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The circuit shown in the figure is initially in the steady state with the switch
in open condition and
in closed condition. The switch
is closed and
is opened simultaneously at the instant
, where
. The minimum value of
in milliseconds, such that there is no transient in the voltage across the
capacitor, is (Round off to 2 decimal places).

Before t = t1 Kcs open &
is closed & circuit reaches steady state

The current of 5V dc source keeps circulating in a loop & does not affect capacitor.



at t = t1, 
after t = t1 k closed so ac current source is shorted &
is open so a series RC circuit with 5V dc source is formed.

Initial capacitor voltage 
Steady state capacitor voltage = 5V


Second term represents transient
For transient-free response



