Explain how one ‘observes an inconsistency’ when Ampere’s circuital law is applied to the process of charging a capacitor.
How this ‘contradiction’ gets removed by introducing the concept of an ‘additional current’, known as the ‘displacement current’?

ampere law is valid only when there is steady flow of current.. or electrostatic flux through a closed surface remains conserved.but at the the time of charging or discharging the flux does not remain conserved or there is no steady state.so ampere law fails there. when displacement current is also considered then the flux remains conserved or we get steady state condition.....thats all