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Find the electric field, in rectangular component form, at the point, P in the diagram below due to the stationary point charges, 9₁ and 92, where 9₁ = -2.00 μC and q₂ = +1.00 μC. (Assume that k = 9.0 x 109 Nm²/C²) L X 12 cm 91---- 692 5.0 cm O a. Ex = 8.2 x 107 N/C; Ey = -3.6x 107 N/C O b. Ex = -4.1 x 105 N/C; Ey = -3.6 x 105 N/C O C. Ex = -5.0 x 105 N/C; Ey = 4.0 x 105 N/C O d.Ex = -4.1 x 107 N/C; Ey = -3.6 x 107 N/C O e. Ex = 6.7 x 105 N/C; Ey = 8.9 x 105 N/C

Find the electric field, in rectangular component form, at the point, P in the diagram below due to the stationary point charges, 9₁ and 92, where 9₁ = -2.00 μC and q₂ = +1.00 μC. (Assume that k = 9.0 x 109 Nm²/C²) L X 12 cm 91---- 692 5.0 cm O a. Ex = 8.2 x 107 N/C; Ey = -3.6x 107 N/C O b. Ex = -4.1 x 105 N/C; Ey = -3.6 x 105 N/C O C. Ex = -5.0 x 105 N/C; Ey = 4.0 x 105 N/C O d.Ex = -4.1 x 107 N/C; Ey = -3.6 x 107 N/C O e. Ex = 6.7 x 105 N/C; Ey = 8.9 x 105 N/C

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Find the electric field, in rectangular component form, at the point, P in the diagram below due to the stationary point charges, q1 and q2, where q1 = -2.00 μC and q2 = +1.00 μC. (Assume that k = 9.0 x 109 Nm2/C2)

 



 

  a.

Ex = 8.2 x 107 N/C; Ey = -3.6x 107  N/C
  b.

Ex = -4.1 x 105 N/C; Ey = -3.6 x 105 N/C   
  c.

Ex  = -5.0 x 105 N/C ;  Ey = 4.0 x 105 N/C
  d.

Ex  = -4.1 x 107 N/C; Ey = -3.6 x 107 N/C
  e.

Ex = 6.7 x 105 N/C; Ey = 8.9 x 105 N/C
**Problem Statement:** Find the electric field, in rectangular component form, at the point P in the diagram due to the stationary point charges \( q_1 \) and \( q_2 \), where \( q_1 = -2.00 \, \mu C \) and \( q_2 = +1.00 \, \mu C \). (Assume that \( k = 9.0 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)) **Diagram Explanation:** - The diagram features a coordinate system with the x and y axes. - Two point charges are placed on the x-axis: - \( q_1 \) is at the origin of this segment (5.0 cm from the origin), depicted as a blue dot. - \( q_2 \) is 5.0 cm along the x-axis from \( q_1 \), depicted as a red dot. - Point P is located 12 cm above \( q_2 \) on the y-axis. **Given Options for Electric Field Components at Point P:** a. \( E_x = 8.2 \times 10^7 \, \text{N/C}; \, E_y = -3.6 \times 10^7 \, \text{N/C} \) b. \( E_x = -4.1 \times 10^5 \, \text{N/C}; \, E_y = -3.6 \times 10^5 \, \text{N/C} \) c. \( E_x = -5.0 \times 10^5 \, \text{N/C}; \, E_y = 4.0 \times 10^5 \, \text{N/C} \) d. \( E_x = -4.1 \times 10^5 \, \text{N/C}; \, E_y = 4.0 \times 10^5 \, \text{N/C} \) e. \( E_x = 6.7 \times 10^5 \, \text{N/C}; \, E_y = 8.9 \times 10^5 \, \text{N/C} \) **Objective:** Calculate the electric field at point P in terms of its x and y components due to
Transcribed Image Text:**Problem Statement:** Find the electric field, in rectangular component form, at the point P in the diagram due to the stationary point charges \( q_1 \) and \( q_2 \), where \( q_1 = -2.00 \, \mu C \) and \( q_2 = +1.00 \, \mu C \). (Assume that \( k = 9.0 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)) **Diagram Explanation:** - The diagram features a coordinate system with the x and y axes. - Two point charges are placed on the x-axis: - \( q_1 \) is at the origin of this segment (5.0 cm from the origin), depicted as a blue dot. - \( q_2 \) is 5.0 cm along the x-axis from \( q_1 \), depicted as a red dot. - Point P is located 12 cm above \( q_2 \) on the y-axis. **Given Options for Electric Field Components at Point P:** a. \( E_x = 8.2 \times 10^7 \, \text{N/C}; \, E_y = -3.6 \times 10^7 \, \text{N/C} \) b. \( E_x = -4.1 \times 10^5 \, \text{N/C}; \, E_y = -3.6 \times 10^5 \, \text{N/C} \) c. \( E_x = -5.0 \times 10^5 \, \text{N/C}; \, E_y = 4.0 \times 10^5 \, \text{N/C} \) d. \( E_x = -4.1 \times 10^5 \, \text{N/C}; \, E_y = 4.0 \times 10^5 \, \text{N/C} \) e. \( E_x = 6.7 \times 10^5 \, \text{N/C}; \, E_y = 8.9 \times 10^5 \, \text{N/C} \) **Objective:** Calculate the electric field at point P in terms of its x and y components due to
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