**Problem Statement:**Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle \( q = 5.06 \, \text{nC} \) at the origin. (Let \( r_{12} = 0.275 \, \text{m} \).)- **Magnitude:** \( \_\_\_\_\_\_\_\_ \) N- **Direction:** \( \_\_\_\_\_\_\_\_ \) \(^\circ \text{ counterclockwise from the } +x \text{ axis} \)**Figure Explanation:**The figure shows a coordinate system with the y-axis and x-axis labeled. Three point charges are placed as follows:1. A charge \( q \) with a value of \( 5.06 \, \text{nC} \) is placed at the origin (0, 0).2. A charge \( 6.00 \, \text{nC} \) is placed on the positive x-axis at a distance \( r_{12} = 0.275 \, \text{m} \) from the origin.3. A charge \( -3.00 \, \text{nC} \) is placed on the negative y-axis at a distance of \( 0.100 \, \text{m} \) from the origin.The charges are positioned as follows:- The \( 6.00 \, \text{nC} \) charge is located directly to the right of the origin.- The \( -3.00 \, \text{nC} \) charge is located directly below the origin.**Instructions:**To solve the problem, calculate the resultant electric force on the charge \( q \) due to the other two charges. Use Coulomb's law to determine the forces, and then find the resultant vector by combining the individual force vectors. Finally, determine the magnitude and the angle of the resultant force vector, measured counterclockwise from the \( +x \)-axis.**Helpful Calculations:**1. Calculate the force \( F_1 \) on \( q \) due to the \( 6.00 \, \text{nC} \) charge.2. Calculate the force \( F_2 \) on \( q \) due to the \( -3.00 \,

Given: The magnitude of the charge (q) is 5.06 nC. The distance of the charge -3 nC from the charge…

Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.06 nC at the origin. (Let 12 = 0.275 m.) magnitude direction ° counterclockwise from the +x axis 6.00 nC 0.100 m -3.00 nC

Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.06 nC at the origin. (Let 12 = 0.275 m.) magnitude direction ° counterclockwise from the +x axis 6.00 nC 0.100 m -3.00 nC

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)...

See similar textbooks

Similar questions

116,973 electrons are removed from two identical spheres. Two equally positive charged spheres are then separated so that the repulsive force on each sphere has a magnitude of 3.02 x 10-15 newtons. What is the distance between the spheres in meters? Use k = 9.0 x 109 N m2/C2
At the corners of an equilateral triangle there are three point charges. q1 = 2.9 µC, q2 = -4.5 µC, q3= 7.9 µC as seen in the figure. Calculate the total electric force on the charge. . The distance between charges is d = 0.66m. Remember .Ke = 8.99 x 10^9
Two charges Q=29µC and Q2=-.56µC are placed on a semi-circle with a radius R=11mm as shown in the figure below. How much work must be done to bring a third charge Q3=6µC from infinity to point P. Express your answer in units of Joules using zero decimal places. Take Coulomb constant as k=9.0x109 N.m2/c2. Please do not forget the minus sign if your answer is negative. Q2 Q1 R P
Three-point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.20 nC at the origin. (Let r12 = 0.260 m.) find magnitude and direction counterclockwise from the +x axis
Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.30 µC charge. (Let A = 1.30 µC, B = 6.80 µC, and C = -4.32 µC.) %3D В 0.500 m 60.0° + A C magnitude N direction ° below the +x-axis
Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 4.90 nC at the origin. (Let r12 = 0.275 m.) magnitude N and direction ° counterclockwise from the +x axis
Three point charges are located at the corners of an equilateral triangle as shown. Each leg of 9₁ 1 = 4.88 the triangle has a length of 1.64 meters. And the charges have values as follows. Q microcoulombs, 28.03 microcoulombs, and 3 = -6.33 microcoulombs. f Calculate the net electric force (both magnitude and direction) exerted on 1. Magnitude? 3.98E-1N Direction? 237.95deg Submit Answer Incorrect. Tries 19/99 Previous Tries 2.2. Calculate the net electric force (both magnitude and direction) exerted on Magnitude? Submit Answer Tries 0/99 Direction? Q3. Calculate the net electric force (both magnitude and direction) exerted on Direction? Magnitude? Submit Answer Tries 0/99
Two positive point charges of Q1=9.5 µC and Q2=5.00 µC are fixed on the x-axis as shown in the figure. Find the magnitude of the net electric force (in N) on a third negative charge of q=-2.00 µC placed at the origin. 8.00 cm 1.20 cm 10:56
Two charges Q1=20µC and Q2=26µC are placed on a semi-circle with a radius R=10mm as shown in the figure below. How much work must be done to bring a third charge Q3=-9µC from infinity to point P. Express your answer in units of Joules using zero decimal places. Take Coulomb constant as k=9.0x109 N.m2/c2. Please do not forget the minus sign if your answer is negative. Q2 R Q1 *P R
Two identical point charges (q = +1.00 x 10-6 C) are fixed at opposite corners of a square whose sides have a length of 0.420 m. A test charge (90 = -7.50 × 10-8 C), with a mass of 2.80 x 10-8 kg, is released from rest at one of the corners of the square. Determine the speed of the test charge when it reaches the center of the square. Number i Units .90 VB
The diagram at the right shows three charges positioned to form an equilateral triangle. Each side has a length of 46 cm and each charge has a positive charge of 7.8 nC. Determine the magnitude and direction of the net electric force exerted upon the charge at point P at the top of the triangle.
Two charges, qA and qB are placed as shown in the picture below. The charges have the same absolute value, but their signs are opposite у [cm] + x [cm] An electron is placed at the origin. What is the direction of the electric force exerted on the electron due to these two charges? Assume the angle is measured counterclockwise relative to +x axis. Between 180 and 270 Between 90 and 180 Between 270 and 360 Between 0 and 90 degrees