We have a rectangular box with diagonal corners at (0,0,0) and (-1,2,3)cm. We place charge inside this box with distribution, ρ(r)=2x-3(z-1) with units of nC/m3. What is the total charge inside this box?
The Attempt at a Solution
I have an answer, but I am not sure if I thought about it correctly. I would greatly appreciate confirmation on my thinking, and my final answer if possible. Thanks a lot.
I started with a triple integral of the charge distribution over the bounds for all three dimensions. After integrating, I ended up with a result of 15. I finally converted that into 15E-15 C after factoring in the cm to m conversion and the nC to C conversion. Thanks again!