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Chapter 15: Q16Q (page 617)

The electric field inside a capacitor is shown on the left in Figure 15.50. Which option (1鈥�5) best represents the electric field at location A?

Short Answer

Expert verified

Option (3) E=0 best represents the electric field at location A.

Step by step solution

01

Given data

A capacitor is provided.

02

Electric field of an infinite sheet

Electric field from infinite sheet of charge of charge density 蟽 is

role="math" localid="1668497576587" E鈫�=蟽2蔚0(卤n^)

Here, 蔚0 is the permittivity of free space and n^ is the unit vector perpendicular to the sheet. The plus sign is for a positive charge distribution and the negative sign is for a negative charge distribution.

03

Determination of the field outside a capacitor

A capacitor consists of positively charged plate and a negatively charged plate kept close together parallel to each other. For fields measured close to the plates, the plates behave like infinite sheets. Thus from the above equation, the net field at point A is

E鈫�=蟽2蔚0n^-蟽2蔚0n^=0

Thus, option (3) best represents the field at location A.

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Most popular questions from this chapter

Explain qualitatively how it is possible for the electric field at locations near the center of a uniformly charged disk not to vary with distance away from the disk.

If the total charge on a thin rod of length0.4mis 2.5n/C, what is the magnitude of the electric field at a location1Cmfrom the midpoint of the rod, perpendicular to the rod?

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?

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?

A disk of radius 16 cm has a total charge 4 脳 10鈭�6 C distributed uniformly all over the disk. (a) Using the exact equation, what is the electric field 1 mm from the center of the disk? (b) Using the same exact equation, find the electric field 3 mm from the center of the disk. (c) What is the percent difference between these two numbers?
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