1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6

The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

GATE ECE 2003 Network Theory - Transient Response Question 32 English

I1(s) and I2(s) are the Laplace transforms of i1(t) and i2(t) respectively. The equations for the loop currents I1(s) and I2(s) for the circuit shown in figure, after the switch is brought from position 1 to position 2 at t = 0, are

A
GATE ECE 2003 Network Theory - Transient Response Question 32 English Option 1
B
GATE ECE 2003 Network Theory - Transient Response Question 32 English Option 2
C
GATE ECE 2003 Network Theory - Transient Response Question 32 English Option 3
D
GATE ECE 2003 Network Theory - Transient Response Question 32 English Option 4
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 34 English
A
80 V, 32 V, 48 V
B
80 V, 48 V, 32 V
C
20 V, 8V, 12 V
D
20 V, 12 V, 8 V
3
GATE ECE 1992
MCQ (Single Correct Answer)
+2
-0.6

For the compensated attenuator of figure, the impulse response under the condition $$R_1C_1\;=\;R_2C_2$$ is:

GATE ECE 1992 Network Theory - Transient Response Question 35 English
A
$$\frac{{\mathrm R}_2}{{\mathrm R}_1\;+\;{\mathrm R}_2}\left[1\;-\;\mathrm e^\frac1{{\mathrm R}_1{\mathrm C}_1}\right]\mathrm u\left(\mathrm t\right)$$
B
$$\frac{{\mathrm R}_2}{{\mathrm R}_1\;+\;{\mathrm R}_2}\mathrm\delta\left(\mathrm t\right)$$
C
$$\frac{{\mathrm R}_2}{{\mathrm R}_1\;+\;{\mathrm R}_2}\mathrm u\left(\mathrm t\right)$$
D
$$\frac{{\mathrm R}_2}{{\mathrm R}_1\;+\;{\mathrm R}_2}\mathrm e^\frac1{{\mathrm R}_1{\mathrm C}_1}\mathrm u\left(\mathrm t\right)$$
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6

If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s^2\;+\;s\;+\;1}$$ , the value of the current through the capacitor at t = 0+ is

A
0 A
B
2 A
C
$$\frac12\;\mathrm A$$
D
1 A
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