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This paper, the second of a series on radiation-regulated accretion ontoblack holes (BHs) from galactic scales, focuses on the effects of radiationpressure and angular momentum of the accreting gas. We simulate accretion ontointermediate-mass black holes, but we derive general scaling relationships thatare solutions of the Bondi problem with radiation feedback valid for any massof the BH $M_{\rm bh}$. Thermal pressure of the ionized sphere around the BHregulates the accretion rate producing periodic and short-lived luminositybursts. We find that for ambient gas densities exceeding $n^{\rm cr}_{\rmH,\infty} \propto M_{\rm bh}^{-1}$, the period of the oscillations decreasesrapidly and the duty cycle increases from 6%, in agreement with observations ofthe fraction of active galactic nuclei at $z\sim 3$, to 50%. The mean accretionrate becomes Eddington limited for $n_{\rm H,\infty}>n_{\rm H,\infty}^{\rm Edd}\simeq n_{\rm H,\infty}^{\rm cr} T_{\infty,4}^{-1}$ where $T_{\infty,4}$ is thegas temperature in units of $10^4$ K. In the sub-Eddington regime, the meanaccretion rate onto BHs is about $1% T_{\infty,4}^{2.5}$ of the Bondi rate,thus is proportional to the thermal pressure of the ambient medium. The periodof the oscillations coincides with depletion timescale of the gas inside theionized bubble surrounding the BH. Gas depletion is dominated by a pressuregradient pushing the gas outward if $n_{\rm H,\infty}<n^{\rm cr}_{\rmH,\infty}$ and by accretion onto the BH otherwise. Generally, for $n_{\rmH,\infty}<n^{\rm cr}_{\rm H,\infty}$ angular momentum does not affectsignificantly the accretion rate and period of the oscillations.

Accretion onto Black Holes from Large Scales Regulated by Radiative Feedback. II. Growth Rate and Duty Cycle