Three charges are fixed to an x,y coordinate system. A charge of + 18 µC is on the y-axis at y =+3.0 m. A charge of -12 µC is at the origin. Last, a charge of +45 µC is on the x-axis at X = +3.0 m. (a.) Draw a diagram of the charges as stated in the problem. (b.) Illustrate the electrostatic force on q3 due to q1 (F31) and electrostatic force on q3 due to q2 (F32). (c.) Using SOHCAHTOA, solve for the missing angle which is required in finding the x- and y- components of F31 and F32. (d.) Determine the magnitude and direction of the net electrostatic force on the charge at X = + 3.0 m. Specify the direction relative to the - x axis. Note: Don't forget to solve for the x- and y-components of F31 and F32.

Three charges are fixed to an x,y coordinate system. A charge of + 18 µC is on the y-axis at y =+3.0 m. A charge of -12 µC is at the origin. Last, a charge of +45 µC is on the x-axis at X = +3.0 m. (a.) Draw a diagram of the charges as stated in the problem. (b.) Illustrate the electrostatic force on q3 due to q1 (F31) and electrostatic force on q3 due to q2 (F32). (c.) Using SOHCAHTOA, solve for the missing angle which is required in finding the x- and y- components of F31 and F32. (d.) Determine the magnitude and direction of the net electrostatic force on the charge at X = + 3.0 m. Specify the direction relative to the - x axis. Note: Don't forget to solve for the x- and y-components of F31 and F32.

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

Two point charges, Q1 = -8 mC and Q2 = -5 mC, are separated by a distance r = 10cm. What is the magnitude of the electric force?
Three equal charges, each of +4.6 pC, are spaced along a straight line. Charge A, is at one end of the line of 1.8 m from the central charge, B. Charge C is the other side of charge B a distance of 2.2 m from charge B. What is the magnitude and direction of the total force on each charge?
Three charges are situated at corners of a rectangle as in the figure below. How much energy would be expended in moving the 8.0 µC charge to infinity?
A point charge of 7.19x10^-6 C is at the origin while a second point charge of -6.87x10^-6 C is at the coordinates (0.58,0.32) meters. In degrees relative to he positive x direction, what's the direction of the force exerted on the charge at the origin?
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.0895 N when their center-to-center separation is 66.1 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0282 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number (b) Number Units Units
There is a 30 microcoulomb charge at the origin. There is a 154 microcoulomb charge on the x axis at x = 4 meters, and a 146 microcoulomb charge on the y axis at y = 4 meters. What is the magnitude of the net force from the interaction between the charges on the 30 microcoulomb charge at the origin. Give you answer in Newtons
The figure below shows three small, positively charged beads at three corners of a rectangle. The particle at upper left has a charge q1 = 3.00 nC, the one at the lower left has a charge of q2 = 6.00 nC, and the one at lower right has a charge q3 = 4.00 nC. The rectangle's horizontal side has length x = 7.00 cm and its vertical side has length y = 2.00 cm. Three positive charges lie at three of the corners of a rectangle of horizontal side length x and vertical side length y < x. An charge labeled q1 is at the upper left corner. A charge labeled q2 is at the lower left corner. A charge labeled q3 is at the lower right corner. (a) What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.) V (b) What would be the potential (in V) at the upper-right corner if the charge q2 at lower left was −6.00 nC instead? V
Two point charges are situated in a cartesian coordinate system as follow: Q1 = 7.2 x 10^-6 C @ the coordinates (-0.43, 0.62) m Q2 = -4.7 x 10^-6 C @ the coordinates (0.78, 0.43) m What is the direction of the net electric field at the origin (0,0)? Answer this as an angle measured in degrees relative to the +x direction. Let answers in the first 3 quadrants be positive and negative in the 4th quadrant.
The charges on three identical metal spheres are -11.4 μC, 3.80 μC, and 1.90 μC. The spheres are brought together so they simultaneously touch each other. They are then separated and placed on the x and y axes, as shown in the figure. Treat the spheres as if they were particles. What is the net force ((a) magnitude and (b) direction) exerted on the sphere at the origin? Express the direction as an angle in the range (-180°, 180°) with respect to the positive x-axis direction. 92 91 4.90mm 4.90 mm 93 -- SUPPO (a) Number i Units (b) Number i Units
Three charges are arranged along the x-axis. Two of the charges locations are known. Q1 = 4 nC and is located at the origin. Q2 = -8 nC is located 6 cm to the left of the origin. The third charge, Q3 is in equilibrium. (a) What is the location of Q3? (b) Does the charge of Q3 matter when determining its location? Explain.
+1.0 uC +4.0 uC -1.0 uC +6.0 µc 13. The drawing shows four charges in which each are placed on the x and y axes. They are all located at the same distance of 5 cm from the origin O. For each of the situations in the drawing, determine the magnitude and direction of the net electric field at the origin. (show each component of the net electric field) (k = 8.99 x 10° Nm2/c2)
Three point charges are placed on the x-y plane: a +25.0 nC charge at the origin, a -25.0 nC charge on the x axis at 10.0 cm, and a +110 nC charge at the point (10.0 cm, 8.00 cm). Find the x component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the y component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the x component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.) Find the y component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.)