ÇEKİRDEKLERLE UYUÇLAR ARASINDAKİ ÇEKİM
Bilgiler:
| m = n*E | $$d = \frac{L}{R}$$ | |||
| (Ez) | $$m_{0} = 1 Ez$$ | (Ez) | $$r_{0} = r_{0}$$ | |
| (Eriz) | $$m_{1} = 12 Ez$$ | (Eriz) | $$r_{1} = \sqrt{12}r_0$$ | |
| (Erez) | $$m_{2} = 144 Ez$$ | (Erez) | $$r_{2} = {12}r_0$$ | |
| (Ez-Ez) | $$L_{00} = (\sqrt{12}r_0)$$ | (Eriz-Eriz) | $$L_{11} = \sqrt{12}(\sqrt{12}r_0)$$ | |
| (Ez-Eriz) | $$L_{01} = 12(\sqrt{12}r_0)$$ | (Eriz-Erez) | $$L_{12} = {12}({12}r_0)$$ | |
| (Ez-Erez) | $$L_{02} = 144(\sqrt{12}r_0)$$ | (Erez-Erez) | $$L_{22} = \sqrt{12}(\sqrt{12}r_0)$$ |
Çözümleme:
| Ez’in Ez’i Çekimi | $$F_{00} = \frac{m_0}{d_0^2}$$ | $$=\frac{Ez}{(\sqrt{12})^2}$$ | $$=\frac{Ez}{12}$$ | |
| Ez’in Eriz’i Çekimi | $$F_{01} = \frac{m_0}{d_1^2}$$ | $$=\frac{Ez}{({12})^2}$$ | $$=\frac{Ez}{144}$$ | |
| Ez’in Erez’i Çekimi | $$F_{02} = \frac{m_0}{d_2^2}$$ | $$=\frac{Ez}{({144}^2)}$$ | $$=\frac{Ez}{20736}$$ | |
| Eriz’in Ez’i Çekimi | $$F_{10} = \frac{m_1}{d_1^2}$$ | $$=\frac{12Ez}{({12}^2)}$$ | $$=\frac{Ez}{12}$$ | |
| Eriz’in Eriz’i Çekimi | $$F_{11} = \frac{m_1}{d_0^2}$$ | $$=\frac{12Ez}{(\sqrt{12})^2}$$ | $$={Ez}$$ | |
| Eriz’in Erez’i Çekimi | $$F_{12} = \frac{m_1}{d_2^2}$$ | $$=\frac{12Ez}{({12}^2)}$$ | $$=\frac{Ez}{12}$$ | |
| Erez’in Ez’i Çekimi | $$F_{20} = \frac{m_2}{d_2^2}$$ | $$=\frac{144Ez}{(144^2)}$$ | $$=\frac{Ez}{144}$$ | |
| Erez’in Eriz’i Çekimi | $$F_{21} = \frac{m_2}{d_1^2}$$ | $$=\frac{144Ez}{(12^2)}$$ | $$={Ez}$$ | |
| Erez’in Erez’i Çekimi | $$F_{22} = \frac{m_2}{d_0^2}$$ | $$=\frac{144Ez}{(\sqrt{12})^2}$$ | $$=12{Ez}$$ |
Sonuç:
| (Ez-Erez) | $$F = F_{02}+F_{20}$$ | $$=\frac{Ez}{20736}+\frac{Ez}{144}$$ | $$=\frac{145 Ez}{20736}$$ | |
| (Ez-Eriz) | $$F = F_{01}+F_{10}$$ | $$=\frac{Ez}{144}+\frac{Ez}{12}$$ | $$=\frac{13 Ez}{144}$$ | |
| (Eriz-Erez) | $$F = F_{12}+F_{21}$$ | $$=\frac{Ez}{12}+{Ez}$$ | $$=\frac{13 Ez}{12}$$ |