
So I have to evaluate the 2 integrals separately.
The part that I'm stuck on is how to evaluate \oint(A.dl) integral when...
Homework Statement
A = sin(\phi/z)* a(\phi)
I'm having problem verifying Stokes Theorem. I have to verify the theorem over the upper half of the sphere with radius b and the sphere is centered at the origin. The problem also says z > = 0
Could someone help me with this.