# Electric Field and Potential of Center of Square

In summary, four charges of q1 = 1nC, q2 = -1nC, q3 = 3nC, and q4 = -3nC are placed at the corners of a square with a length of L = 1m in the xy plane. To find the electric field and electric potential at point P in the middle of the square, we can use the equations for the electric field and potential from a single charge. These quantities are vectors and scalars, respectively. For the second problem, in order to have zero potential at the center of a square with charges of +6uC, +12uC, and +24uC at three corners, the remaining corner should have a
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!

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 ??

## 1. What is an electric field?

The electric field is a physical quantity that describes the strength and direction of the force exerted on a charged particle by another charged particle. It is represented by a vector and is measured in units of Newtons per Coulomb (N/C).

## 2. How is the electric field of a center of a square determined?

The electric field at the center of a square is determined by calculating the vector sum of the electric fields from each individual charge at the center point. The magnitude and direction of the electric field at the center point will depend on the distance and charge of each charge within the square.

## 3. What is the formula for electric potential?

The formula for electric potential is V = kQ/r, where V is the electric potential, k is the Coulomb constant (8.99x10^9 Nm^2/C^2), Q is the charge, and r is the distance from the charge. It is measured in units of Volts (V).

## 4. How does the electric potential vary at different points in the square?

The electric potential will vary at different points in the square depending on the distance and charge of each individual charge within the square. The closer a point is to a charge, the higher the electric potential will be. Additionally, the electric potential will be higher if the charge is positive and lower if the charge is negative.

## 5. What is the relationship between electric potential and electric field?

The electric field is the negative gradient of the electric potential. In other words, the electric field is the change in electric potential per unit distance. They are both related to the strength and direction of the electric force between charged particles.

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