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Two infinite plane parallel sheets, separated by a distance d have equal and opposite uniform charge desities σ. Electric field at a point between the sheets is
- a)σ/2ε0
- b)σ/ε0
- c)zero
- d)depends on the location of the point
Correct answer is option 'B'. Can you explain this answer?
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Two infinite plane parallel sheets, separated by a distance d have equ...
Electric field, E = σ/ε0
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Two infinite plane parallel sheets, separated by a distance d have equ...
The electric field between two parallel sheets of equal and opposite uniform charge densities can be found using Gauss's Law.
Gauss's Law states that the electric flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium. In this case, we can consider a rectangular Gaussian surface with one side parallel to the sheets and the other two sides perpendicular to them.
Since the charge densities on the sheets are equal and opposite, the total charge enclosed by the Gaussian surface is zero. Therefore, the electric flux through the Gaussian surface is also zero.
According to Gauss's Law, the electric flux through the Gaussian surface is also equal to the product of the electric field and the area of the surface. Since the electric flux is zero, the electric field between the sheets must also be zero.
Therefore, the electric field between two infinite parallel sheets with equal and opposite charge densities is zero.
Gauss's Law states that the electric flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium. In this case, we can consider a rectangular Gaussian surface with one side parallel to the sheets and the other two sides perpendicular to them.
Since the charge densities on the sheets are equal and opposite, the total charge enclosed by the Gaussian surface is zero. Therefore, the electric flux through the Gaussian surface is also zero.
According to Gauss's Law, the electric flux through the Gaussian surface is also equal to the product of the electric field and the area of the surface. Since the electric flux is zero, the electric field between the sheets must also be zero.
Therefore, the electric field between two infinite parallel sheets with equal and opposite charge densities is zero.
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Two infinite plane parallel sheets, separated by a distance d have equal and opposite uniform charge desitiesσ. Electric field at a point between the sheets isa)σ/2ε0b)σ/ε0c)zerod)depends on the location of the pointCorrect answer is option 'B'. Can you explain this answer?
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