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If the conductor has V ne 0 with zero ch...

If the conductor has `V ne 0` with zero charge then:

A

there cannot be any charge in the body of conductor

B

there must be charge on the surface or inside itself

C

there must be charge only on the surface

D

both (a) and (b)

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The correct Answer is:
To solve the problem, we need to analyze the situation where a conductor has a non-zero electric potential (V ≠ 0) but carries no net charge (Q = 0). ### Step-by-Step Solution: 1. **Understanding the Properties of Conductors**: - In electrostatics, a conductor in electrostatic equilibrium has certain properties. One key property is that the electric field inside a conductor is zero. This means that any excess charge resides on the surface of the conductor. **Hint**: Remember that conductors allow free movement of charge, leading to zero electric field inside. 2. **Potential Inside the Conductor**: - Since the electric field inside the conductor is zero, the potential inside the conductor is constant throughout. However, the problem states that the potential is not zero (V ≠ 0), indicating that the conductor is at some positive or negative potential. **Hint**: A constant electric field results in a constant potential; if V is not zero, it indicates a uniform potential throughout. 3. **Charge Distribution**: - Given that the conductor has zero net charge (Q = 0), it implies that the total charge distributed on the surface of the conductor must also sum to zero. However, this does not mean that the surface charge density is uniform; there can be positive and negative charges distributed on the surface such that they cancel each other out. **Hint**: Consider how charges can be distributed on the surface to maintain a net charge of zero while still allowing for a non-zero potential. 4. **Conclusion on Charge Location**: - Since there cannot be any charge inside the conductor (as established earlier), all the charge must be located on the surface. This leads us to conclude that while the conductor has a non-zero potential, it has no charge within its volume, and any charge present must be on the surface. **Hint**: Recall that charges in a conductor redistribute themselves to maintain equilibrium, leading to surface charge distribution. ### Final Answer: The correct conclusion is that if a conductor has a non-zero potential (V ≠ 0) and zero net charge (Q = 0), then there must be charge present only on the surface of the conductor, and there cannot be any charge inside the conductor. ### Summary: - A conductor with V ≠ 0 and Q = 0 has no charge inside it. - Charges must reside on the surface of the conductor. - The surface charge distribution can be such that the total charge is zero while maintaining a non-zero potential.

To solve the problem, we need to analyze the situation where a conductor has a non-zero electric potential (V ≠ 0) but carries no net charge (Q = 0). ### Step-by-Step Solution: 1. **Understanding the Properties of Conductors**: - In electrostatics, a conductor in electrostatic equilibrium has certain properties. One key property is that the electric field inside a conductor is zero. This means that any excess charge resides on the surface of the conductor. **Hint**: Remember that conductors allow free movement of charge, leading to zero electric field inside. ...
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