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Q#1 Network Theorems (DC Circuits) GATE EE 1997 MCQ +2 marks -0.66 marks

Find the Thevenin equivalent about AB for the circuit shown in figure

\(\ V_{th}=4A   \ and \  R_{th}=4.5Ω\)

\(\ V_{th}=10A \ and \ R_{th}=4.5Ω\)

\(\ V_{th}=5A \ and \  R_{th}=4.22Ω\)

\(\ V_{th}=10A \  and  \ R_{th}=4.22Ω\)

Explanation:

To determine the Thevenin Equivalent open circuit the terminals A and B.

41.jpg

Due to open circuit, current in 4Ω resistor is 0A.

Using KVL

                        -------------(1)

Applying KCL

                        -------------(2)

Solving equation 1 & 2

 and

For :Applying 1 volts source across terminals AB, and short circuiting independent voltage source.

42.jpg

Applying KCL

 and

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