The sum of two point charges is 7 uc. They repel each other with a force of 1 N when kept 30 cm apart in free space. Calculate the value of each charges.
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Explanation:
Q1 + Q2 = 7 X 10 ^-6______1
1 = ( 9 X 10⁹ X Q1 X Q2 )/0.3²
Q1 X Q2 = 0.09/9 X 10⁹
Q1 X Q2 = 1 X 10^-11______2
(Q1 -Q2)² = (Q1+Q2)² - 4Q1 X Q2
= 49 X 10^-12 - 4 X 10^-11
= 49 X 10^-12. - 40 X 10^-12
= 9 X 10 ^-12
(Q1-Q2) = 3 X 10 ^ -6 _______3
ON ADDDING 1 AND 3 WE HAVE
2Q1 = 10 X 10^-6
Q1 = 5 X 10 ^-6
Q2 = 2 X 10 ^-6
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