  We present a quantum calculation based on scattering theory of the frequency
dependent noise of current in an interacting chaotic cavity. We include
interactions of the electron system via long range Coulomb forces between the
conductor and a gate with capacitance $C$. We obtain explicit results
exhibiting the two time scales of the problem, the cavity's dwell time $\tau_D$
and the $RC$-time $\tau_C$ of the cavity {\em vis \`a vis} the gate. The noise
shows peculiarities at frequencies of the order and exceeding the inverse
charge relaxation time $\tau^{-1} = \tau^{-1}_D+\tau^{-1}_C $.
