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Is the following statement true or false? If true, what principle makes it true? If false, give a counterexample or say why. See Figure 14.67.

鈥淭he electric field Epointat the center of an induced dipole, due to the point charge, is equal in magnitude and opposite in direction to the electric field Edipoleat the location of the point charge, due to the induced dipole.鈥

Short Answer

Expert verified

The following statement is trueand the concept of the electric field makes it true.

Step by step solution

01

Significance of the magnitude of the electric field

The electric field is beneficial for an electrically charged particle to exert force on another particle. The electric field is directly proportional to the charge and inversely proportional to the cube of their distances.

02

Determination of the correctness of the statement

The diagram has been provided below:

From the above diagram, it has been identified that the net electric field鈥檚 concept is fulfilled as one of the electric fields has been generated in a particular direction and the other in a different direction.Hence, the direction of the EpointandEdipoleare opposite.

The equation of the electric field at the center of an induced dipole due to the point charge is expressed as follows:

Epoint=kqr3=Edipole

Here, is the electric field constant, qis the point charge andr is the distance between the Epoint, and Edipole. Hence, the statement is true and the concept of the electric field makes it true.

Thus, the following statement is trueand the concept of the electric field makes it true.

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Most popular questions from this chapter

You place a neutral block of nickel near a small glass sphere that has a charge of 210-8Cuniformly distributed over its surface, as shown in Figure 14.92.


(a) About how long do you have to wait to make sure that the mobile electron sea inside the nickel block has reached equilibrium? (1) Less than a nanosecond (110-9s), (2) Several hours, (3) About 1s, (4) About 10min(b) In equilibrium, what is the average drift speed of the mobile electrons inside the nickel block? (1) About 1105m/s, (2) About 110-5m/s, (3) 0m/s(c) In the equation v=uE, what is the meaning of the symbol u? (1) The density of mobile electrons inside the metal, in localid="1657175774793" electrons/m3, (2) The mobility of an electron inside the metal, in m/s/N/C, (3) The time it takes a block of metal to reach equilibrium, in seconds

Criticize the following statement: 鈥淎 positive charge attracts neutral plastic by polarizing the molecules and then attracting the negative side of the molecules.鈥 (鈥淐riticize鈥 means to explain why the given statement is inadequate or incorrect, as well as to correct it.)

Make a table showing the major differences in the electric properties of plastic, salt water, and copper. Include diagrams showing polarization by an external charge.

In Figure 14.84 there is a permanent dipole on the left with dipole moment 1=Qs1 and a neutral atom on the right with polarizability , so that it becomes an induced dipole with dipole moment 2=Qs2=E1, whereE1 is the magnitude of the electric field produced by the permanent dipole. Show that the force the permanent dipole exerts on the neutral atom isF(140)21212r7

You observe that a negatively charged plastic pen repels a charged piece of invisible tape. You then observe that the same piece of tape is repelled when brought near a metal sphere. You are wearing rubber-soled shoes, and you touch the metal sphere with your hand. After you touch the metal sphere, you observe that the tape is attracted to the metal sphere. Which of the following statements could be true? Check all that apply. (1) Electrons from the sphere traveled through your body into the Earth. (2) Electrons from the sphere moved into the salt water on your skin, where they reacted with sodium ions. (3) After you touched it, the metal sphere was very nearly neutral. (4) Chloride ions from the salt water on your hand moved onto the sphere. (5) The excess negative charge from the sphere spread out all over your body. (6) Electrons from your hand moved onto the sphere. (7) Sodium ions from the salt water on your hand moved onto the sphere.

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