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The sum of two point charges is 7µ C. They repel each other with a force of 1 N when kept 30cm apart in free space.

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The sum of two point charges is 7µ C. They repel each other with a force of 1 N when kept 30cm apart in free space. Calculate the value of each charge.

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Best answer

q1 + q2 = 7 x 10-6 C.....(1)

(q1 - q2)2 = (q1 + q2)2 - 4q1q2

= (7 x 10-6)2 - 4 x 10-11

 = 49 x 10-12 - 40 x 10-12 = 9 x 10-12

q1- q2 = 3 x 10-6 C.....(3)

Solving (1) and (3), we get

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