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Conisder a neutral conducting sphere. A ...

Conisder a neutral conducting sphere. A poistive point charge is placed outisde the sphere. The net charge on the sphere is then

A

Negative and distributed uniformly over the surface of the sphere

B

Negative and appears only at the point on the sphere closed to the point charge

C

Negative and distributed non-uniformly over the entire surface of the sphere

D

zero

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation involving a neutral conducting sphere and an external positive point charge. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand the Initial Condition - We start with a neutral conducting sphere. This means that the total charge on the sphere is zero, with an equal number of positive and negative charges (protons and electrons). **Hint:** Remember that a neutral object has no net charge, meaning the number of positive and negative charges are equal. ### Step 2: Introduce the External Positive Charge - When a positive point charge is placed outside the conducting sphere, it creates an electric field around it. This electric field influences the charges within the conducting sphere. **Hint:** Consider how electric fields affect charges in conductors. Positive charges attract negative charges and repel positive charges. ### Step 3: Induction of Charges - The external positive charge will attract the negative charges (electrons) within the conducting sphere towards the side of the sphere that is closest to the positive charge. This results in a separation of charges within the sphere: negative charges accumulate on the side nearest to the positive charge, while positive charges are pushed away to the opposite side. **Hint:** Think about how conductors respond to external electric fields. Charges redistribute themselves to maintain electrostatic equilibrium. ### Step 4: Net Charge on the Sphere - Despite the separation of charges, the total amount of charge on the conducting sphere remains unchanged. Since the sphere was initially neutral, it still has a net charge of zero. The charges are simply redistributed but not created or destroyed. **Hint:** Remember that the law of conservation of charge states that charge cannot be created or destroyed in an isolated system. ### Step 5: Conclusion - Therefore, the net charge on the conducting sphere remains zero, even though there is a distribution of charges due to the influence of the external positive charge. **Final Answer:** The net charge on the sphere is zero. ---
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