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In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Short Answer

Expert verified

(a) Find the Electric field strength at point Pon the rod's axis at distance rfrom the center of an infinite charge rod, with the linear charge density is2×10-7C/min 25000N/C

(b) The solution is0.144m

Step by step solution

01

Given information and formula used

Given :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Theory used :

TheElectric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.

02

Writing a realistic problem and finding the solution of the problem 

(a) Realistic problem :

On an infinite charge rod, let the linear charge density is 2×10-7C/m.

In 25000N/C, find the electric field strength at point Pon the rod's axis at distance rfrom the center.

(b) Solution :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/Cr=(9.0×109Nm2/C2)2(2.0×10-7C/m)25000N/C=0.144m

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Most popular questions from this chapter

A plastic rod with linear charge density λis bent into the quarter circle shown in FIGURE. We want to find the electric field at the origin.

a. Write expressions for the x- and y-components of the electric field at the origin due to a small piece of charge at angle θ.

b. Write, but do not evaluate, definite integrals for the x- and y-components of the net electric field at the origin.

c. Evaluate the integrals and write Enetin component form

FIGURE Q23.6shows a hollow soda straw that has been uniformly charged with a positive charge. What is the electric field at the center (inside) of the straw? Explain.

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a. What is the electric field strength between the disks?

b. A proton is shot from the negative disk toward the positive disk. What launch speed must the proton have to just barely reach the positive disk?

Your physics assignment is to figure out a way to use electricity to launch a small 6.0-cm-long plastic drink stirrer. You decide that you’ll charge the little plastic rod by rubbing it with fur, then hold it near a long, charged wire, as shown in FIGURE P23.56. When you let go, the electric force of the wire on the plastic rod will shoot it away. Suppose you can uniformly charge the plastic stirrer to 10nCand that the linear charge density of the long wire is 1.0×10-7C/m. What is the net electric force on the plastic stirrer if the end closest to the wire is 2.0cmaway?

Hint: The stirrer cannot be modeled as a point charge; an integration is required.

FIGURE shows a thin rod of length Lwith total charge Q. Find an expression for the electric fieldE at point P. Give your answer in component form.

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