2)Now there are 5 charges. Calculate the net Electric field at P, which you can assume is on t - axis. Notice that P is much further away now. - a. Can we simplify this? What do we have to say about point P to do this simplifying? (Hint: Compare the distance to P, L, and the distance between the charges. The r's of question 3 are much larger than the r's of question 2. Also, the ang here are much smaller) b. If we set the condition on the placement of P in relation to the q's, what law would

2)Now there are 5 charges. Calculate the net Electric field at P, which you can assume is on t - axis. Notice that P is much further away now. - a. Can we simplify this? What do we have to say about point P to do this simplifying? (Hint: Compare the distance to P, L, and the distance between the charges. The r's of question 3 are much larger than the r's of question 2. Also, the ang here are much smaller) b. If we set the condition on the placement of P in relation to the q's, what law would

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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Part D. Integrate your expressions for dEx and dEy from θ=0 to θ=π. The results will be the x-component and y-component of the electric field at P. Express your answers separated by a comma in terms of some, all, or none of the variables Q and a and the constants k and π. Part E. Use your results from part D to find the magnitude and direction of the field at P. Part F. What would be the electric field at P if the semicircle were extended to a full circle centered at P?
Explain, giving detailed steps, how you would deter: une the electric field vector at point P. Give an expression for the electric field vector at point P if | q|= 0.1 nC and a = 0.001 metre.
Electric field lines are computed with the following algorithm: 1. Pick a starting point (x.y) in space. Compute the electric field vector direction there. 2. Take a small step along this vector to another point. Compute the electric field vector at this point. Connect the previous vector to this one. 3. Repeat 2. until you step off the page, step into a charge, or reach a location where the electric field is zero. 4. Repeat 1-3 until you have enough field lines to determine the field direction in a given region of the plot. 1. A point clange y is an («,y) ** (-1,0) aKi a pa ini eharge +q is at (x,y) = (+1,0) meters. Draw an electric field line for each of the following starting points. x,y)=(0,0.1)
B. Solve the following problems. Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). 1. The first charge with -3.0 µC is situated on the y-axis 2 m from the starting point at the coordinates (0,1) while a second charge with +1.0 µC is located on the x-axis 2 m from the starting point at the coordinates (1,0). a. What is the magnitude of the electric field? b. What is the direction of the electric field? c. What is the electric potential (let us assume that the distance is infinite and the potential value is equal to zero)? d. What is the energy needed to bring a +1.0 µC charge to this position from infinitely far away?
Electric field lines are computed with the following algorithm: 1. Pick a starting point (x.y) in space. Compute the electric field vector direction there. 2. Take a small step along this vector to another point. Compute the electric field vector at this point. Connect the previous vector to this one. 3. Repeat 2. until you step off the page, step into a charge, or reach a location where the electric field is zero. 4. Repeat 1-3 until you have enough field lines to determine the field direction in a given region of the plot. 1. A point charge +q is at (x.y) = (-1,0) and a point charge +q is at (x,y) = (+1,0) meters. Draw an electric field line for each of the followir.g starting points. ("SUNNY (x,y) = (-0.9,0) SUNNY
For the problem situation in Figure 1.4, where Q= 2x10C, determine: 1. The electric field strength at point B. 2. The direction of the electric field at point B. 3. The magnitude and direction of the electrostatic force exerted by the electric field on a charge q =-2x10-"C placed at point B.
Eo B. EVALUATION: Solve the following problems correctly. Write your complete solution in a vellow pad paper and write your final answer on the answer sheet provided. (Always attach your solution to the answer sheet for reference. No solution means deduction to the score) 1. The total electric flux from a cubical box of side 28.0 cm is 1.45x10°N/m?/C². What charge is enclosed by the box?
Explain, giving detailed steps, how you would determine the electric field vector at point P. Give an expression for the electric field vector at point P if |g |= 0.1 nC and a = 0.01 metre.
1) Calculate the voltage in a spherical conductor. You need to use the integral form of AV. O + The conductor is effectively a point charge from outside the conductor. This problem is far out. Start from infinity and come up to the surface of the conductor imagining there is a point charge in the middle of the conductor. Use this information to set a up and integral form for AV. Then solve. Then apply the fact that the V = const in a conductor
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 We have said that Gauss's law is always true, but only useful for calculating the electric field created by source charge distributions that are spheres, infinite straight cylinders, and infinite flat sheets, and even those cases have additional restrictions. a) Explain why we are limited to those distributions. Discuss what additional restrictions apply. For example, can we use Gauss's law to find the field of a sphere whose density depends on distance r from the center? Can we do it for a sphere whose density depends on angle (e.g. different at the poles from at the equator)? Why or why not? b) Can we use it for a uniformly charged ring? a uniformly charged cube? Why or why not? c) Summarize the key features for each of the possible distributions when the charge density is uniform throughout the sphere, cylinder or plate by filling out the table below answering the following questions: What is the shape of the test surface? What variable do we (or the text) usually use to…
Q1. Four conducting plates are separated in space as shown below (cross-section is shown, the sheets are coming in and out of the page). The cross-sectional area is A and it is much larger than the separation between the plates. Plate 1 and 3 are connected by a wire and similarly plate 2 and 4 are connected with a wire. Total charge Q is placed on plates 1 and 3; while total charge -Q is placed on the plates 2 and 4. Calculate the potential difference between the plates. Sheet 1 Sheet 2 a a Sheet 4 Sheet 3