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The electric field at a distance 3R/2 rom the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is
  • a)
    zero
  • b)
    E
  • c)
    E/2
  • d)
    E/3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The electric field at a distance 3R/2rom the centre of a charged condu...

Explanation:

- Electric Field Inside a Conductor:
When we have a conducting shell, the electric field inside it is always zero. This is because the charges on the shell rearrange themselves in such a way that the electric field inside the conductor cancels out.

- Electric Field Outside the Conductor:
The electric field outside a charged conducting shell is the same as that of a point charge located at the centre of the shell. This is because the shell behaves as if all its charge is concentrated at the centre.

- Given Situation:
In this case, the electric field at a distance 3R/2 from the centre of the shell is E. This means that the shell behaves as a point charge at its centre at this distance.

- Electric Field at a Distance R/2:
When we move closer to the centre of the shell to a distance of R/2, we are now inside the shell. As discussed earlier, the electric field inside a conductor is always zero.

Therefore, the electric field at a distance R/2 from the centre of the conducting shell is zero (option A).
Free Test
Community Answer
The electric field at a distance 3R/2rom the centre of a charged condu...


Given Information:

- Electric field at a distance 3R/2 from the centre of a charged conducting spherical shell of radius R is E.

Explanation:

- Inside a charged conducting spherical shell, the electric field is zero. This is because the charges on the shell redistribute themselves in such a way that the electric field inside the shell cancels out.

- Since the electric field at a distance of 3R/2 from the centre of the shell is E, it implies that the electric field inside the shell is zero up to a distance of 3R/2.

- Therefore, at a distance of R/2 from the centre of the shell (which is within the shell), the electric field will be zero.

Conclusion:

Hence, the electric field at a distance R/2 from the centre of the spherical shell is zero.
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The electric field at a distance 3R/2rom the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre ofthe sphere isa)zerob)Ec)E/2d)E/3Correct answer is option 'A'. Can you explain this answer?
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