Различия

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--- electrodynamics:res2.32-1 [2019/10/25 12:56] – root
+++ electrodynamics:res2.32-1 [2019/10/25 13:00] (текущий) – root
@@ Строка 1: / Строка 1: @@
 $$
+\frac{\partial \varphi }{\partial r}
+=
 \frac{\partial}{\partial r}\left.\left(\frac{q}{\sqrt{r^{2}+b^{2}-2rb\cdot\cos(\theta)}}-\frac{q}{\sqrt{r^{2}+b^{2}+2rb\cdot\cos(\theta)}}+\right.\right.
 $$
@@ Строка 12: / Строка 14: @@
 $$
 $$
-q\left(\frac{a-b\cdot\cos(\theta)}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{a+b\cdot\cos(\theta)}{\left(a^{2}+b^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{\left(\frac{a}{b}\right)^{2}\left(b-a\cdot\cos(\theta)\right)}{\left(\frac{a}{b}\right)^{3}\left(b^{2}+a^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}+\frac{\left(\frac{a}{b}\right)^{2}\left(b+a\cdot\cos(\theta)\right)}{\left(\frac{a}{b}\right)^{3}\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right)=
+q\left(\frac{a-b\cdot\cos(\theta)}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{a+b\cdot\cos(\theta)}{\left(a^{2}+b^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-
+\right.
 $$
 $$
-q\left(\frac{a-b\cdot\cos(\theta)}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{\frac{b}{a}\left(b-a\cdot\cos(\theta)\right)}{\left(b^{2}+a^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{a+b\cdot\cos(\theta)}{\left(a^{2}+b^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}+\frac{\frac{b}{a}\left(b+a\cdot\cos(\theta)\right)}{\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right)=
+\left.\frac{\left(\frac{a}{b}\right)^{2}\left(b-a\cdot\cos(\theta)\right)}{\left(\frac{a}{b}\right)^{3}\left(b^{2}+a^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}+\frac{\left(\frac{a}{b}\right)^{2}\left(b+a\cdot\cos(\theta)\right)}{\left(\frac{a}{b}\right)^{3}\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right)=
+$$
+$$
+q\left(\frac{a-b\cdot\cos(\theta)}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{\frac{b}{a}\left(b-a\cdot\cos(\theta)\right)}{\left(b^{2}+a^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\right.
+$$
+$$
+\left.\frac{a+b\cdot\cos(\theta)}{\left(a^{2}+b^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}+\frac{\frac{b}{a}\left(b+a\cdot\cos(\theta)\right)}{\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right)=
 $$
 $$
@@ Строка 21: / Строка 30: @@
 $$
 $$
-q\frac{b^{2}-a^{2}}{a}\left(\frac{1}{\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{1}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right)
+q\frac{b^{2}-a^{2}}{a}\left(\frac{1}{\left(b^{2}+a^{2}+2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}-\frac{1}{\left(a^{2}+b^{2}-2ab\cdot\cos(\theta)\right)^{\frac{3}{2}}}\right).
 $$