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A long charged cylinder of linear charged density is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?
Text solutionVerified
Charge density of the long charged cylinder of length L and radius r is .
Another cylinder of same length surrounds the pervious cylinder. The radius of this cylinder is R.
Let E be the electric field produced in the space between the two cylinders.
Electric flux through the Gaussian surface is given by Gauss’s theorem as,
Where, Distance of a point from the common axis of the cylinders
Let q be the total charge on the cylinder.
It can be written as
Where,
Charge on the inner sphere of the outer cylinder
Permittivity of free space
Therefore, the electric field in the space between the two cylinders is
.
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Question Text | A long charged cylinder of linear charged density is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders? |
Updated On | Jun 1, 2022 |
Topic | Electrostatic Potential and Capacitance |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 3 |
Upvotes | 292 |
Avg. Video Duration | 7 min |