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Which of the following correctly states Gauss law?

  • a)
    Electric flux is equal to charge.

  • b)
    Electric flux per unit volume is equal to charge.

  • c)
    Electric field is equal to charge density.

  • d)
    Electric flux per unit volume is equal to volume charge density.

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following correctly states Gauss law?a)Electric flux is e...
The electric flux passing through any closed surface is equal to the total charge enclosed by that surface. In other words, electric flux per unit volume leaving a point (vanishing small volume), is equal to the volume charge density


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Which of the following correctly states Gauss law?a)Electric flux is e...
Explanation:
Gauss's law is a fundamental law in electrostatics. It relates the electric field at any point to the charge enclosed within a closed surface surrounding that point. The law states that the electric flux through any closed surface is directly proportional to the total charge enclosed within the surface.

The correct statement of Gauss's law is:

"Electric flux per unit volume is equal to volume charge density."

This means that the electric flux passing through a small surface area enclosing a charge is proportional to the amount of charge enclosed within that surface. The electric flux per unit volume is equal to the charge density. Mathematically, Gauss's law can be written as:

∮E.dA = Q/ε0

where E is the electric field, dA is the element of area of the closed surface, Q is the total charge enclosed within the surface, and ε0 is the permittivity of free space.

The above equation implies that the electric flux through a closed surface is directly proportional to the charge enclosed within the surface. If the charge enclosed within the surface is zero, then the electric flux through the surface is also zero.

Conclusion:
The correct statement of Gauss's law is "Electric flux per unit volume is equal to volume charge density." This law relates the electric field at any point to the charge enclosed within a closed surface surrounding that point. Gauss's law is a fundamental law in electrostatics and has numerous applications in physics and engineering.
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Which of the following correctly states Gauss law?a)Electric flux is equal to charge.b)Electric flux per unit volume is equal to charge.c)Electric field is equal to charge density.d)Electric flux per unit volume is equal to volume charge density.Correct answer is option 'D'. Can you explain this answer?
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