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# Four particles, each carrying a charge of magnitude 4.0 nC, are at the corners of a square that has a side length of 2.0 m. Calculate the potential (relative to zero at infinity) at the center of the square if (a) all four particles are positively charged, (b) three particles are positively charged and one is negatively charged, and (c) two particles are positively charged and two are negatively charged.

Solution

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We have the following information regarding this information:

• Four particles of the same charge magnitude 3 nC
• Those particles are located at the corners of a square that has a side length of 3 m
• Zero potential set at infinity

We need to calculate potential at center of the square for the following cases:

• All particles are positively charged
• Three particles are positively charged, and one is negatively charged
• Two particles are positively charged and two are negatively charged

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