Consider a solid sphere of radius 5 cm made of a perfect electric cond...
For a perfect conductor the charge is present only on the surface.
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Consider a solid sphere of radius 5 cm made of a perfect electric cond...
Answer:
To determine the distribution of electrons on the solid sphere, we need to consider the behavior of electric charges on a conductor. When a conductor is in electrostatic equilibrium, the charges reside on the outer surface of the conductor. This is known as the "Faraday Cage" effect.
Explanation:
1. Electric Charge Distribution on a Conductor:
- In a conductor, the electrons are free to move within the material. When a conductor is brought into an electric field, the free electrons redistribute themselves on the surface of the conductor until the electric field inside the conductor becomes zero.
- This redistribution of electrons leads to an excess of negative charge on the surface of the conductor, creating an electric field that cancels out the electric field due to the external charges.
- In electrostatic equilibrium, the electric field inside the conductor is zero, and the charges reside on the outer surface of the conductor.
2. Solid Sphere of Perfect Electric Conductor:
- In the given scenario, we have a solid sphere made of a perfect electric conductor. Since it is a perfect conductor, the electrons are free to move within the material.
- When one million electrons are added to the sphere, they will redistribute themselves on the outer surface of the sphere due to the electric repulsion between them.
- The excess negative charge will accumulate on the outer surface of the sphere, while the inner volume of the sphere will have a neutral charge distribution.
- This distribution is possible because the sphere is a conductor, allowing the electrons to move freely on its surface and redistribute themselves to cancel out the electric field inside the conductor.
3. Distribution of Electrons:
- As a result, the electrons will be uniformly distributed over the outer surface of the sphere. This means that each unit area on the outer surface will have an equal number of electrons.
- The distribution will be such that the electric field inside the sphere is zero, and the charges on the outer surface create an electric field that cancels out the electric field due to the added electrons.
- The electrons will not be concentrated around the center of the sphere because the electric repulsion between them will cause them to spread out evenly on the outer surface.
- Similarly, the electrons will not be distributed along a straight line passing through the center of the sphere because they will repel each other and spread out over the curved surface of the sphere.
Hence, the correct answer is option 'B' - the electrons will be uniformly distributed over the outer surface of the sphere.
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