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Q#1 Network Theorems (DC Circuits) GATE EE 2012 MCQ +2 marks -0.66 marks

With 10V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i)  connected at port B draws a current of 3A

(ii)  connected at port B draws a current of 2A

22.jpg

For the same network, with 6V dc connected at port A,  connected at port B draws 7/3A. If 8V dc connected to port A, the open circuit voltage at port B is

6V

7V

8V

9V

Explanation:

Representing the two port network by its Thevenin Equivalent,        

16.jpg

Case-1: 

        

                ---------(1)

Case 2: 

                ----------(2)

From 1 & 2         

From equation (1)

The Thevenin Voltage will depend on the applied voltage. Since, the network is linear.

Hence,

Case-1:

                        ----------(3)

Case-2:

                ----------(4)

Solving (3) and (4) we get,

a = 0.5 and b = 4

When 8V DC Voltage is applied,

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