Question

A wire of radius a=0.001m is placed on the axis of a hollow conducting cylinder of radius b=0.2m. Assume the length of the wire is very long (L>>b). The outer cylinder is grounded and the linear charge density of the wire is ?=2.5??C/m. a) Determine the linear charge density on the outer cylinder. b) Determine the magnitude of the E-field inside the wire. c) Determine the magnitude of the E-field at a distance R=1.0m from the center of the wire. d) Write an expression for the E-field for a<R<b in terms of R and ?. e) Determine the potential difference between the wire and the cylinder. f) Sketch some Lines-of-Force for this system. g) Determine the potential energy of an electron located near the surface of the wire. Assume the electric potential on the cylinder is zero (V(b)=0).

          A wire of radius a=0.001m is placed on the axis of a hollow conducting cylinder of radius b=0.2m. Assume the length of the wire is very long (L>>b). The outer cylinder is grounded and the linear charge density of the wire is ?=2.5??C/m.

a) Determine the linear charge density on the outer cylinder.
b) Determine the magnitude of the E-field inside the wire.
c) Determine the magnitude of the E-field at a distance R=1.0m from the center of the wire.
d) Write an expression for the E-field for a<R<b in terms of R and ?.
e) Determine the potential difference between the wire and the cylinder.
f) Sketch some Lines-of-Force for this system.
g) Determine the potential energy of an electron located near the surface of the wire. Assume the electric potential on the cylinder is zero (V(b)=0).

A wire of radius a=0.001m is placed on the axis of a hollow conducting cylinder of radius b=0.2m. Assume the length of the wire is very long (L>>b). The outer cylinder is grounded and the linear charge density of the wire is ?=2.5??C/m.

a) Determine the linear charge density on the outer cylinder.
b) Determine the magnitude of the E-field inside the wire.
c) Determine the magnitude of the E-field at a distance R=1.0m from the center of the wire.
d) Write an expression for the E-field for a<R<b in terms of R and ?.
e) Determine the potential difference between the wire and the cylinder.
f) Sketch some Lines-of-Force for this system.
g) Determine the potential energy of an electron located near the surface of the wire. Assume the electric potential on the cylinder is zero (V(b)=0).

Added by Valerie W.

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