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Chapter 22: Q. 76 (page 628)

The force on the -1.0nCcharge is as shown inFIGURE CP22.76.What is the magnitude of this force?

Short Answer

Expert verified

The strength of the electric field is1.44脳10-3N/Cin the direction of the electron.

Step by step solution

01

Given information

The distance of the field point from the electron is1.0mm.

02

Explanation

In the present case,. the source charge is qelectron.

role="math" localid="1648483904923" E鈫�=14蟺蔚0qr2r^鈥�鈥�1q=-1.6脳10-19Cr=1脳10-3mE鈫�=9脳109脳1.6脳10-1910-32directionistowardstheelectronE鈫�=1.44脳10-3N/Ctowardstheelectron

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Most popular questions from this chapter

You sometimes create a spark when you touch a doorknob after shuffling your feet on a carpet. Why? The air always has a few free electrons that have been kicked out of atoms by cosmic rays. If an electric field is present, a free electron is accelerated until it collides with an air molecule. Most such collisions are elastic, so the electron collides, accelerates, collides, accelerates, and so on, gradually gaining speed. But if the electron鈥檚 kinetic energy just before a collision is 2.0脳10-18Jor more, it has sufficient energy to kick an electron out of the molecule it hits. Where there was one free electron, now there are two! Each of these can then accelerate, hit a molecule, and kick out another electron. Then there will be four free electrons. In other words, as FIGURE P22.61 shows, a sufficiently strong electric field causes a 鈥渃hain reaction鈥� of electron production. This is called a breakdown of the air. The current of moving electrons is what gives you the shock, and a spark is generated when the electrons recombine with the positive ions and give off excess energy as a burst of light.

  1. The average distance between ionizing collisions is 2.0渭m. (The electron鈥檚 mean free path is less than this, but most collisions are elastic collisions in which the electron bounces with no loss of energy.) What acceleration must an electron have to gain of kinetic energy in this distance?
  2. What force must act on an electron to give it the acceleration found in part a?
  3. What strength electric field will exert this much force on an electron? This is the breakdown field strength. Note: The measured breakdown field strength is a little less than your calculated value because our model of the process is a bit too simple. Even so, your calculated value is close.
  4. Suppose a free electron in air is 1.0 cm away from a point charge. What minimum charge is needed to cause a breakdown and create a spark as the electron moves toward the point charge?

A+2.0nCcharge is at the origin and a-4.0nCcharge is atx=1.0cm.

a. At whatx-coordinate could you place a proton so that it would experience no net force?

b. Would the net force be zero for an electron placed at the same position? Explain.

A 鈥�12nCcharge is located at 1x,y2=11.0cm,0cm2.What are the electric fields at the position 1x,y2=15.0cm,0cm2,1-5.0cm,0cm2,and10cm,5.0cm2? Write each electric field vector in component form.

FIGURE P22.51shows four charges at the corners of a square of side L. What is the magnitude of the net force onq?

A small glass bead has been charged to +20 nC. A small metal ball bearing 1.0 cm above the bead feels a 0.018 N downward electric force. What is the charge on the ball bearing?
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