Electric Field and Potential of Center of Square

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To calculate the electric field and potential at the center of a square formed by four charges, the relevant equations for electric field (E) and electric potential (V) from a single charge are E = k*q/r^2 (vector) and V = k*q/r (scalar), where k is Coulomb's constant. The electric field at point P is the vector sum of the fields due to each charge, while the potential is the algebraic sum of the potentials from each charge. For achieving zero potential at the center with charges of +6μC, +12μC, and +24μC at three corners, the charge at the remaining corner must be calculated based on the contributions of the other charges. The discussion emphasizes understanding the vector nature of electric fields and the scalar nature of electric potential in these calculations. Accurate calculations will yield the required values for both the electric field and potential at point P.
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Four Charges q1 = 1nC, q2 = -1nC, q3 = 3nC, and q4 = -3nC are placed at the corners of a square located in the plane xy, with size of length L 1m, as follows: q1 at (0,0); q2 at (1,0); q3 at ( 1,1); and q4 at (0,1). Calcuate the electric field at point P located in the middle of the square and find the electric potential at the same point!


Could someone please help me solve this! thanks
 
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Show some work please. What are the equations for the electric field and electric potential from a single charge? Are these quantities vectors or scalars?
 
how to solve this "charges of +6,+12and+24uc are placed at threecorner of square. what charge should be placed at the remainig corner in order to have zero potential at the centre of the sqare ??
 

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