Four charges are placed at the vertices of a square, centered at the origin, as
ID: 1646935 • Letter: F
Question
Four charges are placed at the vertices of a square, centered at the origin, as shown in the diagram. If each side of the square has a length of 0.216 m, what is the strength and direction of the net electric field at the origin? Express your answer in terms of the charge magnitude q.
Four charges are placed at the vertices of a square, centered at the origin, as shown in the diagram. If each side of the square has a length of 0.216 m, what is the strength and direction of the net electric field at the origin? Express your answer in terms of the charge magnitude q.
24.8.1 Four charges are placed at the vertices of a square, centered at the origin, as (5.00) shown in the diagram. If each side of the square has a length of 0.216 m, what is the strength and direction of the net electric field at the origin? Express your answer in terms of the charge magnitude q. -q (0/6 submissions used) N/C, (0/6 submissions used)
Explanation / Answer
Electric field is basically the force experienced by a unit positive charge due to presence of others charges.
If a unit positive charge is placed at the origin(the point where electric field is to be determined), the resultant force = electric field at that point
The force on the unit charge due to charges at Northwest corner and South West corner of the square will get cancelled out because of equal magnitude and opposite direction
The forces on the unit charge due to charges at northeast and SouthWest corners will get added up because they are acting in same direction(towards South East)
Magnitude of electric field at origin due to charge at NorthEast = kq/(0.216²/4) =4*9*109q/0.216²
=166.67*109 q N/C(towards southwest)
Magnitude of electric field at origin due to charge at SouthWest = kq/(0.216²/4) =4*9*109q/0.216²
=166.67*109 q N/C(Towards southwest)
Therefore, total electric field at origin=333.33*109 N/C(towards southwest)i. e., 135 degrees measured anticlockwise from positive y axis
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