Recent content by Kaleem

You get z=√(x2+y2) ≤ ρ ≤1

You're right, I made a mistake when i factored it out, if i simplify I get 1 = tanφ, which gives me φ= π/4. Which confuses me, would the lower bound for ρ be π/4 or would that just be the upper bound for φ?

Homework Statement Describe using spherical coordinates the solid E in the first octant that lies above the half-cone z=√(x2+y2) but inside x2+y2+z2=1. Your final answer must be written in set-builder notation. Homework Equations ρ = x2+y2+z2 x = ρsinφcosθ y = ρsinφsinθ z = ρcosφ The Attempt...

I see exactly what you mean now, thank you!

What I got from this method so far is ρr2/2Rε0

Homework Statement Consider a long, cylindrical charge distribution of radius R with uniform charge density ρ. a) Using Gauss’s law, find the electric field at distance r from the axis, where r < R b) Using Gauss’s law, find the electric field at distance r from the axis, where r > R...

Here is the original picture and question, I found the original diagram a little more confusing.

This is what I have so far, in regards to an actual drawing of it, I believe we would take our radius as a

Really? I was assuming it would be a Linear charge distribution with our Gaussian surface being that of a cylinder, the main reason being that my professor would always relate λ with a linear charge.

I made one mistake in which part A) is suppose to be r<a rather than r>a, sorry about that. Other than that everything else is written exactly, like how the problem stated it. I also believe L is suppose to represent the length of the cylinderical shell.

Homework Statement An infinitely long, cylindrical, conducting shell of inner radius b and outer radius c has a total charge Q. A line of uniform charge distribution Λ is placed along the axis of the shell. Using Gauss's Law and justifying each step, determine. A) The Electric Field for r>a...

Now I see what you did, this method seems a lot simpler than what I was originally thinking. When I calculate the ΔV/Δt it will give me acceleration which I can then use to find the distance, I think I've got the hang of this now.

It was one of the only ways that I knew how to find the area under the line, since I haven't learned how to integrate yet.

Yes, I've been trying to use the trapezoid rule

How exactly did I mess up the areas?