High-precision microwave measurements have recently been carried out o
n superconducting Nb samples. A BCS-like coherence peak has been obser
ved below T(c). We find that a strong-coupling calculation of the micr
owave conductivity, using electron-phonon spectral functions obtained
from tunneling measurements, is unable to account for the height of th
e peak. We also explain how, for microwave measurements at lower frequ
ency, the height of the coherence peak can be used to provide informat
ion about the low-frequency part of the electron-phonon spectral funct
ion and the associated inelastic scattering rate.