Four +9 µC point charges are at the corners of a square of side 4 m. Find the potential at the center of the square (relative to zero potential at infinity) for each of the following conditions.(a) All the charges are positive
(b) Three of the charges are positive and one is negative
(c) Two are positive and two are negative
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Ответ:
Answer with Explanation:
We are given that
Side of square,d=4 m
Distance of charge from the center of square,d=![\frac{1}{2}\sqrt{4^2+4^2}=2\sqrt 2m](/tpl/images/0587/9906/64667.png)
Potential is a scalar quantity therefore, we consider sign .
a.When all charges are positive
Then, Potential at center of square,V=![4\times \frac{kq}{d}](/tpl/images/0587/9906/75233.png)
Where![k=9\times 10^9](/tpl/images/0587/9906/936bb.png)
b.Potential at center of square,V=![3\frac{kq}{d}-\frac{kq}{d}=\frac{2kq}{d}](/tpl/images/0587/9906/59132.png)
c.Potential at center of square,V=![\frac{2kq}{d}-\frac{2kq}{d}=0](/tpl/images/0587/9906/b5e34.png)
Ответ: