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Gauss-law electric flux · formula reference

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

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Formula

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

ΦE = Qenclosed/ε₀

Worked example

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

Prerequisites and checking

Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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