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Physics · University

Gauss-law electric flux

Net flux through the entire closed surface depends on enclosed charge, not on external charges.

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Method and conditions

Net flux through the entire closed surface depends on enclosed charge, not on external charges.

ΦE = Qenclosed/ε₀

Worked examples

A closed surface encloses -70 nC. Using ε₀=8.854×10⁻¹² F/m, find the net electric flux in N·m²/C. Round the final result to 4 decimal places if needed. Answer in N·m²/C.

Convert charge to -70×10⁻⁹ C and divide by ε₀. The sign follows the enclosed charge.

-7906.0312 N·m²/C

A closed surface encloses 5 nC. Using ε₀=8.854×10⁻¹² F/m, find the net electric flux in N·m²/C. Round the final result to 4 decimal places if needed. Answer in N·m²/C.

Convert charge to 5×10⁻⁹ C and divide by ε₀. The sign follows the enclosed charge.

564.7165 N·m²/C

Try it

  1. A closed surface encloses -56 nC. Using ε₀=8.854×10⁻¹² F/m, find the net electric flux in N·m²/C. Round the final result to 4 decimal places if needed. Answer in N·m²/C.

  2. A closed surface encloses -70 nC. Using ε₀=8.854×10⁻¹² F/m, find the net electric flux in N·m²/C. Round the final result to 4 decimal places if needed. Answer in N·m²/C.

Check your work

Answers and marking notes
  1. -6324.8249 N·m²/C

    Convert charge to -56×10⁻⁹ C and divide by ε₀. The sign follows the enclosed charge.

  2. -7906.0312 N·m²/C

    Convert charge to -70×10⁻⁹ C and divide by ε₀. The sign follows the enclosed charge.

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