The sum of two point charges is 7 micro Coulomb. They repel each other with a force of 1N when kept 30cm apart in free space. Calculate the value of each charge.
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When two point charges repel each other, it is clear that they hold the same charges.
These charges of total value 7 micro Coulomb, marked as q1 and q2 and as q1 + q2 = 7 x 10 -6, the force of 1 N works to keep them 30 cm apart.
As per the calculating formula, 1 = 9 x 109 x q1 x q2/(30/100)2 ,
hence q1q2 = 10 -11.
The equation (q1−q2)2 = (q1+q2)2 − 4q1q2, which means q1 – q2 = square root of 9 x 10 -12 = 3 x 10 -6 .
So after solving these equations, q1 is found to be 5 micro Coulomb and q2 is 2 micro Coulomb, either both in positive or both in negative charges.
These charges of total value 7 micro Coulomb, marked as q1 and q2 and as q1 + q2 = 7 x 10 -6, the force of 1 N works to keep them 30 cm apart.
As per the calculating formula, 1 = 9 x 109 x q1 x q2/(30/100)2 ,
hence q1q2 = 10 -11.
The equation (q1−q2)2 = (q1+q2)2 − 4q1q2, which means q1 – q2 = square root of 9 x 10 -12 = 3 x 10 -6 .
So after solving these equations, q1 is found to be 5 micro Coulomb and q2 is 2 micro Coulomb, either both in positive or both in negative charges.
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