I've concluded that the calculation is correct for my problem and it is ρr/2εo.
But, I don't understand where they get the R^2 in the bottom of their equation on hyperphysics. It has to come from the A part of EA=Qin/eps, but how? Shouldn't A always be in terms of the gaussian surface, which...
When I calculate it, I get ρr/2εo.
But the website above says something different, so I am clueless as to what to put if this problem were on my test tomorrow(today lol).
So I would get E(2πrL)=(ρπr^2L)/εo and E=ρr/2εo.
But this website says I am wrong so I am now very confused
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elecyl.html#c3
It is saying for r<R, E should be completely different. Can someone please clear this up?
Does the size of the dielectric affect the answer?
C for parallel plates= (eps)A/d
I used that to get C(i) and then multiply by the dielectric coefficient, but I am still incorrect
Homework Statement
The plates of a parallel plate capacitor measure 15cm x 15cm, and they are separated by 6cm. The capacitor is charged with a potential difference of 18V, then removed from the voltage source and kept isolated. A 15cm x 15cm x 3cm slab of dielectric material (k = 2.5) is...
Since r<R, R will never appear in the equation since my dA vector relates to r and Qin also relates to r. I would simply replace R with r in my equation and solve, yielding ρr/2εo. Is this logic correct?
I think I just failed to remember that in the basic form of the equation, you are...
If anyone knows where to start on this problem or can point me in the right direction, it would be greatly appreciated. I have access to online tutoring through cengage and two tutors were unable to help me with it so I am getting desperate.
Homework Statement
An infinitely long, non-conducting cylinder of radius R carries a uniform volume charge density ρ. Find the magnitude of the electric field for 0 < r < R
Homework Equations
EA=Qin/εo
The Attempt at a Solution
I am debating whether the answer should be ρr^2/2εoR...
1. The problem statement
The electric field E (arrows) is produced by a point charge. Find R in meters
Homework Equations
E(due to pt charge) = kq/R^2
# of field lines/unit area represents relative field strength (only statement in my notes that seems to apply to problem)
The...