( Electric - Gauss's Law ) I dont understand, I need urgent help.
A very long conducting cylinder of radius \(\mathrm{R}\) earries a uniform surface charge with a constant surface charge density of \(\sigma\).
a) Find electric field everywhere created by this cylinder.
b) Find the potential difference between a point \(2 R\) away from the central axis of the cylinder and the surface of the cylinder \((\Delta V=V(r=2 R)-V(r=R)=?)\)
c) Find the work done by \(\vec{E}\) - field on a point charge \(q_{0}\) if this point charge moves from the surface of the cylinder to a point \(2 R\) away from the central axis of the cylinder.
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Gauss's Law in 3, 2, and 1 Dimension
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Please help me with this problem. I don't understand how to set
it up and how to calculate the solutions.
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cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
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