Maxwell’s Equations « DUML Physhead

Feeds:: Posts; Comments

Maxwell’s Equations

July 21, 2009 by jedward706

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

Posted in DUML Physics 54, Physics 54 Content/Resource | Tagged DUML Physics, Posting with LaTeX | No Comments Yet

Leave a Reply