1
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

The switch S$$_1$$ was closed and S$$_2$$ was open for a long time. At t = 0, switch S$$_1$$ is opened and S$$_2$$ is closed, simultaneously. The value of i$$_\mathrm{c}$$(0$$^+$$), in amperes, is

GATE ECE 2023 Network Theory - Transient Response Question 3 English

A
1
B
$$-$$1
C
0.2
D
0.8
2
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain $${{{V_{out}}} \over {{V_s}}}$$ is

GATE ECE 2023 Network Theory - Two Port Networks Question 4 English

A
h$$_{11}=0$$, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=0$$
B
h$$_{11}=$$ very high, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=0$$
C
h$$_{11}=0$$, h$$_{12}=$$ very high, h$$_{21}=$$ very high and h$$_{22}=0$$
D
h$$_{11}=0$$, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=$$ very high
3
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

The S-parameters of a two port network is given as

$$[S] = \left[ {\matrix{ {{S_{11}}} & {{S_{12}}} \cr {{S_{21}}} & {{S_{22}}} \cr } } \right]$$

with reference to $${Z_0}$$. Two lossless transmission line sections of electrical lengths $${\theta _1} = \beta {l_1}$$ and $${\theta _2} = \beta {l_2}$$ are added to the input and output ports for measurement purposes, respectively. The S-parameters $$[S']$$ of the resultant two port network is

GATE ECE 2023 Network Theory - Two Port Networks Question 3 English

A
$$\left[ {\matrix{ {{S_{11}}{e^{ - j2{\theta _1}}}} & {{S_{12}}{e^{ - j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{ - j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{ - j2{\theta _2}}}} \cr } } \right]$$
B
$$\left[ {\matrix{ {{S_{11}}{e^{j2{\theta _1}}}} & {{S_{12}}{e^{ - j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{ - j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{j2{\theta _2}}}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{S_{11}}{e^{j2{\theta _1}}}} & {{S_{12}}{e^{j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{j2{\theta _2}}}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{S_{11}}{e^{ - j2{\theta _1}}}} & {{S_{12}}{e^{j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{ - j2{\theta _2}}}} \cr } } \right]$$
4
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

Let $${w^4} = 16j$$. Which of the following cannot be a value of $$w$$?

A
$$2{e^{{{j2\pi } \over 8}}}$$
B
$$2{e^{{{j\pi } \over 8}}}$$
C
$$2{e^{{{j5\pi } \over 8}}}$$
D
$$2{e^{{{j9\pi } \over 8}}}$$
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