Rage was violent uncontrollable anger.
An emotional amplifier uncovered by Torchwood Three amplified anger into rage - so much so that Gwen Cooper feared she could have killed Rhys Williams. (PROSE: Slow Decay)
After the Monk invasion, the Twelfth Doctor needed to know if his companion, Bill Potts, was under the control of the Monks, and deceived her into shooting him in a rage to see if she had succumbed to the mind control, secretly putting blanks in all the guns, and faking his regeneration to complete the illusion. (TV: The Lie of the Land)