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If two spheres of different radii have equal charge, then the potential will be
- a)dependent on nature of material of the spheres.
- b)more on smaller sphere
- c)more on bigger sphere
- d)equal on both spheres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If two spheres of different radii have equal charge, then the potentia...
The potential due to a charge Q is .
As seen from the above equation, potential is inversely proportional to the distance r from the centre.
Thus, a sphere with smaller radii will have a larger potential.
Most Upvoted Answer
If two spheres of different radii have equal charge, then the potentia...
Explanation:
When two spheres of different radii have equal charge, the potential will be more on the smaller sphere. This can be explained using the equation for electric potential.
Electric potential:
The electric potential at a point in space is given by the equation V = kQ/r, where V is the electric potential, k is the electrostatic constant, Q is the charge, and r is the distance from the charge.
Relation between potential and radius:
In the case of two spheres with equal charge, the charge Q is the same for both spheres. However, the radius of the spheres is different. Let's assume that the radius of the smaller sphere is r1 and the radius of the larger sphere is r2.
Comparison of electric potential:
Since the charge is the same for both spheres, the only difference in the electric potential equation is the distance from the charge. As the distance from the charge decreases (i.e., when the radius is smaller), the electric potential increases. Therefore, the electric potential will be more on the smaller sphere.
Reason:
The reason for this is that the electric potential is inversely proportional to the distance from the charge. When the radius of the sphere is smaller, the distance from the charge is smaller, leading to a higher electric potential. On the other hand, when the radius of the sphere is larger, the distance from the charge is larger, resulting in a lower electric potential.
Conclusion:
Therefore, when two spheres of different radii have equal charge, the electric potential will be more on the smaller sphere. This is because the electric potential is inversely proportional to the distance from the charge, and the distance is smaller for the smaller sphere.
When two spheres of different radii have equal charge, the potential will be more on the smaller sphere. This can be explained using the equation for electric potential.
Electric potential:
The electric potential at a point in space is given by the equation V = kQ/r, where V is the electric potential, k is the electrostatic constant, Q is the charge, and r is the distance from the charge.
Relation between potential and radius:
In the case of two spheres with equal charge, the charge Q is the same for both spheres. However, the radius of the spheres is different. Let's assume that the radius of the smaller sphere is r1 and the radius of the larger sphere is r2.
Comparison of electric potential:
Since the charge is the same for both spheres, the only difference in the electric potential equation is the distance from the charge. As the distance from the charge decreases (i.e., when the radius is smaller), the electric potential increases. Therefore, the electric potential will be more on the smaller sphere.
Reason:
The reason for this is that the electric potential is inversely proportional to the distance from the charge. When the radius of the sphere is smaller, the distance from the charge is smaller, leading to a higher electric potential. On the other hand, when the radius of the sphere is larger, the distance from the charge is larger, resulting in a lower electric potential.
Conclusion:
Therefore, when two spheres of different radii have equal charge, the electric potential will be more on the smaller sphere. This is because the electric potential is inversely proportional to the distance from the charge, and the distance is smaller for the smaller sphere.
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Community Answer
If two spheres of different radii have equal charge, then the potentia...
When equal charges are given to two spheres of different radii, the potential will be more or the smaller sphere as per the equation, Potential = Charge / Radius.
Since potential is inversely proportional to radius, the smaller radius will have higher potential and vice versa.
Since potential is inversely proportional to radius, the smaller radius will have higher potential and vice versa.
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If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer?
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