the capacitor and its associated resistor set the time constant.
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teri maa ko choden dheere dheere...............
just conect gnd to the vcc
in ic 7805 their is two capacitor is used one of them is used for the settling/transient time and another is used to provide inductive effect....
there are 3 resistors of 5k each...hence the name 555
Only a 555 can replace a 555, there is no equivalent. 555s are made by many companies, each with their own prefixes and suffixes, but all are 555s.