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Q#1 Sinusoidal Steady State Analysis GATE EE 2023 NAT +2 marks -0 marks

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).

Explanation:

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

Diagram, schematic

Description automatically generated

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.

Diagram

Description automatically generated

Initial capacitor voltage

Steady state capacitor voltage = 5V

Second term represents transient

For transient-free response

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