(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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