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If the flux of the electric field through a closed surface is zero
- a)the net charge in the vicinity of the surface must be zero
- b)the net charge inside the surface must be zero
- c)the electric field must be non-zero everywhere on the surface
- d)the electric field must be zero everywhere on the surface
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the flux of the electric field through a closed surface is zeroa)th...
Flux across a closed surface, 
Since,
so, charge enclosed q = 0
Since,
so, charge enclosed q = 0The correct answer is: the net charge inside the surface must be zero
Most Upvoted Answer
If the flux of the electric field through a closed surface is zeroa)th...
Explanation:
Flux of the electric field through a closed surface:
The flux of the electric field through a closed surface is a measure of the electric field passing through the surface. It is defined as the electric field multiplied by the area of the surface and the cosine of the angle between the electric field and the surface normal.
Zero flux of the electric field:
When the flux of the electric field through a closed surface is zero, it means that there is an equal amount of electric field entering and exiting the surface. In other words, the electric field passing through the surface is balanced, resulting in zero net flux.
Implications of zero flux:
The fact that the flux of the electric field through a closed surface is zero has several implications:
1. The net charge inside the surface must be zero:
Since the electric field passing through the surface is balanced, there cannot be any excess charge inside the surface. If there were a net charge inside the surface, it would create an electric field that would cause a non-zero flux through the surface.
2. The net charge in the vicinity of the surface may or may not be zero:
The net charge in the vicinity of the surface does not have to be zero. It is possible to have charges located outside the surface that produce an electric field passing through the surface such that the net flux is zero. However, the net charge inside the surface must be zero.
3. The electric field can be non-zero everywhere on the surface:
The electric field passing through the surface can have different magnitudes and directions at different points on the surface. It is not necessary for the electric field to be zero everywhere on the surface for the flux to be zero. As long as the electric field vectors entering and exiting the surface cancel each other out, the flux will be zero.
Conclusion:
Therefore, when the flux of the electric field through a closed surface is zero, the net charge inside the surface must be zero. This is because the balanced electric field passing through the surface indicates that there is no excess charge inside the surface.
Flux of the electric field through a closed surface:
The flux of the electric field through a closed surface is a measure of the electric field passing through the surface. It is defined as the electric field multiplied by the area of the surface and the cosine of the angle between the electric field and the surface normal.
Zero flux of the electric field:
When the flux of the electric field through a closed surface is zero, it means that there is an equal amount of electric field entering and exiting the surface. In other words, the electric field passing through the surface is balanced, resulting in zero net flux.
Implications of zero flux:
The fact that the flux of the electric field through a closed surface is zero has several implications:
1. The net charge inside the surface must be zero:
Since the electric field passing through the surface is balanced, there cannot be any excess charge inside the surface. If there were a net charge inside the surface, it would create an electric field that would cause a non-zero flux through the surface.
2. The net charge in the vicinity of the surface may or may not be zero:
The net charge in the vicinity of the surface does not have to be zero. It is possible to have charges located outside the surface that produce an electric field passing through the surface such that the net flux is zero. However, the net charge inside the surface must be zero.
3. The electric field can be non-zero everywhere on the surface:
The electric field passing through the surface can have different magnitudes and directions at different points on the surface. It is not necessary for the electric field to be zero everywhere on the surface for the flux to be zero. As long as the electric field vectors entering and exiting the surface cancel each other out, the flux will be zero.
Conclusion:
Therefore, when the flux of the electric field through a closed surface is zero, the net charge inside the surface must be zero. This is because the balanced electric field passing through the surface indicates that there is no excess charge inside the surface.
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Community Answer
If the flux of the electric field through a closed surface is zeroa)th...
Flux across a closed surface, 
Since,
so, charge enclosed q = 0
Since,
so, charge enclosed q = 0The correct answer is: the net charge inside the surface must be zero
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