2) A positive charge +Q is distributed uniformly along the y-axis from y =0 to y = L. Determine expressions for the x and y-components of the total electric field due to this charge distribution at the location (a,0), that is, a distance a to the right of the origin. Make a sketch and show all details of the setup and integration.
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- 2. What happens then, if we had a collection ofn equally and positive charges? Write down the definition of what an electric field would be for n equally distant charges. What can we say about the difference between discrete and continuous charges? What are the different types of uniform charge distributions? + 43 Determine the net electric field on q5 given equally placed charges as shown by writing the expression in terms of vector components for some distance between each charge rı = r3 and r2 respectively.. Where is the electric field point?Two-point charges q1 and q2 both have a charge equal to +4nC and q1 is at the origin and q2 is at x=6cm.a) Plot the figure of the question and place all relevant quantities on the picture.b) Find the magnitute and direction of the electric field at a point P, which has coordinates (3,4) cm.c) Find the force exerted on a third charge q0=2nC when it is placed at point P.Electric Fields 1. A wire has been given a net positive electric charge Q evenly distributed along its length. The wire has a length of L and is located on the x-axis with its left end at the origin as drawn. Set up the integral you need to do to find the electric field at a distance d to the left of the origin. Some steps you may wish to follow are: a. Figure out the direction the electric field will have at our location x = -d. This will be the same as f b. Write the differential charge dą in terms of the charge per length and a differential length. c. ris a function of x which means we have to integrate to find the electric field. Write down r. d. Put everything together (including the vector direction) into one integral that would allow you to find the E-field. Write this in the box below. e. You are not required to complete the integral and no credit is given for completing the integral. d dE =
- Part A Use Coulomb's law to determine the magnitude of the electric field at points A and B in (Figure 1) due to the two positive charges (Q = 4.9 µC ) shown. Suppose that a = 5.9 cm. Determine the magnitude of the electric field at A. Express your answer to two significant figures and include the appropriate units. ? EA = Value Units Submit Request Answer Figure < 1 of 1 Part B Determine the angle between the direction of the electric field at point A and the positive x-direction. B A Express your answer using two significant figures. +Q +Q OA = a a 2a Submit Request Answer1) Sketch the electric field lines on top of the figure above. Also sketch the electric field vector atpoint P. 2) Integrate to find the value of the electric field at point P.3) Find the force that would act on a 2.0 μC charge placed at point P.Needs Complete typed solution with 100 % accuracy.
- Q3) Two point charges (Q = + 5.0 µC and Q2 = – 2.0 µ C) are held in place along the x-axis. Q, is at x1 = - 3.0 cm and Q, is at x2 = + 2.0 cm. a) Determine the electric field at (x, y) = (0,4.0 cm) in SI units. Represent your answer as a vector. Start with drawing a picture and setting up an appropriate coordinate system. b) Determine in what region along the x-axis it's possible for the electric field to be zero. There are three distinct regions: -o < x < x1, X1 < x < x2, and x2 < x < ∞ (this excludes x → ±∞ since the electric field is zero there). c) Now that you know in what region it's possible for the electric field to be zero, write out an expression you could solution to find exactly where this location is. Note: you DON'T have to solve it. d) Another charge (Q3 Newtons? Represent your answer as a vector. Hint: no need to apply Coulomb's law to Q3, you already know the electric field at this point. 4.0 µ C) is now placed at (x, y) = (0,4.0 cm). What is the net force on this…1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of g), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you -29 a a/2 make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).3. A positive charge of magnitude q, is shown at the right. Points B and C are a distance ro from the charge and point A is a distance 2r. from it. Let WAB represent the work done by an external agent in moving a small test charge from point A to point B. a. Use an arrow to indicate the direction of the electric field at points A, B, and C. X A X B X C qo b. Would the absolute value of the work done by an external agent in moving the same test charge from point B to point C be greater than, less than, or equal to WAB? Explain. c. Would the absolute value of the work done by an external agent in moving the same test charge from point A to point C be greater than, less than, or equal to WAB? Explain.