Question:
The electric field inside a uniformly charged spherical shell of radius R is ________.
The electric field inside a uniformly charged spherical shell of radius R is ________.
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Electrostatic shielding: Inside a conductor or a shell, the electric field is always zero.
Updated On: Jun 26, 2026
- directly proportional to the charge within the shell
- inversely proportional to $R^2$
- same as that outside the shell
- zero
- maximum at the centre
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Use Gauss's Law: $\oint E \cdot dA = \frac{q_{enclosed}}{\epsilon_0}$.
Step 2: Meaning
For any Gaussian surface inside the shell ($r < R$), the enclosed charge is zero because all charge resides on the outer surface.
Step 3: Analysis
Since $q_{enclosed} = 0$, then $E \cdot A = 0$.
Step 4: Conclusion
The electric field $E$ must be zero everywhere inside the shell. Final Answer: (D)
Use Gauss's Law: $\oint E \cdot dA = \frac{q_{enclosed}}{\epsilon_0}$.
Step 2: Meaning
For any Gaussian surface inside the shell ($r < R$), the enclosed charge is zero because all charge resides on the outer surface.
Step 3: Analysis
Since $q_{enclosed} = 0$, then $E \cdot A = 0$.
Step 4: Conclusion
The electric field $E$ must be zero everywhere inside the shell. Final Answer: (D)
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