Recent content by nissan4l0

http://imgur.com/SnHyP What are the mathematical steps and assumptions to reach the conclusion that length(ab) ≈ dx + ∂u/∂x*dx ? If you consider the the squares of the gradients to be negligible, you still have a square root and multiplication by the constant "2". What other assumptions do...

http://imgur.com/SnHyP What are the mathematical steps and assumptions to reach the conclusion that length(ab) ≈ dx + ∂u/∂x*dx ? If you consider the the squares of the gradients to be negligible, you still have a square root and multiplication by the constant "2". What other assumptions do...

Ok, thank you! I am taking a differential equations class but I have forgotten about the method of partial fractions. I will relearn it, and I will post my solution shortly.

Homework Statement Solve the indefinite integral Homework Equations \int\frac{dy}{y(1-y)} How do I best approach this problem? I have been stuck for hours!

Thank you very much, jtbell. I now understand. You also brought up the fact that the scenario changes if the line was not infinitely long, which also makes sense. I appreciate it!

jtbell, I have continued to analyze your picture, and I believe it has helped me understand now. Your image is also applicable to the end caps, since it is an infinite line, the charges found outside of the Gaussian surface also contribute to the field at the end caps. Thus, the net flux...

I understand how the surface of the cylinder along the line has the perpendicular component of E. What I don't understand, is, my book claims that the ends have no field component perpendicular to them. I understand that Ey does not give any flux to the ends, but what about the Ex component at...

I am having trouble understanding the concept of cylindrical symmetry in an infinitely long line. Please picture a finite Gaussian cylinder enclosing a portion of the length of the line, parallel to the line. My book states that there cannot be any component of E perpendicular to the...

Ok, thanks guys it all makes sense to me now that I read and understood your postings. I appreciate it!

My textbook, University Physics 12th ed, claims that the sign of x-acceleration does not tell you whether a body is speeding up or slowing down. It claims that the body is speeding up only when the velocity and acceleration have the same sign. Likewise, it claims that a body is slowing down...