解決F=1/4piepsilon_{0R^2} |Microsoft數學求解器

$$F = \frac { 1 } { 4 \pi \epsilon _ { 0 } R ^ { 2 } }$$

解 R (復數求解)

$$R=-\frac{ϵ_{0}^{-\frac{1}{2}}\left(\pi F\right)^{-\frac{1}{2}}}{2}$$

$$R=\frac{ϵ_{0}^{-\frac{1}{2}}\left(\pi F\right)^{-\frac{1}{2}}}{2}\text{, }F\neq 0\text{ and }ϵ_{0}\neq 0$$

解 F

$$F=\frac{1}{4\pi ϵ_{0}R^{2}}$$

$$R\neq 0\text{ and }ϵ_{0}\neq 0$$

解 R

$$R=\frac{1}{2\sqrt{\pi Fϵ_{0}}}$$

$$R=-\frac{1}{2\sqrt{\pi Fϵ_{0}}}\text{, }\left(ϵ_{0}>0\text{ and }F>0\right)\text{ or }\left(F<0\text{ and }ϵ_{0}<0\right)$$