Question

Assignment 3 Problem 1 Give your answer in component formn. (Assume that -axis is horisontal and points to the right, and y-axis points upward) Express your answer in terms of the unit vectors i and . Express your answer using two significant figures What are the srength and drection of the electric field at the position indicated by the dot in the figurel(Figure 1)? N/C Submit Request Answer Part a fom the positve z-axs. from the positive 2-axs Give your answer as a magnitude and ange Express your answer using two signficant figures Figure 《 1of1 N/C 2.0 cm Subm Resuest Answer 10 aC Part C 40cm Express your answer using two significant figures 50 nC CW from the +a-axis

Answer 1

Step - 1 (a) observe the figure The three point are q_1 = 5 nc, q_2 = 10 nc and q_3 = -5.0 nc the angle of the field at the dot from the bottom charge (q_1 = 5 nc) is tan^- 1 (0/0.02) + 180 = 180 degree the angle at the dot from the top charge (q_3 = -5.0 nc) is tan^- 1 (0.04/0) = 90 degree the angle of field at dot from top left charge (q_2 = 10 nc) is tan^- 1 (0.04/0.02) + 90 degree = 153.43 degree Electric field due to charged particle is E = 1/4 pi epsilon_0 q/r^2, where epsilon_0 is permittivity of free space 8.85 times 10^- 12 c^2/N m^2 r is distance bt two point charges step - 2 The distance between bottom charge and the dot is r_1 = 2 cm = 0.02m For the charged particle along bottom surface is E_1 = 1/4 pi epsilon_0 q_1/(r_1)^2 = 1/4 pi (8.85 times 10^- 12) 5 times 10^-9/(0.02)^2 = 5 times 10^- 9/0.0448 times 10^- 12