Four particles are located at the corners of a square that is 50 mm on a side. A

Question

Four particles are located at the corners of a square that is 50 mm on a side. All four particles carry a charge of magnitude 3.0 nC , with positive charge at the lower left corner and negative charge at the other corners. Assume that the positive x and y axes are directed to the right and upward, respectively, and that the sides of the square are parallel to these coordinate axes.

A.

Determine the x component of the electric field at the center of the square.

Express your answer with the appropriate units.

Ex=

B

Part B

Determine the y component of the electric field at the center of the square.

Express your answer with the appropriate units.

.

Ex=

B

Part B

Determine the y component of the electric field at the center of the square.

Express your answer with the appropriate units.

.

Explanation / Answer

Let, L = 50 mm = 0.05 m

then diagonal length = L*sqrt(2)

distance from each charge to center of the cube, d = (L/2)*sqrt(2)

= (0.05/2)*sqrt(2)

= 0.0353 m

we know, positive charges produce elctric filed radially outward and negative charges peoduce radially inward.

Electric field by each corner charge at center of the square,

E1 = E2 = E3 = E4 = E = k*q/d^2

= 9*10^9*3*10^-9/0.0353^2

= 2.17*10^4 N/c

Enet = 2*sqrt(2)*E

= 2*1.414*E

= 2*1.414*2.17*10^4

= 6.14*10^4 N/c (upward)

so,

A) Ex = 0

B) Ey = 4.34*10^4 N/c

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