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A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 volt. The potential at the centre of the sphere is
- a)8 volt
- b)zero
- c)800 volt
- d)80 volt
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A hollow metal sphere of radius 10 cm is charged such that the potenti...
The potential at the center of a hollow metal sphere can be determined by considering the properties of conductors and the concept of equipotential surfaces.
Conductors are materials that allow the free movement of electric charges. When a conductor is in electrostatic equilibrium, the electric field inside it is zero. This means that the potential at any point inside the conductor is constant.
A hollow metal sphere is a conductor, and when it is charged, the charges distribute themselves on the outer surface of the sphere. This is because charges repel each other and tend to move as far away from each other as possible. As a result, the electric field inside the hollow sphere is zero.
Since the electric field inside the hollow sphere is zero, the potential at any point inside the sphere is constant and equal to the potential on its surface. In this case, the potential on the surface of the sphere is given as 80 volts. Therefore, the potential at the center of the sphere is also 80 volts.
To summarize:
- A hollow metal sphere is a conductor, and charges distribute themselves on its outer surface.
- The electric field inside a conductor in electrostatic equilibrium is zero.
- The potential at any point inside a conductor is constant and equal to the potential on its surface.
- Therefore, the potential at the center of the hollow metal sphere is the same as the potential on its surface, which is 80 volts.
Conductors are materials that allow the free movement of electric charges. When a conductor is in electrostatic equilibrium, the electric field inside it is zero. This means that the potential at any point inside the conductor is constant.
A hollow metal sphere is a conductor, and when it is charged, the charges distribute themselves on the outer surface of the sphere. This is because charges repel each other and tend to move as far away from each other as possible. As a result, the electric field inside the hollow sphere is zero.
Since the electric field inside the hollow sphere is zero, the potential at any point inside the sphere is constant and equal to the potential on its surface. In this case, the potential on the surface of the sphere is given as 80 volts. Therefore, the potential at the center of the sphere is also 80 volts.
To summarize:
- A hollow metal sphere is a conductor, and charges distribute themselves on its outer surface.
- The electric field inside a conductor in electrostatic equilibrium is zero.
- The potential at any point inside a conductor is constant and equal to the potential on its surface.
- Therefore, the potential at the center of the hollow metal sphere is the same as the potential on its surface, which is 80 volts.
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Community Answer
A hollow metal sphere of radius 10 cm is charged such that the potenti...
A potential at the center is equal to the potential on its surface.so, answer is "D"
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A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 volt. The potential at the centre of the sphere isa)8 voltb)zeroc)800 voltd)80 voltCorrect answer is option 'D'. Can you explain this answer?
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