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A solid spherical conductor is given a charge.The electrostatic potential of the conductor is [2002]
- a)constant throughout the conductor
- b)largest at the centre
- c)largest on the surface
- d)largest somewhere between the centre andthe surface
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A solid spherical conductor is given a charge.The electrostatic potent...
Electric potential is constant
within or on the surface of conductor.Most Upvoted Answer
A solid spherical conductor is given a charge.The electrostatic potent...
Explanation:
The electrostatic potential of a conductor is defined as the amount of work done in bringing a unit positive charge from infinity to a point on the surface of the conductor. In the case of a solid spherical conductor, we can consider it to be made up of concentric shells.
Electrostatic Potential at the Centre:
At the centre of the sphere, all the charges are equidistant from it. Hence, the contribution of each charge cancels out with the other, and the net potential at the centre is zero.
Electrostatic Potential at the Surface:
At the surface of the sphere, the electrostatic potential is constant and the same throughout the surface. This is because the charge is uniformly distributed over the surface. Therefore, the potential difference between any two points on the surface is zero.
Electrostatic Potential Inside the Sphere:
Inside the sphere, the electrostatic potential decreases as we move towards the centre. This is because as we move towards the centre, the distance between the charge and the point decreases, and hence the potential also decreases. However, since the sphere is a conductor, the charge is distributed in such a way that the potential inside is constant and the same throughout.
Conclusion:
From the above explanation, it is clear that the electrostatic potential of a solid spherical conductor is constant throughout the conductor. Hence, option A is the correct answer.
The electrostatic potential of a conductor is defined as the amount of work done in bringing a unit positive charge from infinity to a point on the surface of the conductor. In the case of a solid spherical conductor, we can consider it to be made up of concentric shells.
Electrostatic Potential at the Centre:
At the centre of the sphere, all the charges are equidistant from it. Hence, the contribution of each charge cancels out with the other, and the net potential at the centre is zero.
Electrostatic Potential at the Surface:
At the surface of the sphere, the electrostatic potential is constant and the same throughout the surface. This is because the charge is uniformly distributed over the surface. Therefore, the potential difference between any two points on the surface is zero.
Electrostatic Potential Inside the Sphere:
Inside the sphere, the electrostatic potential decreases as we move towards the centre. This is because as we move towards the centre, the distance between the charge and the point decreases, and hence the potential also decreases. However, since the sphere is a conductor, the charge is distributed in such a way that the potential inside is constant and the same throughout.
Conclusion:
From the above explanation, it is clear that the electrostatic potential of a solid spherical conductor is constant throughout the conductor. Hence, option A is the correct answer.
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Community Answer
A solid spherical conductor is given a charge.The electrostatic potent...
As, it is mentioned in the question that it is an spherical conductor. So, all charge will reside on surface.
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A solid spherical conductor is given a charge.The electrostatic potential of the conductor is [2002]a)constant throughout the conductorb)largest at the centrec)largest on the surfaced)largest somewhere between the centre andthe surfaceCorrect answer is option 'A'. Can you explain this answer?
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