1
GATE ECE 1996
Subjective
+5
-0
In the circuit shown in Fig., it is known that the variable current source I absorbs power.Find I (in magnitude and direction) so that it receives maximum power and also find the amount of power absorbed by it.
![GATE ECE 1996 Network Theory - Network Theorems Question 9 English](https://gateclass.cdn.examgoal.net/examside/questions/0c9bdd65154b75665f86632e546e4149df3852ffd9918444ef0ff7ec652b667f.jpg)
2
GATE ECE 1996
MCQ (Single Correct Answer)
+2
-0.6
The voltage VC1, VC2 and VC3 across the capacitors in the circuit in Fig., under steady state, are respectively
![GATE ECE 1996 Network Theory - Transient Response Question 36 English](https://gateclass.cdn.examgoal.net/examside/questions/e62a6fe0e1115f4646bc84fe83ce3e9342885b039d7bf33a23eb4d2e8391e40b.jpg)
3
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
The number of independent loops for a network with n nodes and b branches is
4
GATE ECE 1996
Subjective
+5
-0
Refer to the circuit shown in Fig.
Choosing the voltage vC(t) across capacitor, and the current iL(t) through the inductor as state variable,i.e.,
$$$\left[\mathrm x\left(\mathrm t\right)\right]\;=\;\begin{bmatrix}{\mathrm v}_\mathrm C\left(\mathrm t\right)\\{\mathrm i}_\mathrm L\left(\mathrm t\right)\end{bmatrix}$$$
Write the state equation in the form $$\frac{\operatorname d\left[x\left(t\right)\right]}{\operatorname dt}\;=\;\left[A\right]\left[x\left(t\right)\right]\;+\;\left[B\right]\left[u\left(t\right)\right]$$ and find [A], [B] and [u(t)].
![GATE ECE 1996 Network Theory - State Equations For Networks Question 3 English](https://gateclass.cdn.examgoal.net/examside/questions/dd6c71234dd22aa0c21107b522f4d74f80e033150778d5b96a79efdc7b303386.jpg)
Paper analysis
Total Questions
Analog Circuits
8
Communications
1
Control Systems
2
Digital Circuits
6
Electromagnetics
10
Engineering Mathematics
1
Microprocessors
2
Network Theory
9
Signals and Systems
9
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