3. 2.3A Charge Triangle Three negative charges with charge -q occupy the vertices of an equilateral triangle with sides of length I as shown below: -q L -9 Enter an expression for the electric field magnitude at the point at the center of the triangle. The center is the point that is equally distant from all three vertices. You may use ke and the variables given. Preview will appear here... Enter math expression here

3. 2.3A Charge Triangle Three negative charges with charge -q occupy the vertices of an equilateral triangle with sides of length I as shown below: -q L -9 Enter an expression for the electric field magnitude at the point at the center of the triangle. The center is the point that is equally distant from all three vertices. You may use ke and the variables given. Preview will appear here... Enter math expression here

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 101P: In this exercise, you practice electric field lines. Make sure you represent both the magnitude and...

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In this exercise, you practice electric field lines. Make sure you represent both the magnitude and direction of the electric field adequately. Note that the number of lines into or out of charges is proportional to the charges. (a) Draw the electric field lines map for two charges +20C and 20C situated 5 cm from each other. (b) Draw the electric field lines map for two charges +20C and +20C situated 5 cm from each other. (c) Draw the electric field lines map for two charges +20C and 30C situated 5 cm from each other.
The figure shows a small positive charge some distance away from a larger positive charge. The smaller charge is currently a distance r₁ away from the center of the larger charge. The radius r₁ is twice as far away from the larger charge as 12. Answer the three questions below using three sig figs. S r.
Ql A pont charge is placed at each comer of a square with side length a. Find net electric force and electric field vectors on charge +2q at point C. b- D. 29 + 2q
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Calculate net at M. ve choge Define the term at a point. expl of the electrostatic force acting on it IS 1.1.3 Draw a labelled free-body diagram for sphere T. 1.1.4 Calculate the magnitude of the tension in the string. Two small charged spheres. A and B on insulated stands, with charges +2 x10° C and -4 x105 C respectively, are placed 0,4 m apart, as shown in the diagram below. M is the midpoint between spheres A and B. +2 x105 C 0,4 m -4 x10-5 C A M. 1.2.1 1.2.2 Placed at hint reserved
Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q. (Figure 1) Part A Calculate the x-component of the electric field produced by the charge distribution Qat points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, x, r, and appropriate constants. Part B Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, x, r, and appropriate constants. Part C Calculate the magnitude of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q.Part D In what direction the charge distribution Q exerts force on q. In what direction the charge distribution exerts force on .to the left to the right
Problem 1: What is the force F on the 1.0 nC charge at the bottom in Fig.1. Give your answer in component form. 2.OnC a) In Fig. 1, draw the vectors that represent the forces F₁, F2, and F3, exerted on the bottom charge by charges 1, 2, and 3, respectively. Pay attention to represent correctly the ratios between the magnitudes y of the forces (lengths of the vectors). Without doing calculations, try to predict the direction of the total force on the bottom charge (the total force is the vector sum of the individual forces, F = F₁+F₂ +F3). 5.0 cm 7x -6.0nC 45° 1.OnC -2.0nC 30 5.0 cm FIG. 1: The scheme for Problem 1
ReviewV nstants What is the new charge density on the outside of the sphere? A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of 0.200 m has a uniform surface charge density of +6.67 x 10-6 C/m2. A charge of -0.700 µC is now introduced into the cavity inside the sphere. Express your answer with the appropriate units. Value Units O = Submit Request Answer Part B Calculate the strength of the electric field just outside the sphere. Express your answer with the appropriate units. HẢ ? E = Value Units Submit Request Answer Part C What is the electric flux through a spherical surface just inside the inner surface of the sphere? Express your answer with the appropriate units.
Figure 1: In all the problems below ř is a vector pointing from the origin of coordinate system toward the field point. 1. Consider an atom consisting of two electrons, cach of charge -e embedded in a sphere of uniform charge density of total charge +2e and radius R. In equilibrium, cach electron is a distance d from the center of the atom. Find the distance in terms of the other properties of the atom. The force on one of the electrons set equal to zero gives: 1a R3 F = e[- 3c0 If =0 d= R/2 (True, False) 4xco(2d)2
L/2+ L/2 Note: Figure not drawn to scale. 1. A very long, thin, nonconducting cylinder of length L is centered on the y-axis, as shown above. The cylinder has a uniform linear charge density +2.. oint. is located on the y-axis at y = c, where L >> ¢. a) Kecling.c Abh ri gle Circle GEOMETRY AND TRIGONOMETRY i. On the figure shown below, draw an arrow to indicate the direction of the electric field at point F due to the long cylinder. The arrow should start on and point away from the dot. ii. escribe the shape and location of a Gaussian surface that can be used to determine the electric field at point P due to the long cylinder. iii. Use your Gaussian surface to derive an expression for the magnitude of the electric field at point P. E press your answer in terms of 2, c, L, and physical constants, as appropriate. A==bh A = r² C = 277 =r8 Rectangular Solid Vi h Cy.inder Sphere V = r²t Sm V=² S-427² sine Rig Triangle 2+6²=c² cos@= tan= +2 BIL a b C 2x. Q b ADVANCED PLACEMENT PHYSICS C…
The fgure shows the electrc feld ines between two large parallet plates with charge densities a and -a The electric Seld is uniform in the space between the plates. Point A is right below point B, and point Cis to the left of point B. Which statement is correct? Ignore the gravitational force. Ata Plates Click here for PDF version Oa The upper plate is positive and the lower plate is negative Ob Aproton at A would experience the same force if it were placed at C Oc A proton at A experiences a greater force than if it were placed at B Od. Aproton at A experiences less force than if it were placed at C
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