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How is the electric field at the surface of a charged conductor related to the surface charge density?
- a)Proportional to each other
- b)Indirectly proportional
- c)Independent
- d)Exponential
Correct answer is option 'A'. Can you explain this answer?
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How is the electric field at the surface of a charged conductor relate...
Electric Field at the Surface of a Charged Conductor and Surface Charge Density
Electric Field at the Surface of a Charged Conductor
The electric field at any point near a charged conductor is the force experienced by a unit positive charge at that point. The electric field lines are always perpendicular to the surface of the conductor.
Surface Charge Density
Surface charge density is defined as the amount of charge per unit area of the charged conductor. It is denoted by σ. The unit of surface charge density is C/m².
Relation between Electric Field at the Surface of a Charged Conductor and Surface Charge Density
The electric field at the surface of a charged conductor is directly proportional to the surface charge density. Mathematically, we can write it as:
E ∝ σ
where E is the electric field at the surface of the conductor and σ is the surface charge density.
The reason for this proportionality is that the electric field at the surface of a charged conductor depends on the charge distribution on the surface. As the surface charge density increases, the electric field at the surface also increases because there are more charges on the surface to exert a force on the unit positive charge.
Conclusion
Hence, we can conclude that the electric field at the surface of a charged conductor is proportional to the surface charge density.
Electric Field at the Surface of a Charged Conductor
The electric field at any point near a charged conductor is the force experienced by a unit positive charge at that point. The electric field lines are always perpendicular to the surface of the conductor.
Surface Charge Density
Surface charge density is defined as the amount of charge per unit area of the charged conductor. It is denoted by σ. The unit of surface charge density is C/m².
Relation between Electric Field at the Surface of a Charged Conductor and Surface Charge Density
The electric field at the surface of a charged conductor is directly proportional to the surface charge density. Mathematically, we can write it as:
E ∝ σ
where E is the electric field at the surface of the conductor and σ is the surface charge density.
The reason for this proportionality is that the electric field at the surface of a charged conductor depends on the charge distribution on the surface. As the surface charge density increases, the electric field at the surface also increases because there are more charges on the surface to exert a force on the unit positive charge.
Conclusion
Hence, we can conclude that the electric field at the surface of a charged conductor is proportional to the surface charge density.
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Community Answer
How is the electric field at the surface of a charged conductor relate...
The electric field at the surface of a charged conductor is proportional to the surface charge density. The electric field is zero inside the conductor and just outside, it is normal to the surface. The contribution to the total flux comes only from its outer cross-section.
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How is the electric field at the surface of a charged conductor related to the surface charge density?a)Proportional to each otherb)Indirectly proportionalc)Independentd)ExponentialCorrect answer is option 'A'. Can you explain this answer?
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