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 calculated?
  1. Sum of individual fluxes
  2. Product of charges
  3. Sum of enclosed charges divided by ε₀
  4. Average of charges

Questions & Step-by-Step Solutions

For a closed surface enclosing multiple charges, how is the total electric flux calculated?
  • Step 1: Identify the closed surface that encloses the charges.
  • Step 2: Determine all the charges that are inside this closed surface.
  • Step 3: Add up all the charges inside the closed surface to find the total enclosed charge (Q_enc).
  • Step 4: Use the formula for electric flux, which is Φ = ΣQ_enc/ε₀, where ε₀ is a constant (the permittivity of free space).
  • Step 5: Calculate the total electric flux (Φ) using the total enclosed charge (Q_enc) and the constant ε₀.
  • Gauss's Law – The relationship between electric flux through a closed surface and the charge enclosed within that surface.
  • Electric Flux – A measure of the quantity of electric field passing through a given area.
  • Enclosed Charge – The total charge that is contained within the closed surface.
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