Question

Maxwell's equations. (a) Using Gauss's Divergence theorem and Stokes' Curl theorem (see EH Appendix 1), rewrite Maxwell's equations [3.7], [3.9], [3.5], and [3.13] in differential form. (b) Now consider Maxwell's equations in free space where $ ho$ = $vec{J}$ = 0, $epsilon$ = $epsilon_0$, and $mu$ = $mu_0$. Beginning with Faraday's law and Ampere's law in differential form, take the appropriate curl, and show that the electric and magnetic fields satisfy a wave equation, namely $ abla^2 vec{E}$ = $frac{1}{v^2} frac{partial^2 vec{E}}{partial t^2}$ $ abla^2 vec{B}$ = $frac{1}{v^2} frac{partial^2 vec{B}}{partial t^2}$. (c) What is the wave speed v?

          Maxwell's equations.
(a) Using Gauss's Divergence theorem and Stokes' Curl theorem (see EH Appendix 1), rewrite Maxwell's
equations [3.7], [3.9], [3.5], and [3.13] in differential form.
(b) Now consider Maxwell's equations in free space where $
ho$ = $vec{J}$ = 0, $epsilon$ = $epsilon_0$, and $mu$ = $mu_0$. Beginning with Faraday's
law and Ampere's law in differential form, take the appropriate curl, and show that the electric and magnetic fields
satisfy a wave equation, namely
$
abla^2 vec{E}$ = $frac{1}{v^2} frac{partial^2 vec{E}}{partial t^2}$
$
abla^2 vec{B}$ = $frac{1}{v^2} frac{partial^2 vec{B}}{partial t^2}$.
(c) What is the wave speed v?

$Maxwell's equations. (a) Using Gauss's Divergence theorem and Stokes' Curl theorem (see EH Appendix 1), rewrite Maxwell's equations [3.7], [3.9], [3.5], and [3.13] in differential form. (b) Now consider Maxwell's equations in free space where ho = vecJ = 0, epsilon = epsilon0, and mu = mu0. Beginning with Faraday's law and Ampere's law in differential form, take the appropriate curl, and show that the electric and magnetic fields satisfy a wave equation, namely abla^2 vecE = frac1v^2 fracpartial^2 vecEpartial t^2 abla^2 vecB = frac1v^2 fracpartial^2 vecBpartial t^2. (c) What is the wave speed v?$

Added by Cindy H.

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