For a closed surface enclosing multiple charges, how is the total electric flux

Practice Questions

Q1
For a closed surface enclosing multiple charges, how is the total electric flux related to the enclosed charges?
  1. It is proportional to the sum of the charges
  2. It is inversely proportional to the sum of the charges
  3. It is independent of the charges
  4. It is proportional to the square of the charges

Questions & Step-by-Step Solutions

For a closed surface enclosing multiple charges, how is the total electric flux related to the enclosed charges?
  • Step 1: Understand what electric flux is. Electric flux is a measure of the electric field passing through a surface.
  • Step 2: Know what a closed surface is. A closed surface is a shape that completely encloses a volume, like a sphere or a cube.
  • Step 3: Learn about charges. Charges can be positive or negative and they create electric fields around them.
  • Step 4: Familiarize yourself with Gauss's law. Gauss's law states that the total electric flux through a closed surface is directly related to the total charge inside that surface.
  • Step 5: Remember the key relationship. The total electric flux (Φ) through the closed surface is equal to the total charge (Q) enclosed divided by a constant (ε₀), which is the permittivity of free space: Φ = Q/ε₀.
  • Step 6: Conclude that if you know the total charge inside the closed surface, you can determine the total electric flux through that surface.
  • Gauss's Law – The principle stating that the total electric flux through a closed surface is directly proportional to the total charge enclosed within that surface.
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