Consider an an infinite coaxial cylinder: The inner cylinder is a full cylinder

Question

Consider an an infinite coaxial cylinder: The inner cylinder is a full cylinder of radius R1, the outer cylinder is a thick shell of inner radius R2 and outer radius R3. Let R1 = 1.5 cm, R2=4.5 cm and R3=6.5 cm. Assume charge density al= 6nC/m is running on the surface of the inner cylinder (it's a conductor) and that the outer cylinder is neutral (no net charge in the thick outer shell) We want to use Gauss's law to find what is the charge density on the inner and outer surfaces of the outer shell. a) From the properties of conductors, what is the electric field for r

Explanation / Answer

a)Both 0.

b)Total charge enclosed is 0. since the flux through the surface is 0.

c)Charge=L*6nC

Since charge enclosed is 0, charge on inner surface of the outer cylinder=-L*6nC

d)Charge density=-L*6nC/(2pi*R2*L)=-0.955nC/R2 C/m^2

Net charge on outer surface=L*6nC

Charge density=L*6nC/(2pi*R3*L)=0.955/R3 C/m^2

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