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A hollow metal sphere of radius 10 cm is chargedsuch that the potential on its surface is 80 V. Thepotential at the centre of the sphere is [1994]
- a)zero
- b)80 V
- c)800 V
- d)8 V
Correct answer is option 'B'. Can you explain this answer?
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A hollow metal sphere of radius 10 cm is chargedsuch that the potentia...
Potential at the centre of the sphere
= potential on the surface = 80 V.
= potential on the surface = 80 V.
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A hollow metal sphere of radius 10 cm is chargedsuch that the potentia...
Given: radius of hollow metal sphere = 10 cm, potential on its surface = 80 V
To find: potential at the centre of the sphere
Assumption: The sphere is a conductor and is in electrostatic equilibrium.
Explanation:
As the sphere is a conductor in electrostatic equilibrium, the electric field inside the sphere is zero. Therefore, the potential at any point inside the sphere is the same as the potential at its surface.
The potential at the surface of the sphere is given as 80 V. Therefore, the potential at the centre of the sphere will also be 80 V.
Hence, the correct option is (b) 80 V.
Note: The potential at any point inside a conductor in electrostatic equilibrium is constant and equal to the potential at its surface. This is a consequence of the fact that the electric field inside the conductor is zero and the potential is constant along any equipotential surface.
To find: potential at the centre of the sphere
Assumption: The sphere is a conductor and is in electrostatic equilibrium.
Explanation:
As the sphere is a conductor in electrostatic equilibrium, the electric field inside the sphere is zero. Therefore, the potential at any point inside the sphere is the same as the potential at its surface.
The potential at the surface of the sphere is given as 80 V. Therefore, the potential at the centre of the sphere will also be 80 V.
Hence, the correct option is (b) 80 V.
Note: The potential at any point inside a conductor in electrostatic equilibrium is constant and equal to the potential at its surface. This is a consequence of the fact that the electric field inside the conductor is zero and the potential is constant along any equipotential surface.
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A hollow metal sphere of radius 10 cm is chargedsuch that the potential on its surface is 80 V. Thepotential at the centre of the sphere is [1994]a)zerob)80 Vc)800 Vd)8 VCorrect answer is option 'B'. Can you explain this answer?
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