EDIT: I've put this in the wrong forum, haven't I? can this be moved/deleted?
Hi, just need a quick hand on an assignment question:
What I've done so far is (convert to spherical) parameterise byFind the flux of across the surface , where , and is the hemisphere , oriented in the direction of the positive y-axis.
And taken the vectors and , found their cross product as a normal vector, then taken the dot product with .
What results is something horrible (seeing as the integral must be taken), and it makes me think that something has gone very wrong:
Obviously I'm not looking for an answer to the problem, but I'm pretty sure that I've made an error somewhere, and I would appreciate it if someone could point it out. More details of the in-between steps can be supplied, if needed.
Thanks in advance.