## Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of rad

Question

Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm. Determine the magnitude of the electric field at a point which is 2.0 mm from the symmetry axis.

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2021-07-21T22:26:56+00:00
2021-07-21T22:26:56+00:00 1 Answers
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## Answers ( )

Answer: Magnitude of the electric field at a point which is 2.0 mm from the symmetry axis is 18.08 N/C.Explanation:Given:Density = 80 (1 n = m) == 1.0 mm (1 mm = 0.001 m) = 0.001 m

= 3.0 mm = 0.003 m

r = 2.0 mm = 0.002 m (from the symmetry axis)

The charge per unit length of the cylinder is calculated as follows.Substitute the values into above formula as follows.

Therefore, electric field at r = 0.002 m from the symmetry axis is calculated as follows.

Substitute the values into above formula as follows.

Thus, we can conclude that

magnitude of the electric field at a point which is 2.0 mm from the symmetry axis is 18.08 N/C.