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- anonymous

(Electricity and Magnetism)
Four objects each with charge 1.2×10−4 C are located at the corners of a square whose sides are 2.1 m long.
1. Find the electric force on a charged object placed at the center of the square.
2. Find the total electric potential energy of the system consisting of the four charged objects.

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- anonymous

- chestercat

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- EmmaTassone

|dw:1442777736531:dw|
As every object in the corner has the same charge and as they are equally far from that point , they do the same force to the object located in the center.
Try to prove it proposing the sum of forces of x and y axis and see what happens, you should get to zero as i said before.
In my drawing i supposed the object in the center had the opposite charge that the object in the corner, but if it had the same charge the result would be the same.

- EmmaTassone

For b) try using this:
\[U= U_{1}+U_2+U_3+U_4\]
Where U is the electric potential energy.
And U is:\[U=\frac{ k qQ }{ r }, k=constant,r=lenght,\]
q is the charge of one object and Q the charge of the other involucrated on the interaction.

- IrishBoy123

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