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Pela 1ª Lei de Coulomb, temos:
![F = K \frac{Qq}{d^{2} } F = K \frac{Qq}{d^{2} }](https://tex.z-dn.net/?f=F+%3D+K+%5Cfrac%7BQq%7D%7Bd%5E%7B2%7D+%7D+)
![0,1 = 9.10^{9} \frac{(4.10^{-8}).4.10^{-8} }{d^{2} } 0,1 = 9.10^{9} \frac{(4.10^{-8}).4.10^{-8} }{d^{2} }](https://tex.z-dn.net/?f=0%2C1+%3D+9.10%5E%7B9%7D++%5Cfrac%7B%284.10%5E%7B-8%7D%29.4.10%5E%7B-8%7D+%7D%7Bd%5E%7B2%7D+%7D+)
![0,1 = 9.10^{9} \frac{16.10^{-16} }{d^{2} } 0,1 = 9.10^{9} \frac{16.10^{-16} }{d^{2} }](https://tex.z-dn.net/?f=0%2C1+%3D+9.10%5E%7B9%7D++%5Cfrac%7B16.10%5E%7B-16%7D+%7D%7Bd%5E%7B2%7D+%7D+)
![0,1 = \frac{144.10^{-7} }{d^{2} } 0,1 = \frac{144.10^{-7} }{d^{2} }](https://tex.z-dn.net/?f=0%2C1+%3D++%5Cfrac%7B144.10%5E%7B-7%7D+%7D%7Bd%5E%7B2%7D+%7D+)
![d^{2} = 144.10^{-6} d^{2} = 144.10^{-6}](https://tex.z-dn.net/?f=d%5E%7B2%7D+%3D+144.10%5E%7B-6%7D)
![d = \sqrt{144.10^{-6} } = 12.10^{-3} = 0,012 d = \sqrt{144.10^{-6} } = 12.10^{-3} = 0,012](https://tex.z-dn.net/?f=d+%3D++%5Csqrt%7B144.10%5E%7B-6%7D+%7D+%3D+12.10%5E%7B-3%7D+%3D+0%2C012+)
Portanto, letra C)
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![F = K \frac{Qq}{d^{2} } F = K \frac{Qq}{d^{2} }](https://tex.z-dn.net/?f=F+%3D+K+%5Cfrac%7BQq%7D%7Bd%5E%7B2%7D+%7D+)
![16.10^{-1} = 9.10^{9} \frac{(2.10^{-6})q}{(0,3)^{2} } \\ 16.10^{-1} = 9.10^{9} \frac{(2.10^{-6})q}{9.10^{-2} } \\ 16.10^{-1} = 2.10^{5}q \\ q = \frac{16.10^{-1} }{2.10^{5} } = 8.10^{-6}C 16.10^{-1} = 9.10^{9} \frac{(2.10^{-6})q}{(0,3)^{2} } \\ 16.10^{-1} = 9.10^{9} \frac{(2.10^{-6})q}{9.10^{-2} } \\ 16.10^{-1} = 2.10^{5}q \\ q = \frac{16.10^{-1} }{2.10^{5} } = 8.10^{-6}C](https://tex.z-dn.net/?f=16.10%5E%7B-1%7D+%3D+9.10%5E%7B9%7D++%5Cfrac%7B%282.10%5E%7B-6%7D%29q%7D%7B%280%2C3%29%5E%7B2%7D+%7D++%5C%5C+16.10%5E%7B-1%7D+%3D+9.10%5E%7B9%7D+%5Cfrac%7B%282.10%5E%7B-6%7D%29q%7D%7B9.10%5E%7B-2%7D+%7D++%5C%5C+16.10%5E%7B-1%7D+%3D+2.10%5E%7B5%7Dq+%5C%5C+q+%3D++%5Cfrac%7B16.10%5E%7B-1%7D+%7D%7B2.10%5E%7B5%7D+%7D+%3D+8.10%5E%7B-6%7DC)
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![F = K \frac{Qq}{d^{2} } \\ F = 9.10^{9} \frac{(5.10^{-6}).5.10^{-6} }{5.10^{-1} } \\ F = 9.10^{9}.(5.10^{-11}) \\ F = 45.10^{-2}C F = K \frac{Qq}{d^{2} } \\ F = 9.10^{9} \frac{(5.10^{-6}).5.10^{-6} }{5.10^{-1} } \\ F = 9.10^{9}.(5.10^{-11}) \\ F = 45.10^{-2}C](https://tex.z-dn.net/?f=F+%3D+K+%5Cfrac%7BQq%7D%7Bd%5E%7B2%7D+%7D++%5C%5C+F+%3D+9.10%5E%7B9%7D+%5Cfrac%7B%285.10%5E%7B-6%7D%29.5.10%5E%7B-6%7D+%7D%7B5.10%5E%7B-1%7D+%7D++%5C%5C+F+%3D+9.10%5E%7B9%7D.%285.10%5E%7B-11%7D%29+%5C%5C+F+%3D+45.10%5E%7B-2%7DC)
Pela 1ª Lei de Coulomb, temos:
Portanto, letra C)
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