The picture below includes a physical model of an electric dipole that consists

Question

The picture below includes a physical model of an electric dipole that consists of two equal and opposite charges q = 675 × 10 9 C. These two charges have a fixed separation of d = 2 85 × 10-6 m. The dipole is immersed in a uniform external electric field E-3200 N/CL25·The orientation of the dipole is as shown in the diagram 1. Write a symbolic formula for the magnitude of the dipole's electric dipole moment in terms of the information given above. (Be sure to use the conventional symbol for electrie dipole moment in your expression.,) 2. Caleulate the magnitude of this dipole's electrie dipole moment. Give a numerical answer in decimal orm with correct unit. . Fill the box on the left with a field lines map of the electrie field produced by the dipole for the orientation shown above. In the box on the right draw a single arrow in the center of the box to represent the dipole's electrie dipole moment veetor for the orientation shown above. Write a symbolic formula for the vector torque on a dipole in a uniform electric field . Caleulate a numerical value in decimal form for the vector torque on the dipole shown in the diagram Put the vector in oomponent form with correet unit.

Explanation / Answer

1.

The electric dipole moment is given by

u =magnitude of charge* distance between the two charges =q*d C.m

2.

Now the magnitude of electric dipole moment is given by

u =q*d =(6.75*10-9C)(2.85*10-6m)=1.923*10-14C.m

3.

The electric dipole moment directs towards the positive charge

4.

Torque T =dqEsintheta

5.

Then torque is given by T=(1.923*10-14C.m)(3200)(sin25)

=2600*10-14N.m

=2.6*10-11N.m

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