A capacitor of capacitance, C is being charged by connecting it across a DC source along with an ammeter

A capacitor of capacitance, C is being charged by connecting it across a DC source along with an ammeter. Will the ammeter show a momentary deflection during the process of charging? If so, how would you explain this momentary deflection and the resulting continuity of current in the circuit? Write the - expression for the current inside the capacitor.

Yes, the ammeter will show the momentary deflection.
This momentary deflection occurs due to the fact that the conducting current flows through connecting wires during the charging of capacitor. This leads to deposition of charge at two plates and hence, varying electric field of increasing nature is produced between the plates which in turn produces displacement current in space between two plates, which maintains the continuity with the conduction current.