Two charges q1 and q2 have a total charge of 10 micro C (10*10^-6). When they ar

Question

Two charges q1 and q2 have a total charge of 10 micro C (10*10^-6). When they are separated by 1.5 m, the force exerted by one charge on the other has a magnitude of 8 mN.
Find q1 and q2 if:

(a) both are positive so that they repel each other, and q1 is the smaller of the two. (For the universal constant k use the value 8.99 109 N m2/C2.)
q1 = _____ micro C
q2 = _____ micro C

(b) if q1 is positive and q2 is negative
q1 = _____ micro C
q2 = _____ micro C

A detailed explanation would be great, i keep getting the wrong answer, thanks!

Explanation / Answer

8 mn =Kq1q2/r^2
q1q2=(0.008)(1.5^2)/(9*10^9)
q1q2=2.0022*10^12
given q1+q2=10*10^-6
leave the coficient of 10^-6
A)q1*q2=2(AS BOTH ARE POSITIVE SO MULTI. IS ALSO +VE)
q1+q2=10
q1=5 +23

q2=5-23

B)q1q2=-2(this time multi. is _ve as 1 +ve 1 -ve)

q1+q2=10

Q1=5+27

q2=5-27

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