### Analysis of Point Charges in Figure P19.13In this exercise, we analyze the interaction of three point charges as illustrated in Figure P19.13. The figure displays the arrangement of the charges along a horizontal plane.**Charge Details:**- A charge of +5.00 nC is located at the origin.- A second charge, +3.00 nC, is placed 0.300 meters to the right of the origin.- A third charge, -3.00 nC, is situated 0.100 meters below the origin, forming a vertical line with the first charge.#### Objectives:**(a)** Calculate the vector electric field at the origin due to the 5.00 nC, +3.00 nC, and -3.00 nC charges aligned as shown.- The electric field at a point due to a point charge is vectorial and can be represented in components along the x and y axes.- Use Coulomb’s Law to determine the contribution of each charge to the electric field.Fill in the components:- Electric field in the x-direction: ____ N/C i- Electric field in the y-direction: ____ N/C j**(b)** Calculate the vector force experienced by the +5.00 nC charge.- The force on a charge due to an electric field is given by F = qE.- Determine the forces in x and y directions, taking into account the influence of other charges.Fill in the components:- Force in the x-direction: ____ µN i- Force in the y-direction: ____ µN j#### Visualization:The diagram shows the position and relative distances between the charges with directional arrows indicating the direction of force or field due to each charge. Note that while charge magnitudes are labeled in nanoCoulombs (nC), calculations may require standard unit conversions.**Note:** Ensure calculations consider the sign and vector direction of each charge’s electric field and force.### End of ExerciseBy completing this exercise, learners will better understand the principles of electric fields and forces in the context of multiple point charges.

Three point charges are arranged as shown in Figure P19.13. 5.00 nC -3.00 nC 0.300 m 0.100 m 9 Figure P19.13 (a) Find the vector electric field that the q = 5.00 nC and -3.00 nC charges together create at the origin. N/CI+ N/CJ (b) Find the vector force on the 5.00 nC charge. UNÎ + µNj

Three point charges are arranged as shown in Figure P19.13. 5.00 nC -3.00 nC 0.300 m 0.100 m 9 Figure P19.13 (a) Find the vector electric field that the q = 5.00 nC and -3.00 nC charges together create at the origin. N/CI+ N/CJ (b) Find the vector force on the 5.00 nC charge. UNÎ + µNj

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Three point charges are located on a circular arc as Q2 shown in Figure P23.31. (a) What is the total electric field at P, the center of the arc? (b) Find the elec- tric force that would be exerted on a –5.00-nC point charge placed at P. +3.00 nC 4.00 cm -2.00 nC 30.0° P 30.0° 4.00 cm +3.00 nC Figure P23.31