Intermediate Physics for Medicine and Biology offers numerous homework problems emphasizing the ability to understand how quantities depend on variables.
A new homework problem explores the energy of interaction between an electric dipole and an induced dipole in a dielectric as a function of distance r.
The energy of a dipole in an electric field is determined by U = -p · E, and the induced dipole in a dielectric is proportional to the electric field it experiences.
The energy varies with the cosine of the angle between the dipole and the electric field, and the dipole is attracted to the dielectric.
Van der Waals interactions in biology rely on energy falling as 1/r^6, influencing how biomolecules interact.
Fluorescence resonance energy transfer (FRET) uses dipole-dipole interactions for measuring distances between molecules, being sensitive due to the 1/r^6 energy decay.
FRET serves as a spectroscopic ruler, with the technique explored in Philip Nelson's book.