Question

A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.40 cm, outer radius = 10.2 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? 

Answer 1

A)

Electric field, E = (2 x 10^-9)/(2 pi x 0.146 x 8.85 x 10^-12)

E = 246.35 N/C

B)

Charge density, s1 = (2 x 10^-9)/(2 pi x 0.044) = -7.23 x 10^-9 C/m^2

C)

Density, s2 = (7.23 x 10^-9) x 4.4/10.2 = 3.12 x 10^-9 C/m^2

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