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Out of two copper spheres of the same size, x is hollow while y is solid. If they are charged at the same potential, what can be said about the charges on them?
- a)Charge on both the spheres is zero
- b)Charge on both the spheres is equal
- c)Sphere y will have more charge
- d)Sphere x will have more charge
Correct answer is option 'B'. Can you explain this answer?
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Charge on both the spheres is equal
When two objects are connected and charged at the same potential, the charge gets distributed evenly between them. This is known as charge sharing or charge transfer. In the case of the two copper spheres, let's analyze why the charge on both spheres would be equal.
Conductivity of Copper
Copper is a highly conductive material, meaning that it allows electric charges to move freely within it. When the spheres are charged, the excess charge will distribute itself over the entire surface of each sphere due to the high conductivity of copper.
Electrostatic Equilibrium
When the spheres are charged, they will reach a state of electrostatic equilibrium where the electric field inside the spheres is zero. In this state, the charges on the surface of each sphere will repel each other until they are evenly distributed.
Charge Distribution
Since sphere x is hollow, the excess charge will distribute itself evenly on the outer surface of the sphere. This is because the electric field inside a conductor is zero, and in order to achieve this, the charges will spread out as far as possible.
On the other hand, sphere y is solid, meaning that the excess charge will distribute itself evenly throughout the entire volume of the sphere. The charges will arrange themselves in such a way that they repel each other and spread out as much as possible.
Conclusion
Since both spheres are made of the same material (copper), and the charge on each sphere will distribute itself evenly over the surface or volume, the charge on both spheres will be equal. This is because the excess charge will repel each other until they are evenly distributed, regardless of whether the sphere is hollow (x) or solid (y).
Therefore, the correct answer is option 'B' - Charge on both the spheres is equal.
When two objects are connected and charged at the same potential, the charge gets distributed evenly between them. This is known as charge sharing or charge transfer. In the case of the two copper spheres, let's analyze why the charge on both spheres would be equal.
Conductivity of Copper
Copper is a highly conductive material, meaning that it allows electric charges to move freely within it. When the spheres are charged, the excess charge will distribute itself over the entire surface of each sphere due to the high conductivity of copper.
Electrostatic Equilibrium
When the spheres are charged, they will reach a state of electrostatic equilibrium where the electric field inside the spheres is zero. In this state, the charges on the surface of each sphere will repel each other until they are evenly distributed.
Charge Distribution
Since sphere x is hollow, the excess charge will distribute itself evenly on the outer surface of the sphere. This is because the electric field inside a conductor is zero, and in order to achieve this, the charges will spread out as far as possible.
On the other hand, sphere y is solid, meaning that the excess charge will distribute itself evenly throughout the entire volume of the sphere. The charges will arrange themselves in such a way that they repel each other and spread out as much as possible.
Conclusion
Since both spheres are made of the same material (copper), and the charge on each sphere will distribute itself evenly over the surface or volume, the charge on both spheres will be equal. This is because the excess charge will repel each other until they are evenly distributed, regardless of whether the sphere is hollow (x) or solid (y).
Therefore, the correct answer is option 'B' - Charge on both the spheres is equal.
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Out of two copper spheres of the same size, x is hollow while y is solid. If they are charged at the same potential, what can be said about the charges on them?a)Charge on both the spheres is zerob)Charge on both the spheres is equalc)Sphere y will have more charged)Sphere x will have more chargeCorrect answer is option 'B'. Can you explain this answer?
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