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Question: Answered & Verified by Expert

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the centre O is represented by:

PhysicsElectrostaticsJEE MainJEE Main 2023 (08 Apr Shift 1)
Options:
  • A

    Dig 

  • B

     

  • C

     

  • D

     

Solution:
1039 Upvotes Verified Answer
The correct answer is:

Dig 

The electric field inside a solid insulated sphere is given by 

Einside=ρr3ε0 for r<R where ρ is volume charge density.

Hence, the electric field varies linearly with the distance as

Einside r1

Now, the electric field for r>R is given by 

Eoutside=Q4πε0r2

Eoutside1r2

Thus, the graph starts decreasing as a power law graph as shown in the figure for the region r>R.

Hence, this graph is the right option.

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