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Q1 MCQ GATE EE Medium 2 Marks 2026

ANALOG ELECTRONICS → OPERATIONAL AMPLIFIERS

In the circuit shown, the open loop gain of the operational amplifier is $A_{0}=105$. $R_{in}=\infty\Omega$, $R_{out}=0~\Omega$. Input resistance is 5 kΩ and feedback resistance is 100 kΩ. What is the voltage gain of the circuit? (Round off to two decimal places)

Choose One:

A) -16.67

B) -20.00

C) -21.00

D) -12.67

Correct Answer:
Explanation:

Q2 NAT GATE EE Medium 1 Mark 2026

ANALOG ELECTRONICS → MISCELLANEOUS

In the linear regulator circuit shown, the base to emitter voltage $V_{BE}$ Of the BJT is 0.6 V. The Zener diode clamps the base voltage to 5.4 V. Ignore the biasing current of the Zener diode and BJT. The maximum possible efficiency of the regulator circuit is % (Round off to one decimal place)

Enter Numerical Answer:

Correct Answer:
Explanation:

Q3 MCQ GATE EE Easy 1 Mark 2026

CONTROL SYSTEMS → FREQUENCY RESPONSE ANALYSIS

The asymptotic Bode magnitude plot of a system is shown. [Plot shows 0 dB line up to $\omega_0$, then a -20 dB/decade slope]. Which one of the following options best represents the transfer function of the system?

Choose One:

A) $G(s)=\frac{1}{1+\frac{s}{\omega_{0}}}$

B) $G(s)=\frac{\frac{s}{\omega_{0}}}{1+\frac{s}{\omega_{0}}}$

C) $G(s)=\frac{1+\frac{s}{\omega_{0}}}{1-\frac{s}{\omega_{0}}}$

D) $G(s)=\frac{1-\frac{s}{\omega_{0}}}{1+\frac{s}{\omega_{0}}}$

Correct Answer:
Explanation:

Q4 MCQ GATE EE Medium 2 Marks 2026

CONTROL SYSTEMS → STATE VARIABLE ANALYSIS

A system is characterized by the following state equation and output equation (U: input, X: state vector, y: output)
$\dot{x}=[\begin{matrix}a&b\\ -a&0\end{matrix}]x+[\begin{matrix}1\\ 0\end{matrix}]u$
$y=[\begin{matrix}1&2\end{matrix}]x$
What are the values of a and b for which the poles of the transfer function are at $-2+j3$ and $-2-j3$?

Choose One:

A) $a=4$, $b=3.25$

B) $a=-4$, $b=3.25$

C) $a=4$ $b=-3.25$

D) $a=-4$, $b=-3.25$

Correct Answer:
Explanation:

Q5 MCQ GATE EE Hard 2 Marks 2026

CONTROL SYSTEMS → STATE VARIABLE ANALYSIS

A system is represented in state-space form as follows: (u: input, X: state vector, y: output) $\dot{x}=[\begin{matrix}1&2\\ -3&0\end{matrix}]x+[\begin{matrix}1\\ 2\end{matrix}]u$ $y=[\begin{matrix}1&2\end{matrix}]x$ Consider the new state vector $z=[\begin{matrix}2&1\\ -1&0\end{matrix}]x$ What is the state-space representation of the system in terms of the new state vector z?

Choose One:

A) $\dot{z}=[\begin{matrix}-1&4\\ -1&-2\end{matrix}]z+[\begin{matrix}4\\ -1\end{matrix}]u$ $y=[\begin{matrix}2&3\end{matrix}]z$

B) $\dot{z}=[\begin{matrix}2&3\\ 0&3\end{matrix}]z+[\begin{matrix}3\\ 5\end{matrix}]u$ $y=[\begin{matrix}2&3\end{matrix}]z$

C) $\dot{z}=[\begin{matrix}4&9\\ -2&-3\end{matrix}]z+[\begin{matrix}4\\ -1\end{matrix}]u$ $y=[\begin{matrix}2&3\end{matrix}]z$

D) $\dot{z}=[\begin{matrix}2&1\\ -4&1\end{matrix}]z+[\begin{matrix}4\\ -1\end{matrix}]u$ $y=[\begin{matrix}4&-1\end{matrix}]z$

Correct Answer:
Explanation:

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