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What is the total electric flux through a closed surface surrounding a charge of

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Question: What is the total electric flux through a closed surface surrounding a charge of -3Q?

Options:

  1. -3Q/ε₀
  2. 3Q/ε₀
  3. 0
  4. -Q/ε₀

Correct Answer: -3Q/ε₀

Solution: 

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

What is the total electric flux through a closed surface surrounding a charge of

Practice Questions

Q1
What is the total electric flux through a closed surface surrounding a charge of -3Q?
  1. -3Q/ε₀
  2. 3Q/ε₀
  3. 0
  4. -Q/ε₀

Questions & Step-by-Step Solutions

What is the total electric flux through a closed surface surrounding a charge of -3Q?
  • Step 1: Identify the charge enclosed by the closed surface. In this case, the charge is -3Q.
  • Step 2: Recall the formula for electric flux through a closed surface, which is Φ = Q_enc / ε₀.
  • Step 3: Substitute the value of the enclosed charge (Q_enc = -3Q) into the formula: Φ = -3Q / ε₀.
  • Step 4: The total electric flux through the closed surface is therefore -3Q / ε₀.
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