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Chapter 15: Q10Q (page 616)

The rod in Figure 15.49 carries a uniformly distributed positive charge. Which arrow (a–h) 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

In Figure 15.61 are two uniformly charged disks of radius R that are very close to each other (gap≪R). The disk on the left has a charge of−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 × 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?

Consider a capacitor made of two rectangular metal plates of length L and width W, with a very small gap s between the plates. There is a charge +Qon one plate and a charge −Qon the other. Assume that the electric field is nearly uniform throughout the gap region and negligibly small outside. Calculate the attractive force that one plate exerts on the other. Remember that one of the plates doesn’t exert a net force on itself

Suppose that the radius of a disk is 21 cm, and the total charge distributed uniformly all over the disk is 5×10-6C. (a) Use the exact result to calculate the electric field 1 mm from the center of the disk. (b) Use the exact result to calculate the electric field 3 mm from the center of the disk. (c) Does the field decrease significantly?

Two rings of radius 5cmare 20cmapart and concentric with a common horizontal axis. The ring on the left carries a uniformly distributed charge of +35nC, and the ring on the right carries a uniformly distributed charge of -35nC. (a) What are the magnitude and direction of the electric field on the axis, halfway between the two rings? (b) If a charge of-5nCwere placed midway between the rings, what would be the magnitude and direction of the force exerted on this charge by the rings? (c) What are the magnitude and direction of the electric field midway between the rings if both rings carry a charge of +35nC?

Question: A solid spherical plastic ball was rubbed with wool in such a way that it acquired a uniform negative charge all over the surface. Make a sketch showing the polarization of molecules inside the plastic ball, and explain briefly.
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