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

For the circuit shown in figure. The Norton equivalent source current value is _________ A and its resistance is _________ Ohms

\(I_N = 4A \ and \ R_N = 4.5\Omega\)

\(I_{N} = 2A \ and \ R_{N} = 5.5\Omega\)

\(I_N = 2A \ and \ R_N = 4.5\Omega\)

\(I_N = 1A \ and \ R_N = 4.5\Omega\)

Explanation:

For : open circuiting the current source and short circuiting the voltage source. The circuit then is shown below,

35.jpg

To determine IN short circuit the terminals AB and apply source transformation we get the circuit as shown below.

36.jpg

Applying KVL in loop 1

                --------------(1)

Applying KVL in loop 2

                --------------(2)

Solving equation 1 & 2

Hence,  and

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