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Chapter 15: Q10Q (page 616)

The rod in Figure 15.49 carries a uniformly distributed positive charge. Which arrow (a鈥揾) best represents the direction of the electric field at the observation location marked with a red X?

Short Answer

Expert verified

Arrow hbest represents the direction of electric field at X.

Step by step solution

01

Given data

A rod with uniformly distributed positive charge.

02

Step 2:Electric field direction

Electric field from a positive charge distribution is directed away from the distribution.

03

Step 3:Determination ofthe direction of the field at the marked point

  • The rod can be divided into several small sections. Fields from sections to the left of point X will have two components, one pointed up and one pointed right. Similarly, fields from sections to the right of point X will have two components, one pointed up and one pointed left.
  • The net field will be the vector sum of all these fields. The upward components will all add up. The net horizontal component of the field can be obtained by subtracting the right components from the left.
  • Since the X mark is a bit shifted towards the left from the center, the sum of left components will be larger. The net field at X will thus have an upward component and a left component. This can be best represented by arrow h.

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Most popular questions from this chapter

Consider setting up an integral to find an algebraic expression for the electric field of a uniformly charged rod of length L , at a location on the midplane. If we choose an origin at the center of the rod, what are the limits of integration?

In Figure 15.61 are two uniformly charged disks of radius R that are very close to each other (gap鈮猂). The disk on the left has a charge of鈭�Qleftand the disk on the right has a charge of +Qright(Qrightis greater thanQleft). A uniformly charged thin rod of length L lies at the edge of the disks, parallel to the axis of the disks and cantered on the gap. The rod has a charge of +Qrod.

(a) Calculate the magnitude and direction of the electric field at the point marked 脳 at the center of the gap region, and explain briefly, including showing the electric field on a diagram. Your results must not contain any symbols other than the given quantities R,Qleft, Qright, L, andQrod(and fundamental constants), unless you define intermediate results in terms of the given quantities. (b) If an electron is placed at the center of the gap region, what are the magnitude and direction of the electric force that acts on the electron?

By thinking about the physical situation, predict the magnitude of the electric field at the center of a uniformly charged ring of radius R carrying a charge role="math" localid="1668494008173" +Q . Then use the equation derived in the text to confirm this result.

A strip of invisible tape 0.12 mlong by 0.013 mwide is charged uniformly with a total net charge of 3nC(nano =1脳10-9) and is suspended horizontally, so it lies along the xaxis, with its center at the origin, as shown in Figure 15.55. Calculate the approximate electric field at location<0,0.03,0>m(location A) due to the strip of tape. Do this by dividing the strip into three equal sections, as shown in Figure 15.55, and approximating each section as a point charge.

(a) What is the approximate electric field at Adue to piece 1? (b) What is the approximate electric field at Adue to piece 2? (c) What is the approximate electric field at Adue to piece 3? (d) What is the approximate net electric field at A? (e) What could you do to improve the accuracy of your calculation?

A thin plastic spherical shell of radius 5 cmhas a uniformly distributed charge of -25nCon its outer surface. A concentric thin plastic spherical shell of radius 8 cmhas a uniformly distributed charge of+64nC on its outer surface. Find the magnitude and direction of the electric field at distances of, 3 cm, 7 cm and 10 cmfrom the center. See Figure 15.63.
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