Four point charges have the same magnitude of 2.4 ×10 -12 C and are fixed to the

Question

Four point charges have the same magnitude of 2.4 ×10-12 C and are fixed to the corners of a square that is4.0 cm on a side. Three of the charges are positive and one isnegative. Determine the magnitude of the net electric field thatexists at the center of the square. 54 N/C Four point charges have the same magnitude of 2.4 ×10-12 C and are fixed to the corners of a square that is4.0 cm on a side. Three of the charges are positive and one isnegative. Determine the magnitude of the net electric field thatexists at the center of the square. 54 N/C

Explanation / Answer

Given charge q = 2.4 * 10 ^ -12 C

Side a = 4 cm

Distance of the center from one of the corner r = a/ 2 = 2.828 cm =0.0282 m

Electric fields due to two positive charges which are on samediagonal at center are equal and opposite to each other.So, theycancel each other.

Electric fields due to other two charges which are on samediagonal at center are equal in magntide and are in same direction.So, they added each other

So, net electric field   at center E = Kq/ r ^ 2+ Kq / r ^ 2

                                                  = 2Kq / r ^ 2

Where K = coulomb’s constant = 8.99 * 10 ^ 3 N m^ 2/C ^ 2

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