1
GATE ECE 1996
Subjective
+5
-0
Refer to the circuit shown in Fig. GATE ECE 1996 Network Theory - State Equations For Networks Question 3 English 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)].
2
GATE ECE 1996
Subjective
+3
-0
In the circuit shown in Fig (a) - (c), assuming initial voltages across capacitors and current through the inductors to be zero at the time of switching (t=0), then at any time t>0.

Match each of the items of Set 1, with the appropriate item of the Set 2.

GATE ECE 1996 Network Theory - Transient Response Question 11 English

Set 2

(1) current increases monotonically with time
(2) current decreases monotonically with time
(3) current remains constant at V/R
(4) current first increases, then decreases
(5) no current can ever flow

3
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
In Fig., A1, A2 and A3 are ideal ammeters. If A2 and A3 read 3 A and 4 A respectively, then A1 should read GATE ECE 1996 Network Theory - Sinusoidal Steady State Response Question 42 English
A
$$1$$ $$A$$
B
$$5$$ $$A$$
C
$$7$$ $$A$$
D
None of the above
4
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
In the circuit of Fig., assume that the diodes are ideal and the meter is an average indicating ammeter. The ammeter will read GATE ECE 1996 Network Theory - Sinusoidal Steady State Response Question 41 English
A
$$0.4\sqrt 2 \,\,m{\rm A}$$
B
$$0.4\,\,m{\rm A}$$
C
$${{0.8} \over \pi }\,\,m{\rm A}$$
D
$${{0.4} \over \pi }\,\,m{\rm A}$$
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