 #1
 132
 3
Homework Statement
The region is a circle with radius=a
Homework Equations
Using Faraday's law to find E.
The Attempt at a Solution
Dealing with the Left side of the second equation first
1.) Pull out the Partial/partial t because it is a constant in this equation
2.) Now I have B dot (nhat) da
3.) Using the dot product I know that I have Bdacos(theta)
4.) the angle between them is zero so I have B*da
5.) I can pull B out and integrate over the area of the circle which gives me A=2(pi)(r)^2 =2(pi)(a)^2
6.) Now I have
[2(pi)(a)^2 * Partial(B)/partial t] this is also equal to equation 1 our emf induced
7.) Taking the partial of B with respect to t gives me
[2(pi)(a)^2 *
Now I deal with the right side of equation 2 which is equal to 7.)
[/B]
8.) I know that E is parallel to dl and that I can pull E out
9.) Now I integrate over dl which just gives me
E*2(pi)(r)= [2(pi)(a)^2 *
of course excluding the B(x,y,t).
Then I divide by 2(pi)r)
Which will give me E if I did everything correctly
Attachments

3.6 KB Views: 315