2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.

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I need help on this question. Could you please draw a diagram, or sketch. Could you also explain how your answers are reasonable and explain whether the answers are reasonable relative to the context provided in the question? Thank you.

2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is
4.0 mm on a side. These are the only charges in the region.
(a) Explain clearly why the electric field at the center of the square will be zero if two of the
charges, diagonally opposite each other, are positive, and the other two are negative.
(b) Find the magnitude and direction of the electric field at the center if two charges on one
side of the square are positive and the other two are negative. You will need to make
sure to describe the arrangement of the charges in your coordinate system in order to
correctly convey the direction of the field.
Transcribed Image Text:2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.
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