Question
Medium
Solving time: 3 mins
A nonconducting spherical shell, of inner radius and outer radius , has a volume charge density , where is a constant and is the distance from the centre of the shell. At the centre of shell a positive point charge is placed. What should be the value of constant such that the electric field in the shell is to be uniform.
Text solutionVerified
The total charge of shell from inner radius to radius is given as
Electric field in the annular region of shell is given as
Above electric field will be uniform only when
Electric field in the annular region of shell is given as
Above electric field will be uniform only when
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Question Text | A nonconducting spherical shell, of inner radius and outer radius , has a volume charge density , where is a constant and is the distance from the centre of the shell. At the centre of shell a positive point charge is placed. What should be the value of constant such that the electric field in the shell is to be uniform. |
Updated On | Jul 6, 2022 |
Topic | Electrostatic Potential and Capacitance |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 202 |
Avg. Video Duration | 16 min |