Question

Figure ») shows charged particl s 1 and 2 that are fixed in place nn an x a ns. article 1 h a charge with a ma nitude of 假 13 Partie e 3 o charge g -+13a is initially on the x ax s near partid 2 Than particle 3 gradually moved in the positive d ction of the x ands. As a result, the magnitude of the net electostatic force on partidle 2 due to particles1 and 3 changes. Figure (b) glves the x component of that net force as a function of the position x of paridle 3. The scale of the x axis Is set by x-2.40 m. The plot has an asymptote of F2.net-0.9792 10-25 N asx-oo. As a multiple of e and including the sign, what is the charge G2 of particle 2? r m) Number Units the tolerance +/-5% O TUTORIAL

Answer 1

The scale of the x axis is set by xs = 2.40 m.

Distance of particle 3, x3 = 2.40 / 2 = 1.20 m

Let, charge of q2 = q

Since, F12 = F32

k*13e*q / d^2 = k*13e*q / (1.20)²

so, d = 1.20 m

As given that F2 = 0.9792*10^-25 N

F2 = k*13e*q / (1.20)² = 0.9792*10^-25

9*10⁹*13e*q / (1.20)² = 0.9792*10^-25

q = 47e