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...
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...
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.