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Charge is distributed throughout a very long cylindrical volume of radius R such that the charge density increases with the distance r from the central axis of the 54. cylinder according to p= ar, where a is a constant. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E = 3€0 (r< R); 3 E = aR (r > R). 3eor

Charge is distributed throughout a very long cylindrical volume of radius R such that the charge density increases with the distance r from the central axis of the 54. cylinder according to p= ar, where a is a constant. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E = 3€0 (r< R); 3 E = aR (r > R). 3eor

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54. Charge is distributed throughout a very long cylindrical volume of radius R such that the charge density increases with the distance r from the central axis of the cylinder according to p= ar, where a is a constant. Show that the field of this charge distribution is directed radially with respect to the cylinder and that .2 E = ar (r< R); E = (r > R). 3eor
Transcribed Image Text:54. Charge is distributed throughout a very long cylindrical volume of radius R such that the charge density increases with the distance r from the central axis of the cylinder according to p= ar, where a is a constant. Show that the field of this charge distribution is directed radially with respect to the cylinder and that .2 E = ar (r< R); E = (r > R). 3eor
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