minor changes in 6.2.13

Luisito edited
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revision #11392 parent #11391 GitHub 2254bd4 ← older newer →
en/6.2.13.md +1 −1
@@ -150,7 +150,7 @@
$$\vec{E}(x,r') = \vec{E_b}(x) + \vec{E_s}(r') = E_b(x) \hat{x} - E_s(r') \hat{r'} \;(10)$$
Substituting (1) and (4) into (10)
$$\vec{E}(x,r') = \frac{\rho}{3\varepsilon_0}(x\hat{x}-r'\hat{r'})$$
− $$\vec{E}(x,r') = \frac{\rho}{3\varepsilon_0}(vec{x}-\vec{r'})$$
+ $$\vec{E}(\vec{x},\vec{r'}) = \frac{\rho}{3\varepsilon_0}(\vec{x}-\vec{r'})$$
but $\vec{l} = \vec{x} -\vec{r'}$, hence
$$\vec{E} = \frac{\rho\vec{l}}{3\varepsilon_0}$$
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