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Figure 24-56a shows an electron moving along an electric
Chapter , Problem 52(choose chapter or problem)
Figure 24-56a shows an electron moving along an electric dipole axis toward the negative side of the dipole. The dipole is fixed in place. The electron was initially very far from the dipole, with kinetic energy 100 eV. Figure 24-56b gives the kinetic energy K of the electron versus its distance r from the dipole center. The scale of the horizontal axis is set by rs $ 0.10 m.What is the magnitude of the dipole moment?
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QUESTION:
Figure 24-56a shows an electron moving along an electric dipole axis toward the negative side of the dipole. The dipole is fixed in place. The electron was initially very far from the dipole, with kinetic energy 100 eV. Figure 24-56b gives the kinetic energy K of the electron versus its distance r from the dipole center. The scale of the horizontal axis is set by rs $ 0.10 m.What is the magnitude of the dipole moment?
ANSWER:Step 1 of 3
From the graph:
The kinetic energy of the electron decreases as it approaches the dipole. The kinetic energy of the electron is zero when . So at this position, the kinetic energy of the electron is completely converted into the potential energy of the electron.
The potential energy of the electron due to its interaction with a dipole is
where is the potential of the dipole and it is given by
Here .