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. Two point charges q1and q2are 3.00 m apart, andtheir total charge is 20 µC . (a) If the force of repulsionbetween them is 0.075N, what are magnitudes of the twocharges? (b) If one charge attracts the other with a force of0.525N, what are the magnitudes of the two charges? Notethat you may need to solve a quadratic equation to reach youranswer.

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.

check_circleAnswer
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.

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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. 

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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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