5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle of radius a in the xy plane, as shown. a. Find the electric field along the positive 2-axis for this arrangement of charge. b. By looking in the limit, z» a, can you determine the electric dipole moment vector p of this arrangement of charge? Hint: The idea is to match what you find here in this limit with the standard form for a dipole either along the axis or in the bisecting plane from lecture-whichever is the appropriate case.

5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle of radius a in the xy plane, as shown. a. Find the electric field along the positive 2-axis for this arrangement of charge. b. By looking in the limit, z» a, can you determine the electric dipole moment vector p of this arrangement of charge? Hint: The idea is to match what you find here in this limit with the standard form for a dipole either along the axis or in the bisecting plane from lecture-whichever is the appropriate case.

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

1. A very large flat insulating sheet with uniform charge per area n (SI units: C/m²) sits in the y-z plane at x = 0. We want to find the electric field at a point Pa distance x from the sheet. Assume P is far from the edges and x is small compared to the size of the sheet. Assume that is positive. From symmetry, the electric field must point directly away from the sheet. We choose to draw the Gaussian surface as a cylinder of radius R that extends a distance x on both sides of the sheet. а. Which statement is true regarding the flux through the Gaussian surface? Choose one answer below! The electric flux through all the surfaces is zero. The flux through the endcaps is zero and the flux through the curved section is positive. The flux through the endcaps is zero and the flux through the curved section is negative. R The flux through the curved section is zero. The flux through the right endcaps is positive and through the left endcaps is negative. The flux through the curved section…
Two squares plates have the surface charge densities of +o and -o and sides of length L. They are face to face next to each at a distance of 0.01L apart. Let ko = 1. 0.01L a. What is the magnitude of the electric field in the middle between the centers of both plates? b. What is the magnitude of the electric field in the middle between the centers of both plates in the near-field approximation? c. What is the relative error of the near-field approximation?
v Question Completion Status: Question 5 A hollow long conducting cylindrical shell of radius a = 0.2m and carries surface charge density a = 18 nC/m2. The electric field (in N/C) a point P located at r = 1m is: i a A Moving to another question will save this response. Waiting for blackboard.uob.edu.bh.
Two 10-cm-diameter charged rings face each other, 25.0 cm apart. Both rings are charged to +40.0 nC. What is the electric field strength: Part A For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Charge on a Van De Graaff. at the midpoint between the two rings? Express your answer with the appropriate units. HÀ ? Value Units Submit Request Answer Part B at the center of the left ring? Express your answer with the appropriate units.
a. A thin line charge, infinite in both directions, has a charge density per unit length of 2.00 µC/m. What is the electric field strength a distance 0.50 meters from the e. (axioc) 3.8 X104 RTT( 8.85x1018) cokec tion: ヤート D. A -5.00 µC charge is 0.50 meters from the line charge mentioned in part a. What is the electrostatic force on this charge? Is this force directed toward or away from the line charge? Fこ EG -(3.8x104) (-5x16-6) - 0.19 remains can- the kin anetic A large flat insulating membrane has a uniform chargeo of +12.0 µC/m². What is the electric field strength above the charged surface? с. (こマメIC6 つ1Xと =2 2(8.85x1019) 5.31 X107 w ould double Cth d. Suppose a +4.00 µC charge and a +7.00 µC charge are separated by 3.00 meters. How far from the +4.00 µC charge does the electric field vanish? What the the magnitude of the force on a test charge is it is placed at this point? Enew, 72F ベ-8 (7x100) RF F=(4X10
Electric Fields 3. A plastic rod is bent into the quarter circle of radius R as shown below. A total positive charge of Q is evenly distributed along the rod. In terms of the given quantities, what is the linear charge density 1? а. || b. Set up the two integrals you would evaluate to find the components of the electric field. The integrals should be written in terms of the given quantities {Q and R} Ex Ey = с. Evaluate your integrals to write down the electric field vector at the origin. R E = of 10
1.Charge, Q= 2.20nC is uniformly distributed along the thin rodof length, L= 1.20m shown above. a.Determine the linear charge density of the rod. b.Determine an expression for charge dqon an infinitesimally small section of the rod of length dxin terms of the charge density and dx. c.The point P1is located a distance a= 0.300m from the end of the rod. Determine an expression for the distance, rbetween the point P1and an arbitrary chunk of the rod located an arbitrary distance xfrom the origin (between 0 and L). d.Determine an expression for the electric field dEat P1due to only the arbitrary chunk of the rod from part c. Use k, λ, x, L, and a. e.Determine the net electric field, Eat a point P1due to the entire rod.
1. A thin sheet of sides 2a and 2b lying in the xy plane and centered at the origin has a uniform charge density o (see figure). a. Using the result of Example 1 in the Chapter 23 slides, show that the electric field on the z-axis is given by of ab E = 4k,o arctan | zva² + b² + z². To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. b. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides. c. Using the results of part (a), find an integral expression for the electric field at an arbitrary point on the x-axis created by a cube of side 2a centered at the origin with uniform volume charge density p. You do not need to solve this integral.
A very long, uniformly charged cylinder has radius R and linear charge density λ. a. Find the cylinder's electric field strength outside the cylinder, r≥R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find the cylinder's electric field strength inside the cylinder, r≤R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.
A) A circular loop with a radius r carries a uniform charge with the line charge density A. Find the electric field E at point P located at a distance z above the loop of radius r, see the figure below. Plot the electric field strength E(z) as a function of z along the z-axis and find the maximum value of the field. B) For a charge q located at point P, calculate the flux of the electric field through the circular loop. What is the maximum value of the flux possible? | 1 T P Z
In the figure, the point charges are located at the corners of an equilateral triangle 29 cm on a side. A. Find the magnitude of the electric field in N/C at the location of qa, given that qb = 10.8 μC and qc = –5.9 μC . B. Find the direction of the electric field at qa in degrees above the negative x-axis with origin at qa. C. What is the magnitude of the force in N on qa, given that qa = 1.7 nC? D. What is the direction of the force on qa in degrees above the negative x-axis with origin at qa?
I Review A positive point charge q sits at the center of a hollow spherical shell. The shell, with radius R and negligible thickness, has net charge -2q. Part A Find an expression for the electric field strength inside the sphere, r R. Give your answer as a multiple of q/e0. ? Submit Request Answer 圓