Question

I am currently struggling with an electric field problem. Any help would be appreciated. Thank you. (The problem is attached in the image below)

Answer 1

I believe the first two answers are zero and understand why. However I am still struggling with the last two.

Answer 2

I am a little confused with how the integral will help us with 3 or 4.

Answer 3

So for four I would plug in values but how would I solve for 3.

Answer 4

O I see now. Thank you for your help. I also found a site which explains integrating electric fields. If you care to check it out it here: http://tinyurl.com/n9syz

Answer 5

Oh, as a current engineering student, I thought that integrating electric fields was an easier method. But the link that c_c_mill provides shows an unusual way that I've never used before, manipulating three-dimensional integration techniques in a very nonlinear fashion. I'm quite intrigued, to be honest.

Answer 6

Understandable. Just looking at further applications of physics... knowing that further calculation of electric fields occurs in 3D space, the methodology given by c_c_mill's web link at http://tinyurl.com/n9syz actually makes a lot of sense to a non-calculus student, as in simple introductory physics. Your methodology makes perfect sense, @Michele_Laino, but this other method is certainly unique.