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Capacitors are usually used in power systems to corect power factor, which is a ver complex feild. However, yes capacitors are somtimes used with induction generators. When an induction motor is used as a generator, the spinning rotor has no appreaciable magnetisim and so the motor cannot generate electricity. Carefuly selected capacitors overcome the this difficulty induction machines have in generating voltage allowing them to opperate indipendently from another conventional generator.
Film capacitors cannot be replaced with ceramic or mica capacitors if used for analog signal processing. However, mica capacitors can be replaced with ceramic capacitors in general.
Mostly the leakage of capacitors is due to the resistor.
Capacitors store charge. There are many applications for their use. There is no set amount of capacitors in a circuit since it is application dependent.
Resistors, capacitors, inductors, diodes are all passive components.