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In Fig. 22-67, an electric dipole swings from an initial orientation i(i=20.0) to a final orientation f(f=20.0) in a uniform external electric field E. The electric dipole moment is1.601027C.m; the field magnitude is3.00106N/C. What is the change in the dipole鈥檚 potential energy?

Short Answer

Expert verified

The change in the dipole鈥檚 potential energy is.3.28x1021J

Step by step solution

01

The given data

a) Initial orientation of the electric dipole i,i=20.00

b) Final orientation of the electric dipole f, f=20.0o

c) Strength of the uniform external electric field E=3.00x106N/C.

d) The electric dipole moment, p=1.60x1027C.m

02

Understanding the concept of the electric dipole

Using the concept of an electric dipole, we can get the potential energy of the dipole. This determines the change in the potential energy of the system.

Formula:

Potential Energy of an Electric Dipole is given by:U=p.E=pEcos (i)

Where,

pand Eare the dipole moment and Electric field

03

Calculation of the change in the potential energy

From the given data and the figure, we know that the initial and final angles of orientation i=70.00aref=110.0o, we can get the change of the potential energy using equation (i) as follows:

U=pE(cos70.0cos110)=(1.60x1027C.m)(3.00x106N/C)(0.684)=3.28x1021J

Hence, the value of the potential energy is.3.28x1021J

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