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What is the net electric force on charge Ain FIGURE?

Short Answer

Expert verified

The net electric force on chargeAis0N

Step by step solution

01

Formula of Force

I suggest drawing and labelling what's stated within the problem, then calculating the force on Afrom B(FBA) and therefore the force on Afrom C(FCA).

To compute the forces on Afrom each of the purpose charges, we use F=kq1q2r2. k=9109Nm2C2is an vital note to stay in mind.

02

Forces on A,B and C

We start by calculating the forces that Bhas on a. Because Ais positive and Bis negative, they're going to be interested to one other, and also the net force on Aare going to be the proper.

FBA=k110-9C110-9C(0.01m)2=910-5N

Since both Aand Care positive, they repel one other, we must now determine the force Cexerts on A. This means that C's net force is to the left.

FCA=k410-9C110-9C(0.02m)2=910-5N

03

Find the total force

Now that we all know the magnitudes of both point charges' forces, we are able to simply add them together to see the overall force. It seems to be 0as a matter of fact.

Fnet=FCA-FBA=0N

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Most popular questions from this chapter

Metal sphere Ain FIGURE has 4units of negative charge and metal sphere Bhas 2units of positive charge. The two spheres are brought into contact. What is the final charge state of each sphere? Explain.

Four lightweight balls A,B,C,andDare suspended by threads. Ball Ahas been touched by a plastic rod that was rubbed with wool. When the balls are brought close together, without touching, the following observations are made:

鈥 Balls B,C,andDare attracted to ball A.

鈥 Balls BandDhave no effect on each other.

鈥 Ball Bis attracted to ball C.

What are the charge states (glass, plastic, or neutral) of balls A,B,C,andD? Explain.

A 0.10ghoneybee acquires a charge of +23pCwhile flying.

a. The earth鈥檚 electric field near the surface is typically (100N/C, downward). What is the ratio of the electric force on the bee to the bee鈥檚 weight?

b. What electric field (strength and direction) would allow the bee to hang suspended in the air?

You have two small, 2.0gballs that have been given equal but opposite charges, but you don't know the magnitude of the charge. To find out, you place the balls distance dapart on a slippery horizontal surface, release them, and use a motion detector to measure the initial acceleration of one of the balls toward the other. After repeating this for several different separation distances, your data are as follows:

Use an appropriate graph of the data to determine the magnitude of the charge.

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 2.010-18Jor 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 2.0m. (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?

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