Consider the final arrangement of charged particles shown in the figure below. What is the work necessary to build such an arrangement of particles, assuming they were originally very far from one another? (Let 91 = 8.0 nC, 92 = 2.5 nC and q3 = -19.0 nC.) (-12.0 cm, 0) (12.0 cm, 0) 92 (-12.0 cm, – 12.0 cm) 93

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Consider the final arrangement of charged particles shown in the figure below. What is the work necessary to
build such an arrangement of particles, assuming they were originally very far from one another? (Let q1 = 8.0 nC,
92 = 2.5 nC and q3 = -19.0 nC.)
y
(-12.0 cm, 0)
(12.0 cm, 0)
91
92
(-12.0 cm, – 12.0 cm)
93
Transcribed Image Text:Consider the final arrangement of charged particles shown in the figure below. What is the work necessary to build such an arrangement of particles, assuming they were originally very far from one another? (Let q1 = 8.0 nC, 92 = 2.5 nC and q3 = -19.0 nC.) y (-12.0 cm, 0) (12.0 cm, 0) 91 92 (-12.0 cm, – 12.0 cm) 93
Expert Solution
Step 1

In the given problem, there is an arrangement of three different charges, placed at three different points

q1=8 nC=8×10-9 C -12,0 cmq2=2.5 nC=2.5×10-9 C 12,0 cmq3=-19 nC=-19×10-9 C (-12,-12) cm

Since all these charges have been brought to their respective positions from far away, some work needed to be done in order to make the given arrangement.

This work done on the charge assembly gets converted into the electrostatic potential energy of the system of charges, and thus the work done is equal to their potential energy at the given points.

The potential energy for a system of charges separated by a distance r is given as

U=kq1q2rk is a constant, k=9×109

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