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In going from the surface of a charged c...

In going from the surface of a charged conducting sphere towards the centre of the sphere the electric field

A

increases

B

decreases

C

remains the same as on the surface

D

remains zero at every place

Text Solution

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The correct Answer is:
To solve the question regarding the behavior of the electric field as one moves from the surface of a charged conducting sphere towards its center, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Charged Conducting Sphere**: - A conducting sphere allows charges to move freely. When the sphere is charged, the excess charge resides on its outer surface due to the repulsion between like charges. **Hint**: Remember that in conductors, charges redistribute themselves to minimize repulsion. 2. **Electric Field Inside Conductors**: - One of the fundamental properties of conductors in electrostatic equilibrium is that the electric field inside a conductor is zero. This means that if you are inside the conducting material itself, there will be no electric field present. **Hint**: Recall Gauss's Law, which states that the electric field inside a conductor in electrostatic equilibrium is zero. 3. **Moving Towards the Center**: - As you move from the surface of the charged conducting sphere towards the center, you are moving into a region where the electric field is already established as zero. Therefore, regardless of how far you move inward, the electric field remains zero. **Hint**: Consider that the electric field is a vector quantity and is influenced by the distribution of charge. In this case, the charge is only on the surface. 4. **Conclusion**: - Since the electric field inside the conducting sphere is zero, it remains zero at every point as you move from the surface to the center of the sphere. **Hint**: Think about the implications of having no net charge inside a closed surface when applying Gauss's Law. ### Final Answer: The electric field in going from the surface of a charged conducting sphere towards the center of the sphere remains zero at every point.
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Knowledge Check

  • The electric field at a distance (3R)/2 from the centre of a charged conducting spherical shell of radiu 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`
  • The electric field at a distance 3R//2 from the centre of a charge conducting spherical shell of radius R is E . The electric field at a distance R//2 from the centre of the sphere is

    A
    `(E )/(2)`
    B
    zero
    C
    `E`
    D
    `(E )/(4)`
  • The electric field at a distance (3R)/2 from 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
    `E`
    B
    `3E/2`
    C
    `E/2`
    D
    Zero
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