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Two charges2*10^-6c and 1*10^-6c are placed at a seperation of 10 cm.Where should a third charge be placed such that it experiences no net force due to these charges?
Hi Pallavi,
If both are positive charges then the third charge should be placed on the line joining the two charges.
it should be in between the two charges
F1=F2
2*q/ r2=1*q/(10-r)2
r2=2(10-r)2
r2= 200 + 2 r2 - 40r
r2 - 40r + 200 = 0
r = [40 ± √(1600-800)]/2
= [40 - √(1600-800)]/2 since the point should be in between
= 20 - 10√2
= 5.86 cm
third charge should be placed at 5.86 cm from 2*10-6 C charge.
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