My Notes Ask Your 9. A point charge q 3.50 nC is placed at the origin, and a sec

Question

My Notes Ask Your 9. A point charge q 3.50 nC is placed at the origin, and a second point charge 3.50 nc is placed on the x-axis at x +33.80 cm. A third point charge a3 q1 and q2·(Take as zero the potential energy of the three charges when they are infinitely far apart.) 1.75 nC is to be placed on the x-axis between (a) What is the potential energy of the system of the three charges if q3 is placed at x-+16.9cm? 3.26e-7 (b) where should q3 be placed to make the potential energy of the system equal to zero?

Explanation / Answer

b)

x1 = 0

x2 = 0.338 m

x3 = ?

potential energy of the system is given as

k q1 q2/(x2 - x1) + k q2 q3/(x3 - x2) + k q3 q1/(x3 - x1) = 0

(- 3.5) (-3.5)/(0.338) + (-3.5) (1.75)/(x3 - 0.338) + (-3.5) (1.75)/(x3 - 0) = 0

x3 = 0.577 = 57.7 cm

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