32 G Figure 21-34a shows charged particles 1 and 2 that are fixed in place on an

Question

32 G Figure 21-34a shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of l?1l 8.00e. Particle 3 of charge 43 +8.00e is initially on the x axis near particle 2. Then particle 3 is gradually moved in the posi- tive direction of the x axis. As a result, the magnitude of the net electrostatic force F2net on particle 2 due to particles 1 and 3 changes. Figure 21-34b gives the x component of that net force as a function of the position x of particle 3. The scale of the x axis is set by 0.80 m. The plot has an asymptote of Fanet 1.5 x 10-25 N as x oo. As a multiple of e and including the sign, what is the charge q2 of particle 2? Figure 21-34 Problem 32.

Explanation / Answer

From the force versus distance between charged graph, force cross the origin this is possible by Q1 must be positive charge At a point

r = x3/2 = 0.80m/2 = 0.40 m

Force cross the origin, The asymptote force is

F2,net = 1.5 x 10^-25 N

kq1q2 / r1^2 = 1.5 x 10^-25 N

q2 = [(1.5 x 10^-25 N x (0.40 m)^2] / (9 x 10^9 x 8 x 1.6 x 10^-19)

q2 = 2.08 x 10^-18 C

q2 =  2.08 x 10^-18 C x e / (1.6 x 10^-19)

q2 = 13e

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