8.A small thin plastic rod of length L lies along the x-axis from x = 0 to x = L and has acharge distribution described by the expressionλ(x)=where x is measured in meters and a > 0.a. What are the SI units of a?= axb. Determine the total charge Q on the rod.c. Determine an expression for the magnitude and direction of the electric field atpoint P, which is on the x-axis at a distance x = 2L from the origin.Extra Credit (5 pts): An infinite plane of surface charge to is placed closelyunderneath the rod. Determine an expression for the mass of the rod that willcause the rod to levitate above the plane. Your answer should include: a, L, σ, &o,and g.

Answered: Image /qna-images/answer/22ef8685-8f9c-4c42-b858-8d3daa66caa4.jpg

Answered: 8. A small thin plastic rod of length L…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter18: Electric Charge And Electric Field

Section: Chapter Questions

Problem 43PE: (a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what...

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Similar questions

A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.
(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
An electron (m = 9.109 × 10-31kg) is in the presence of a constant electric field E. The electron has a charge of e = 1.602 × 10-19 C and it accelerates at a rate of a = 2800 m/s2. A. Write an expression for the magnitude of the electric field. B. What is the field, in units of N/C? C. Assuming the electron begins at rest, what is its velocity after 1.5 s? Give your answer in meters per second.
A charged rod is placed on the x-axis between x = d and x = d + L. Its charge density is not uniform, and is given by 1 = cx, where c is a positive constant. a. What are the Sl units of c? b. Calculate the total charge of the rod (hint: Q =/dg). c. Calculate the electric field at x = 0. d. Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
5. Given a charged cylinder of +10 µC, a diameter of 1.5 cm, and a length of 10 cm, solve for the following: 10 cm 1.5 cm a. Find the electric field outside of the cylinder. b. Find the electric field inside of the cylinder.
An isolated, charged conductor is in electrostatic equilibrium. Which statement is correct? a. The net charge is never zero inside the conductor.b. The electric field is always zero just outside the conductor.c. The charge density on the conductor’s surface is greatest where the surface is sharpest. d. None of these statements are correct.
Question 3 a. The electric field intensity of a point charge can be infinite. Where does this occur and what is the physical meaning of this ? c. Explain why the electric field intensity, E is zero inside a conductor under static conditions.
Need help, please.
Where are the electric charges located on a charged conductor?Required to answer. Single choice. a. Under electrostatic condition, any excess electric charges on a conductor resides entirely on the conductor’s surface. b. Under electrostatic condition, any excess electric charges on a conductor resides entirely on the conductor’s interior.. c. Under electrostatic condition, any excess electric charges on a conductor resides in the interior and exterior part of the conductor. d. Under electrostatic condition, any excess electric charges on a conductor resides entirely outside the conductor.
q3
a. Calculate the net electric force (magnitude and direction) acting on the - 3.0 C point charge. b. Suppose you were given a +1.0 C charge to add to the arrangement of charges above. Your goal is to place the charge so that the net force on the - 3.0 C charge is zero. Where would you put the +1.0 C charge? Be specific. c. The - 3.0 MC point charge was created by either adding or removing electrons from a neutral object. Were electrons added or removed? How many electrons were added or removed? I need to draw graph and show all work

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