  The $g$-factor and static quadrupole moment of the nuclides $^{135}$Pr,
$^{105}$Pd, and $^{187}$Au in the wobbling motion are investigated in the
particle-rotor model as functions of the total spin $I$. The $g$-factor of
$^{105}\mathrm{Pd}$ increases with increasing $I$, due to the negative
gyromagnetic ratio of a neutron valence-neutron. This behavior is in contrast
to the decreasing $g$-factor of the other two nuclides, $^{135}$Pr and
$^{187}$Au, which feature a valence-proton. The static quadrupole moment $Q$
depends on all three expectation values of the total angular momentum. It is
smaller in the yrast band than in the wobbling band for the transverse wobblers
$^{135}$Pr and $^{105}$Pd, while larger for the longitudinal wobbler
$^{187}$Au.
