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

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Question: For a closed surface enclosing multiple charges, how is the total electric flux calculated?

Options:

Correct Answer: Sum of enclosed charges divided by ε₀

Solution:

The total electric flux through a closed surface is given by Φ = ΣQ_enc/ε₀, where Q_enc is the total charge enclosed.

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

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.