Importance/Use of Gauss' Law and Ampere's Circuital Law

Thread starter Aurelius120
Start date Dec 15, 2023
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Biot-savart law Coulomb's law Electomagnetism Gauss' law

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Gauss' Law and Ampere's Circuital Law simplify calculations in electromagnetism by allowing the extraction of electric (E) and magnetic (B) fields from integrals under specific symmetry conditions. For Gauss' Law, E can be taken out of the integral if it is perpendicular and uniform across the Gaussian surface, typically satisfied by spherical, cylindrical, or planar symmetries. Similarly, Ampere's Law requires B to be tangent and constant along the Amperian loop, applicable under cylindrical or planar conditions. The discussion highlights the importance of understanding these conditions for practical applications in science and engineering, as they dictate when these laws can be effectively utilized. Ultimately, mastering these symmetry principles is crucial for applying Gauss' Law and Ampere's Law in complex scenarios.

Dec 16, 2023

PhDeezNutz

@nasu you are right

1/8th the flux through the entire cube

And since only 3/6 of the faces have actual nonzero flux through them

That 1/8th gets divided by 3

1/24th through each of the facesSorry for being absent minded and apologies to OP for not being more measured with my responses.