Asked by TrishTha
Two charges 5*10^-8 and -3*10^-8 C are located 16cm apart in air. At
what point on the line joining the two charges is the total electric potential zero? Take the potential at infinity to be zero
what point on the line joining the two charges is the total electric potential zero? Take the potential at infinity to be zero
Answers
Answered by
Damon
put the +5 at x = 0 and the -3 at x = d
at some point beyond d the work done to pull a charge in from x = oo is zero, the +5 pulling one way and the -3 the other way. The potential is proportional to charge *1/distance
total work = c * 5/x - c *3/(x-d)
5/x = 3/(x-d)
5x-5d = 3 x
2 x = 5 d
d = 16 cm
so
x = (5/2)(16) = 40 cm
come closer and the -3 wins
go way far away and it looks like charge of +2 at zero :)
at some point beyond d the work done to pull a charge in from x = oo is zero, the +5 pulling one way and the -3 the other way. The potential is proportional to charge *1/distance
total work = c * 5/x - c *3/(x-d)
5/x = 3/(x-d)
5x-5d = 3 x
2 x = 5 d
d = 16 cm
so
x = (5/2)(16) = 40 cm
come closer and the -3 wins
go way far away and it looks like charge of +2 at zero :)
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