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A conducting sphere is negatively charge...

A conducting sphere is negatively charged. Which of the following statements is true?

A

The charge is uniformly distributed throughout the entire volume.

B

The charge is located at the center of the sphere.

C

The charge is located at the bottom of the sphere because of gravity.

D

The charge is uniformly distributed on the surface of the sphere.

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AI Generated Solution

The correct Answer is:
To determine which statement is true regarding a negatively charged conducting sphere, we can analyze the properties of conductors and the behavior of electric charges. ### Step-by-Step Solution: 1. **Understanding Charge Distribution in Conductors**: - When a conductor is charged, the free electrons within it will move in response to the electric field created by the charge. In the case of a negatively charged conducting sphere, the excess negative charge (electrons) will move to the surface of the sphere. **Hint**: Remember that in conductors, charges move freely until they reach equilibrium. 2. **Electric Field Inside a Conductor**: - According to electrostatic principles, the electric field inside a conductor in electrostatic equilibrium is zero. This means that any excess charge resides on the surface of the conductor and not within its volume. **Hint**: Think about Gauss's law and how it applies to the electric field inside a conductor. 3. **Charge Distribution**: - Since the charge is free to move, it will redistribute itself uniformly over the surface of the sphere. This is because the geometry of a sphere allows for uniform distribution of charge due to symmetry. **Hint**: Consider how the shape of the sphere influences the distribution of charge. 4. **Conclusion**: - Therefore, the correct statement regarding a negatively charged conducting sphere is that the charge is uniformly distributed on the surface of the sphere, not throughout the entire volume. **Hint**: Look for statements that mention the surface distribution of charge in conductors. ### Final Answer: The charge is uniformly distributed on the surface of the sphere.

To determine which statement is true regarding a negatively charged conducting sphere, we can analyze the properties of conductors and the behavior of electric charges. ### Step-by-Step Solution: 1. **Understanding Charge Distribution in Conductors**: - When a conductor is charged, the free electrons within it will move in response to the electric field created by the charge. In the case of a negatively charged conducting sphere, the excess negative charge (electrons) will move to the surface of the sphere. **Hint**: Remember that in conductors, charges move freely until they reach equilibrium. ...
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