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The shape of equipotential surface for an infinite line charge is:
- a)Coaxial cylindrical surfaces
- b)Parallel plane surfaces
- c)Parallel plane surfaces perpendicular to lines of force
- d)None of above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The shape of equipotential surface for an infinite line charge is:R...
The shape of equipotential surface for an infinite line charge is coaxial cylindrical because A curved surface on which potential is constant is equipotential curve . If we consider the line charge then the focus of the point should have the same potential hence it is a coaxial cylinder.
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The shape of equipotential surface for an infinite line charge is:R...
The equipotential surfaces are nesting coaxial cylinders around an infinite line of charge.
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The shape of equipotential surface for an infinite line charge is:R...
Equipotential Surface for an Infinite Line Charge
Equipotential surfaces are the surfaces where the potential is constant. In the case of an infinite line charge, the electric field lines are radial and perpendicular to the line charge. The potential at any point depends only on the distance from the line charge. Therefore, the equipotential surfaces will be coaxial cylindrical surfaces.
Explanation
The electric field due to an infinite line charge is given by:
E = λ/2πεr
where λ is the linear charge density, r is the distance from the line charge and ε is the permittivity of free space.
The potential difference between two points A and B is given by:
ΔV = -∫E.dr
where E.dr is the work done in moving a charge from point A to point B.
For an infinite line charge, the electric field lines are radial and perpendicular to the line charge. Therefore, the potential at any point depends only on the distance from the line charge. The equipotential surfaces will be cylindrical surfaces with their axis along the line charge.
Conclusion
Thus, the shape of the equipotential surface for an infinite line charge is coaxial cylindrical surfaces.
Equipotential surfaces are the surfaces where the potential is constant. In the case of an infinite line charge, the electric field lines are radial and perpendicular to the line charge. The potential at any point depends only on the distance from the line charge. Therefore, the equipotential surfaces will be coaxial cylindrical surfaces.
Explanation
The electric field due to an infinite line charge is given by:
E = λ/2πεr
where λ is the linear charge density, r is the distance from the line charge and ε is the permittivity of free space.
The potential difference between two points A and B is given by:
ΔV = -∫E.dr
where E.dr is the work done in moving a charge from point A to point B.
For an infinite line charge, the electric field lines are radial and perpendicular to the line charge. Therefore, the potential at any point depends only on the distance from the line charge. The equipotential surfaces will be cylindrical surfaces with their axis along the line charge.
Conclusion
Thus, the shape of the equipotential surface for an infinite line charge is coaxial cylindrical surfaces.
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The shape of equipotential surface for an infinite line charge is:a)Coaxial cylindrical surfacesb)Parallel plane surfacesc)Parallel plane surfaces perpendicular to lines of forced)None of aboveCorrect answer is option 'A'. Can you explain this answer?
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