A long non-conducting cylinder has a charge density ? = ? r, where ? = 8.26 C/m4

Question

A long non-conducting cylinder has a charge

density ? = ? r, where ? = 8.26 C/m4

and r is in meters. Concentric around it is a hollow

metallic cylindrical shell.

What is the direction of the electric ?eld at

14.7 cm from the central axis?

1. Points radially outward.

2. Undetermined, since the ?eld is zero.

3. The electric ?eld is not a vector and therefore has no direction.

4. Points radially inward.

What is the surface charge density inside the

hollow cylinder?

Answer in units of C/m2

A long non-conducting cylinder has a charge density ? = ? r, where ? = 8.26 C/m4 and r is in meters. Concentric around it is a hollow metallic cylindrical shell. What is the direction of the electric ?eld at 14.7 cm from the central axis? Points radially outward. Undetermined, since the ?eld is zero. The electric ?eld is not a vector and therefore has no direction. Points radially inward. What is the surface charge density inside the hollow cylinder? Answer in units of C/m2

Explanation / Answer

it depends on the length L as well

if L was infinity it would point radially outward. in this case it depends on the angle between the gaxis and the line joining the point and the centre of the cylender.

the charge density is

-8.5370 C/m^2.

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