Consider Figure 13.59. Assume that the dipole is fixed in position. (a) What is the direction of the electric field at location A due to the dipole? (b) At location B? (c) If an electron were placed at location A, in which direction would it begin to move? (d) If a proton were placed at location B, in which direction would it begin to move? (e) Now suppose that an electron is placed at location A and held there, while the dipole is free to move. When the dipole is released, in what direction will it begin to move?

Short Answer

Expert verified

(a) The direction of the electric field at location A due to the dipole is at the opposite direction of the dipole.

(b) Thedirection of the electric field at location A due to the dipole is at the same direction of the dipole.

(c) Theelectron will move towards the direction of the dipole.

(d) Theproton will move towards the direction of the dipole.

(e) Thedipole will move towards the direction of the electron which is at the location A.

Step by step solution

01

Significance of the direction of an electric field due to a dipole

The electric field is mainly described as a region that is helpful for an electrically charged particle to exert force on another particle. The direction of the electric field at a point due to a particular dipole will be in the direction of the dipole if the point is situated radially to the dipole and the direction of the electric field will be opposite if the point is situated perpendicular to the dipole.

02

(a) Determination of the direction of the electric field at location A

From the above figure, it has been observed that location A is situated perpendicular to the dipole. Hence, the direction of the electric field will be opposite of the point.

Thus, the direction of the electric field at location A due to the dipole is at the opposite direction of the dipole.

03

(b) Determination of the direction of the electric field at location B

From the above figure, it has been observed that location B is situated radially to the dipole. Hence, the direction of the electric field will be same of the dipole of the point.

Thus, the direction of the electric field at location B due to the dipole is at the same direction of the dipole.

04

 Step 4: (c) Determination of the movement of the electron

If an electron is being placed at location A, then the electron will move towards the positive charge of the dipole. The reason the electron will move towards the positive charge is that due to the law of attraction, the negatively charged electron will get attracted towards the positive charge.

Thus, the electron will move towards the direction of the dipole

05

(d) Determination of the movement of the proton

If a proton is being placed at location B, then the proton will move towards the negative charge of the dipole. The reason the proton will move towards the positive charge is that due to the law of attraction, the positively charged proton will get attracted towards the negative charge.

Thus, the proton will move towards the direction of the dipole.

06

(e) Determination of the movement of the dipole

If an electron is being placed at location A and held there, then the positive charge of the dipole will move towards the electron that is negatively charged. The reason the dipole will move towards the electron is that due to the law of attraction, the negatively charged electron will get attracted towards the positive charge, the point of the dipole.

Thus, the dipole will move towards the direction of the electron which is at location A.

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Most popular questions from this chapter

We found that the force exerted on a distant charged objectby a dipole is given byFonQbydipoleQ(14πε02qsr3) . In this equation, what is the meaning of the symbols q, Q, s, and r?

A sphere with radius 2cm is placed at a location near a point charge. The sphere has a charge of -9×10-10C spread uniformly over its surface. The electric field due to the point charge has a magnitude of 470N/C at the center of the sphere. What is the magnitude of the force on the sphere due to the point charge?

A dipole is located at the origin, and is composed of charged particles with charge +e and -e, separated by a distance 2x10-10 along the axis. (a) Calculate the magnitude of the electric field due to this dipole at location <0,2×10-8,0>m. (b) Calculate the magnitude of the electric field due to this dipole at location <2×10-8,0,0>m.

Two identical permanent dipoles, each consisting of charges +qand -qseparated by a distance s, are aligned along the xaxis, a distance rfrom each other, wherers(Figure 13.75). Show all of the steps in your work, and briefly explain each step. (a) Draw a diagram showing all individual forces acting on each particle, and draw heavier vectors showing the net force on each dipole. (b) Show that the magnitude of the net force exerted on one dipole by the other dipole is this:

F14πε06q2s2r4

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