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Q#1 Network Theorems (DC Circuits) GATE EE 1996 MCQ +1 mark -0.33 marks

The V-I characteristic as seen from the terminal- pair (A, B) of the network of figure is shown in figure. If an inductance of value 6mH is connected across the terminal-pair (A, B), the time constant of the system will be

D:\Vol-2\NT-04.jpg                D:\1Mayu\Gate-9\JPG\JPG\1996\1996\Q 1_9_2.JPG

Unknown, unless the actual network is specified

Explanation:

32.jpg

From the V-I characteristics when terminals

are short circuited V = 0        

At this time

when A & B terminals are open, i.e. I = 0

Under this condition .

Thevenin resistance of the network

=

After connecting inductor across the Thevenin equivalent the circuit is shown below,

33.jpg

Time constant of the RL circuit =

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