) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s < R. b. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s> R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. the x axis with its

) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s < R. b. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s> R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. the x axis with its

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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Time left C For which of the following charge distributions would Gauss's law not be useful for calculating the electric field? a spherical shell of radius R with charge uniformly distributed over its surface O a. O b. an infinitely long cylinder of radius R with charge uniformly distributed over its surface Oc. a uniformly charged sphere of radius R an infinite planar sheet having constant surface charge density Oe a cylinder of radius R and height h with charge uniformly distributed over its surface NEXT PAGE
Time left C For which of the following charge distributions would Gauss's law not be useful for calculating the electric field? a spherical shell of radius R with charge uniformly distributed over its surface O a. Ob. an infinitely long cylinder of radius R with charge uniformly distributed over its surface Oc. a uniformly charged sphere of radius R d. an infinite planar sheet having constant surface charge density Oe a cylinder of radius R and height h with charge uniformly distributed over its surface NEXT PAGE
Two very long solid cylindrical conductors of radius s run parallel with each other (on the same plane), with a separation of 2d (d>s) from their axes. What is the electric field in the midpoint between them if one of the cylinders has a charge distribution A and the other has –A? а. TEod towards the negative cylinder b. TEgd' towards the positive cylinder C. Zero d. Cannot be determined
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. a. In terms of the given quantities, what is the linear charge density A? 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. y E = -f 10 + +
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?
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 The lines show the equipotential contours in the plane of three point charges, Q1, Q2, and Q3. The values of the potentials are in kV as indicated for the +5, 0, and -5 kV contours. The positions of the charges are indicated by the dots. cm 1 Q₁. Volts 2 +5 Q3 The letters are on the equipotential contours. Q₂ # m
Consider a wire made of a good conductor with a length, L, radius, R, and a total charge of +Q. a. What assumptions can be made about area if the wire is very long? ? >> ? (Hint: recall surface area of a cylinder) b. Calculate the Electric Field at the surface of the conducting wire. Convert the final answer to units of “k”. Is this the same as the Electric Field of a point charge or a conducting sphere? Distance (r) Electric Field Strength (E) c. Calculate the Electric Flux at the surface of the wire. How does the Electric Flux of the wire compare the Electric Flux of the sphere? Why? d. Calculate the Electric Field strength at a distance, a (such that a > 0) away from the conducting wire. e. Calculate the Electric Flux at a distance, a (such that a > 0) How does the Electric Flux compare to the Electric Flux calculated in part c? f. What should be the Electric Field inside the wire?
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The electric field strength at the surface of a flat negative electrode in 20° C salt water is 20 kV/m The field strength is 10 kV/m at a distance of 2.0 nm from the surface. Part A What is the electrode's surface charge density in nC/cm²? Express your answer in nanocoulombs per square centimeter. VAX 77- Submit Part B Bequest Answer co= ? What is the molarity of the salt solution? Assume the salt is NaCl Express your answer in terms of molarity. 195] ΑΣΦ nC/cm³ 2 M
A. What can you say about the magnitude and direction of the electric field between the two parallel plates? Why do you say that? What about the electric field behind each plate? Why do you say that? B. Calculate the magnitude of the electric field between the two plates. Show your work. What is the value of the magnitude of the electric field behind each plate?
(a) Linearize the graph. If necessary, compute different powers of variables and plot until you get a straight line. (b) Determine the equation of the line obtained. Indicate the value of n, k, and other constants or intercepts present in the graph. a.) The data below shows how the electric field (E) due to a point charge varies with distance (r). Distance, r (m) Electric Field, È (N/C) 102 25 1.25 2.50 3.75 | 5.00 | 6.25 7.50 8.75 15 9 3 10 11.25 1.15 1.08 1.005 0.6 0:.) The following values represent a particle with an x-coordinate that varies in time. Time, t (s) Distance, x (m) 3 65 1 4 5 6 7 200 195 160 -120 -425 -880 | -1515