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Diffstat (limited to 'content/know/concept/electromagnetic-wave-equation/index.pdc')
-rw-r--r-- | content/know/concept/electromagnetic-wave-equation/index.pdc | 4 |
1 files changed, 0 insertions, 4 deletions
diff --git a/content/know/concept/electromagnetic-wave-equation/index.pdc b/content/know/concept/electromagnetic-wave-equation/index.pdc index 84946bb..59e0125 100644 --- a/content/know/concept/electromagnetic-wave-equation/index.pdc +++ b/content/know/concept/electromagnetic-wave-equation/index.pdc @@ -58,9 +58,7 @@ and substitute $\nabla \cross \vb{E}$ according to Faraday's law: $$\begin{aligned} \nabla \cross (\nabla \cross \vb{B}) - %= \nabla \cross \Big( \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv{\vb{E}}{t} \Big) = \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv{t} (\nabla \cross \vb{E}) - %= \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv{t} \Big( \!-\! \pdv{\vb{B}}{t} \Big) = - \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv[2]{\vb{B}}{t} \end{aligned}$$ @@ -79,9 +77,7 @@ taking the curl of Faraday's law yields: $$\begin{aligned} \nabla \cross (\nabla \cross \vb{E}) - %= - \nabla \cross \pdv{\vb{B}}{t} = - \pdv{t} (\nabla \cross \vb{B}) - %= - \pdv{t} \Big( \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv{\vb{E}}{t} \Big) = - \mu_0 \mu_r \varepsilon_0 \varepsilon_r \pdv[2]{\vb{E}}{t} \end{aligned}$$ |