Maxwell’s Equations

Our physics 54 class has now been introduced to all four of Maxwell’s equations. We do not have Maxwell’s correction to Ampere’s Law yet, but man we are close. Our current version of these really beautiful equations:
Gauss’s Law for Electricity
\oint_S \vec{E} \cdot \hat{n} dA = \frac{1}{\epsilon_o}\int_{V/S} \rho_e dV

Gauss’s Law for Magnetism[experimentally — no magnetic monopoles]
\oint_S \vec{B} \cdot \hat{n} dA = {\mu_o}\int_{V/S} \rho_m dV = 0

Ampere’s Law [not yet fixed]
\oint_C \vec{B} \cdot  d\vec{l} = {\mu_o}\int_{S/C}  \vec{J}_e \cdot \hat{n} dA = \mu_o I_{thru C}

Faraday’s Law [the negative sign indicates Lenz’ Law]
\oint_C \vec{E} \cdot  d\vec{l} = - \frac{d}{dt}\int_{S/C} \vec{B} \cdot \hat{n} dA

Maxwell's Equations in a proper setting
Maxwell's Equations in a proper setting
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2 thoughts on “Maxwell’s Equations

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