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Induction motor comprised inductor as the most part in it and an inductor has the characteristic to oppose the change of current, i.e., it has lagging power factor as current lags behind the voltage. Hence, an induction motor works on lagging power factor.
A capacitor does not and cannot work as a 'power saver' or, more-accurately, 'energy saver'.However, a capacitor can be used to reduce the power factor of a load. Reducing power factor, though, has absolutely no effect whatsoever on the amount of energy consumed by that load and will not reduce the energy bill for a residential consumer such as you or me.What reducing power factor does is to reduce the load current which, in turn, will reduce the amount of copper that must be provided by the utility company, in terms of its cables and transformers. So power factor 'improvement' can save the utility company money, by allowing it to use smaller cables and transformers to supply any given load.
A transformer is a static device which converts electrical energy from one circuit to another circuit without changing frequency, power, power factor. It works on the principle of faradays laws of electro magnetic induction.
Power supplies don't fail. Idiot.
I am currently making a robot and first you need a designs then you get the brain which will control the robot, the brain is programmed in C. Then you get the controller and program all the outputs and servos, and hope it works.