  We investigate the effects of the electron-electron interactions on the
quantum transport through a charge Kondo circuit. The setup consists of a
quantum dot sandwiched between two leads by two nearly transparent single mode
quantum point contacts. The size of the interacting area $L$ in the Luttinger
liquid formed in the vicinities of the narrow constrictions is assumed to be
much smaller compared to the size of the quantum dot $a$. We predict that the
interplay between the electron-electron interactions in the Luttinger liquid
and the fingerprints of the non-Fermi liquid behavior in the vicinity of the
two channel Kondo intermediate coupling fixed point allows one to determine the
interaction strength through the power-law temperature scaling of the electric
conductance.
