Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Figure shows a thick metallic sphere. If it is given a charge +Q, then electric field will be present in the region
A
r < R 1 only
B
r > R 1 and R 1 < r < R 2
C
r 
R 2 only
R 2 only
D
r 
R 2 only
R 2 only
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Understand Gauss's law, which states that the electric flux through a closed surface is proportional to the charge enclosed.
Step 2: For a thick metallic sphere with a charge +Q:
- Inside the inner radius (r < R1): The electric field E = 0 because the charges reside on the surface.
- Between R1 and R2 (R1 < r < R2): The electric field is non-zero as the charge +Q contributes to the electric field.
- Outside the outer radius (r > R2): The electric field behaves as if all charge +Q is concentrated at the center (E ≠ 0).
Therefore, the electric field is present in the region r > R1 and R1 < r < R2, which corresponds to option B.
Step 2: For a thick metallic sphere with a charge +Q:
- Inside the inner radius (r < R1): The electric field E = 0 because the charges reside on the surface.
- Between R1 and R2 (R1 < r < R2): The electric field is non-zero as the charge +Q contributes to the electric field.
- Outside the outer radius (r > R2): The electric field behaves as if all charge +Q is concentrated at the center (E ≠ 0).
Therefore, the electric field is present in the region r > R1 and R1 < r < R2, which corresponds to option B.
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