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chrissycherry
11.12.2020 •
Physics
The steps in the formation of a potassium ion
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Ответ:
BR
Ответ:
E=![\frac{2K\cdot P}{r^3}](/tpl/images/0155/2683/b29f1.png)
Explanation:
We are given that a dipole consist of two charge Q and -Q and charge separated by l.Let a charge +1 C is placed at point P at distance r from the centre of dipole.
We have to find the magnitude of the electric field at point along the axis of dipole .
We know that Electric field=![\frac{Force}{unit \;positive\;Charge}](/tpl/images/0155/2683/01a39.png)
Electric filed due to positive charge Q
Electric field due to negative charge -Q
Net electric field E=![E_2-E_1](/tpl/images/0155/2683/c4ceb.png)
E=![\frac{kQ}{(r-\frac{\rho}{2})^2}-\frac{KQ}{(r+\frac{\rho}{2})^2}](/tpl/images/0155/2683/d7ac1.png)
E=![KQ\frac{r^2+\rho^2+r\rho-r^2-\rho^2+r\rho}{(r^2-\frac{\rho^2}{4})^2}](/tpl/images/0155/2683/522a1.png)
E=![\frac{2 KQ r\rho}{(r^2-\frac{\rho^2}{4})^2}](/tpl/images/0155/2683/fc26a.png)
We are given that r >> L then
E=![\frac{2KQ r\rho}{r^4}=\frac{2kQ \rho}{r^3}](/tpl/images/0155/2683/91223.png)
E=![\frac{K\cdot 2Q\rho}{r^3}](/tpl/images/0155/2683/55a69.png)
E=![\frac{2K\cdot P}{r^3}](/tpl/images/0155/2683/b29f1.png)
Where, P=Diple = Distance between two charges
any charge