00:01
Hi, today we're going to be working on problem two of the university physics textbook, volume 2.
00:06
This problem is asking us to find the minimum and maximum flux values of the situation where we have some planar surface of area a, which is placed in a uniform electric field of magnitude e not.
00:19
So in order to do this problem, let's first remember our definition of flux, which is going to be flux is equal to the dot product of the electric.
00:33
Field and the area.
00:37
But since we are working with vectors, we're working with magnitudes here, we can rewrite this in its magnitude form as the magnitude of the electric field times the area, times the cosine of the angle between the electric field and the normal vector for the planar surface, which i've chosen to represent as theta here.
00:55
So let's go ahead and rewrite this for our specific situation where we have that the electric flux is equal to e .0, which represents our uniform electric field, times the area, times, of course, the cosine of the angle between them.
01:12
So in order to figure out the minimum and maximum values of flux, we have to consider the extreme cases for cosine of theta because the magnitude of the electric field in the area aren't going to be changing.
01:23
It's just the angle between the electric field and the normal vector.
01:28
So let's consider our case where our theta is minimized.
01:34
That is when the angle is zero...