A very long, solid cylinder with radius R has positive chargeuniformly distributed throughout it, with charge per unit volume r.(a) Derive the expression for the electric field inside the volume at adistance r from the axis of the cylinder in terms of the charge density r.(b) What is the electric field at a point outside the volume in terms ofthe charge per unit length l in the cylinder? (c) Compare the answers toparts (a) and (b) for r = R. (d) Graph the electric-field magnitude as afunction of r from r = 0 to r = 3R.
A very long, solid cylinder with radius R has positive chargeuniformly distributed throughout it, with charge per unit volume r.(a) Derive the expression for the electric field inside the volume at adistance r from the axis of the cylinder in terms of the charge density r.(b) What is the electric field at a point outside the volume in terms ofthe charge per unit length l in the cylinder? (c) Compare the answers toparts (a) and (b) for r = R. (d) Graph the electric-field magnitude as afunction of r from r = 0 to r = 3R.
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A very long, solid cylinder with radius R has positive charge
uniformly distributed throughout it, with charge per unit volume r.
(a) Derive the expression for the electric field inside the volume at a
distance r from the axis of the cylinder in terms of the charge density r.
(b) What is the electric field at a point outside the volume in terms of
the charge per unit length l in the cylinder? (c) Compare the answers to
parts (a) and (b) for r = R. (d) Graph the electric-field magnitude as a
function of r from r = 0 to r = 3R.
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