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Chapter 25: Q. 10 (page 709)

FIGURE EX 25.10 shows the potential energy of an electric dipole. Consider a dipole that oscillates between卤60掳.

a. What is the dipole's mechanical energy?

b. What is the dipole's kinetic energy when it is aligned with the electric field?

Short Answer

Expert verified
  1. The mechanical energy of a dipole is-1J.
  2. The kinetic energy of a dipole is1J.

Step by step solution

01

Given Information

The graph of an electric dipole's potential energy is

02

Dipole mechanical energy 

(a)

The potential energy of the dipole is 2渭J, as seen in the graph at 胃=180掳.

Substitute the value in the above equation

2=-PEcos(180)PE=2渭J

Because the dipole oscillates between 卤60掳therefore at 胃=60掳it has no kinetic energy, therefore, calculate the potential energy at 胃=60掳

U=-PEcos胃

Insert the values in the above equation

U=-2cos60=-1J

Mechanical energy is calculated as follows:

ME=PE+KE

Plugging the values in the above equation

ME=-1+0=-1渭J

03

Calculate the kinetic energy of a dipole when it is aligned with an electric field.

(b)

When a dipole is aligned with an electric field, its kinetic energy is computed as

U蠒=60+K蠒=60=U蠒=0+K蠒=0

Insert the values in the above equation

-1+0=-2+K蠒=0K蠒=0=1渭J

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