Calc Work Req'd for 4 Charges in Figure

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To calculate the work required to bring the charge q = -4.8 µC to the origin in the presence of three other charges (Q1 = 2.8 µC, Q2 = 4.4 µC, and Q3 = -3.7 µC), the potential energy (PE) of each charge must be considered. The work done is equal to the change in potential energy as the charge is moved from infinity to the origin. Additionally, the work required to move charge q back to a distance very far away can be determined using the same potential energy principles. The discussion emphasizes the importance of calculating the potential energy due to the interactions between the charges. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement



Consider the three charges in the figure below with Q1 = 2.8 µC, Q2 = 4.4 µC, and Q3 = -3.7 µC. A fourth charge q = -4.8 µC is brought from very far away and placed at the origin.

http://www.webassign.net/giocp1/18-p-009.gif

How much work is required in this process?
How much work is required to move q from the origin to a distance that is very far away?

Homework Equations



PE = -W = -F Δx = -qE Δx

The Attempt at a Solution



am i suppose to calculate the PE of each Q?
 
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The work done on the charge q is equal to the change of its potential energy when it is moved from infinity to the origin.

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