Question

uic 1ourtul corher 6. The world's largest windows, which are in the Palace of Industry and Technology in Paris, France, have a maximum width of 218 m and a maximum height of 50.0 m. Consider a rectangle with these dimensions. If charges are placed at its corners, as shown in the figure below, what is the electric field strength at the center of the rectangle? The value of q is 6.4 nC 218 m E24 150.0 m 3g

Answer 1

q = 6.4 nc oA = oB = oc = oD = squareroot 50^2 + 218^2/2 = 111.83 m Electric Field at centre 'o' theta = tan^-1 (218/2 times 50/2) theta = 77.1 degree E_A, E_B, E_c and E_D Electric field due to correct charge A, B, C and D respectively. E_A = kq/OA^2 = 9 times 10^9 times 6.4/(111.83)^2 = 4.606 times 10^-3 N/C E_B = kq/oB^2 = 4.606 times 10^-3 N/C E_c = 3kq/oc^2 = 1.38 times 10^-2 N/C E_D = 2kq/oD^2 = 9.21 times 10^-3 N/c E_net = squareroot 4.606^2 + 9.21^2 + 2(4.606 times 9.21) cos(154.16) times 10^-3 E_net = 5.45 times 10^-3 N/C