macmillan learning A long, conductive cylinder of radius R1 2.95 cm and uniform

Question

macmillan learning A long, conductive cylinder of radius R1 2.95 cm and uniform charge per unit length 755 pc/rm is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.3 cm and R3 = 11.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p 40.5 pC/m3, find the magnitude of the electric field at the following radial distances from the central axis: Number 1.36 cm N/ C Number R, R, 2 3 5.61 cm N/ C Number 10.5 cm N/C Number 20.4 cm N/ C

Explanation / Answer

a] E1 = 2k lambda/ r = 0  N/C as all charge will be on surface

b] E2 =  2k lambda/ r = 2*9e9*755e-12/5.61e-2 = 242.2 N/C

C] E3 =  2k lambda/ r = 2*9e9*[755e-12 + 40.5e-12*pi*(0.105^2-0.103^2)]/10.5e-2 = 129.4 N/C

d] E4 =  2k lambda/ r = 2*9e9*[755e-12 + 40.5e-12*pi*(0.118^2-0.103^2)]/20.4e-2 = 66.65 N/C

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