Problem #6:
In the figure, four charges, given in multiples of 3.00×10-6 C form the corners of a square and four more charges lie at the midpoints of the sides of the square. The distance between adjacent charges on the perimeter of the square is d = 7.00×10-3 m. What are the magnitude and direction of the electric field at the center of the square?
1) The magnitude of E? _______
2) Ex? ________
3) Ey? ________
Two +3 q charges will balance each other, Similarly two +q
charges would do.
Enet = (k*5q/(2*d^2) *cos(45) + k*q/d^2) i^
+ k*5q/(2*d^2) *sin(45) j^ N/C
Enet = [(8.9*10^9*5.0*3.0*10^-6)/(2*(7.0*10^-3)^2) *cos(45) +
(8.9*10^9*3.0*10^-6)/(7.0*10^-3)^2] i^ +
(8.9*10^9*5.0*3.0*10^-6)/(2*(7.0*10^-3)^2) *sin(45) j^
N/C
Enet = 1.51 * 10^9 i^ + 9.63 * 10^8 j^ N/C
Ex = 1.51 * 10^9 N/C
Ey = 9.63 * 10^8 N/C
|E| = sqrt(Ex^2 + Ey^2)
|E| = sqrt( (1.51 * 10^9 ^2 + (9.63 * 10^8 )^2 )
|E| = 1.79 * 10^9 N/C
Magnitude of Electric Field, |E| = 1.79 * 10^9
N/C
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