(a) Which of the diagrams () in Figure correctly displays the polarization of a metal sphere by an electric field that points to the left, using the conventions discussed in this chapter? (b) Which of the diagrams () in Figurecorrectly displays the polarization of a plastic sphere by an electric field that points to the left, using the conventions discussed in this chapter?

Short Answer

Expert verified

(a) Diagram A correctly displays the polarization of a metal sphere

(b) Diagram B correctly displays the polarization of a plastic sphere

Step by step solution

01

Significance of the electric field and Polarization

The electric field is referred to as a region that is beneficial for a charged particle to exert force on another electrically charged particle.

Polarization is described as a property of electromagnetic radiation which is beneficial for relating the magnitude and the direction of the electric field in a specific manner.

02

Step 2:-(a) Determination of the polarization of a metal sphere

Diagram B shows that the dipoles are distributed inside the sphere which is not true. Also, this option is incorrect as due to polarization, the positive and the negative charges should be at the surface.

Diagram C shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere. This diagram is incorrect as due to polarization; no dipole should be inside the sphere.

Diagram D shows that negative and positive charges are uniformly distributed over the surface of the spheres. This option is incorrect as the electric field points to the left, then the negative charges should be left of that sphere.

Diagram E shows that the dipoles are distributed inside the sphere which is not true. This option is incorrect as due to polarization, the positive and the negative charges should be at the surface.

The diagram F shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere after one another. This diagram is incorrect as due to polarization; no dipole should be inside the sphere.

Diagram A shows that the positive and the negative charges are uniformly distributed over the surface of the sphere. This option is correct as ofthe sea of the electrons mainly shifts in the opposite direction of the electric field and the electric field points to the left of the sphere, so the negative charges will be at the left and the positive charges will be at the right of the sphere.

Thus, diagram A correctly displays the polarization of a metal sphere.

03

Step 3:-(b) Determination of the polarization of a plastic sphere

Diagram A shows that the positive and the negative charges are uniformly distributed over the surface of the sphere. This option is incorrect as due to the polarization of the plastic sphere; dipoles are being induced by the electric field inside the neutral atoms in the plastic.

Diagram C shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere. This option is incorrect as due to the polarization of the plastic spheres; no charges should be at the surface of the plastic sphere.

Diagram D shows that negative and positive charges are uniformly distributed over the surface of the spheres. This option is incorrect as due to the polarization of the plastic sphere; dipoles are being induced by the electric field inside the neutral atoms in the plastic.

Diagram E shows that the dipoles are distributed inside the sphere. This option is incorrect because the electrons should be at the left of the sphere after the positive charges inside the dipole as the electric field points towards the left.

Diagram F shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere after one another. This option is incorrect as due to the polarization of the plastic spheres; no charges should be at the surface of the plastic sphere.

Diagram B shows that the dipoles are distributed inside the sphere. This option is correct asdue to the polarization of the plastic sphere; dipoles are being induced by the electric field inside the neutral atoms in the plastic. As the electric field points to the left, then the electrons should point towards the left inside the sphere and in this diagram, the electrons are pointing to the left.

Thus, diagram B correctly displays the polarization of a plastic sphere.

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Most popular questions from this chapter

A large positive charge pulls on a distant electron. How does the net force on the electron change if a slab of glass is inserted between the large positive charge and the electron? Does the net force get bigger, smaller, or stay the same? Explain, using only labeled diagrams. (Be sure to show all the forces on the electron before determining the net force on the electron, not just the force exerted by the large positive charge. Remember that the part of the net force on the electron contributed by the large positive charge does not change when the glass is inserted: the electric interaction extends through matter.)

A metal ball with diameter of a half a centimeter and hanging from an insulating thread is charged up with 1×1010excess electrons. An initially uncharged identical metal ball hanging from an insulating thread is brought in contact with the first ball, then moved away, and they hang so that the distance between their centers is 20cm.

(a) Calculate the electric force one ball exerts on the other, and state whether it is attractive or repulsive. If you have to make any simplifying assumptions, state them explicitly and justify them.

(b) Now the balls are moved so that as they hang, the distance between their centers is only 5cm. Naively one would expect the force that one ball exerts on the other to increase by a factor of 42=16, but in real life the increase is a bit less than a factor of role="math" localid="1661330186132" 16. Explain why, including a diagram. (Nothing but the distance between centers is changed—the charge on each ball is unchanged, and no other objects are around.)

Which of the following could be reasonable explanations for how a piece of invisible tape gets charged? Select all that apply. (1) Protons are pulled out of nuclei in one tape and transferred to another tape. (2) Charged molecular fragments are broken off one tape and transferred to another. (3) Electrons are pulled out of molecules in one tape and transferred to another tape. (4) Neutrons are pulled out of nuclei in one tape and transferred to another tape.

Which of the following are true? Check all that apply. (1) If the net electric field at a particular location inside a piece of metal is zero, the metal is not in equilibrium. (2) The net electric field inside a block of metal is zero under all circumstances. (3) The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium. (4) The electric field from an external charge cannot penetrate to the center of a block of iron. (5) In equilibrium, there is a net flow of mobile charged particles inside a conductor.

A positive charge is located between a neutral block of plastic and a neutral block of copper (Figure 14.68). Draw the approximate charge distribution for this situation.

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