Charged sphere and neutral rod

In summary, a charged sphere with 1×108 units of negative charge is brought near a neutral metal rod. This causes a redistribution of charges in the rod, resulting in a surplus charge of 2×10^4 units on the half of the rod closer to the sphere. Since the total charge of the rod remains zero, the other half of the rod must have a charge of -2×10^4 units to balance it out. This is due to the principle of conservation of charge.
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JinYoung
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I'm totally confused what the question is asking. I do not know how to start... please help

A charged sphere with 1×108 units of negative charge is brought near a neutral metal rod. The half of the rod closer to the sphere has a surplus charge of 2×10^4 units. What is the magnitude of the charge on the half of the rod farther from the sphere?
 
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The rod was initially neutral, so the total charge it carries is zero. After a charged sphere is brought near to one end of the rod, the charges in the rod redistribute themself such that the half closer to the rod now is more positively charged with the said amount. Using the argument of conservation of total charge in the rod (before redistribution = after redistribution), you can find the remaining charge at the other end of the rod.

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Related to Charged sphere and neutral rod

1. What is the difference between a charged sphere and a neutral rod?

A charged sphere is an object with a net electric charge, meaning it has an excess of either positive or negative charges. A neutral rod, on the other hand, has an equal number of positive and negative charges, resulting in no net charge.

2. How can a charged sphere and a neutral rod interact with each other?

A charged sphere and a neutral rod can interact through the process of induction. When a charged sphere is brought near a neutral rod, the charges in the rod will rearrange, causing one end to become slightly positive and the other end to become slightly negative. This creates an electric field that can attract or repel the charged sphere.

3. What happens to the charges in a charged sphere and a neutral rod when they are brought into contact?

When a charged sphere and a neutral rod are brought into contact, the charges will redistribute between the two objects until they reach a state of equilibrium. This means that the net charge will be evenly distributed between the two objects, resulting in both the sphere and the rod having a partial charge.

4. Can a charged sphere and a neutral rod attract each other?

Yes, a charged sphere and a neutral rod can attract each other due to the process of induction. As mentioned before, the charges in the rod will rearrange when the charged sphere is brought near, creating an electric field that can attract the charged sphere towards the rod.

5. How does the distance between a charged sphere and a neutral rod affect their interaction?

The strength of the interaction between a charged sphere and a neutral rod is inversely proportional to the square of the distance between them. This means that the closer the objects are, the stronger the interaction will be. As the distance increases, the strength of the interaction decreases.

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