Problem: Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of .What will be the potential energy Utot of the system of charges when charge +2q is at a very large distance from the other charges? Express your answer in terms of q, d, and appropriate constants. 

FREE Expert Solution

Electric potential energy:

U=kq1q2r

When the charge 2q is far away, the system potential is contributed by 3 charges.

rq,-3q = d

r5q,-3q = d

rq,5q = (d2 + d2)(1/2) = 2(1/2)d

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Problem Details

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of .

What will be the potential energy Utot of the system of charges when charge +2q is at a very large distance from the other charges? 

Express your answer in terms of q, d, and appropriate constants. 

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