Question

. Two point charges q1

and q2

are 3.00 m apart, and

their total charge is 20 µC . (a) If the force of repulsion

between them is 0.075N, what are magnitudes of the two

charges? (b) If one charge attracts the other with a force of

0.525N, what are the magnitudes of the two charges? Note

that you may need to solve a quadratic equation to reach your

answer.

Step 1

The sum of charges is given and distance between the charges. In part a repulsion force acts between the charges. This implies the charges are of same sign as sum is positive so both charges are positive. From the sum of charges isolate q1. Use coulomb's law to find the product of charges.

Step 2

From Coulomb\'s law we get the product of charges by rearranging the equation of force and plugging in the values. Convert charge value from micro C to C.

Step 3

Plug the equation 1 in equation 2 and solve for the value of charges. After solving the quadratic equation we get the charges.Answer

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