A hole of radius R 1 = 0.6 m is drilled alongthe symmetry axis of an infinite, n

Question

A hole of radius R1 = 0.6 m is drilled alongthe symmetry axis of an infinite, non-conducting solid cylinder ofradius R2 = 2.7 m. The resulting annularcylinder is given a uniform volume charge density r = +1 µC/m3.

(a) Calculate the magnitude of the electric fieldE at the following values of r, wherer is the radial distance measured perpendicularly from theaxis of symmetry (z-axis).

At r = 0.3 m: E =

At r = 0.9 m: E =

At r = 5.4 m: E =

A hole of radius R1 = 0.6 m is drilled alongthe symmetry axis of an infinite, non-conducting solid cylinder ofradius R2 = 2.7 m. The resulting annularcylinder is given a uniform volume charge density r = +1 µC/m3.

(a) Calculate the magnitude of the electric fieldE at the following values of r, wherer is the radial distance measured perpendicularly from theaxis of symmetry (z-axis).

At r = 0.3 m: E =

At r = 0.9 m: E =

At r = 5.4 m: E =

Explanation / Answer

R1 = 0.6 m, R2 = 2.7 m. = +1 µC/m3.

(a) the magnitude of the electric field E atr,

E*2rL = qinside/o

E = qinside/(2orL)

At r = 0.3 m: qinside = 0

E = 0

At r = 0.9 m: qinside =*(r2 - R12)L

E = (r2 -R12)(2or) =2.83*104 N/C

At r = 5.4 m: qinside =*(R22 -R12)L

E = (R22 -R12)(2or) =6.88*104 N/C

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