Which of the following circuits has the same output as that of the given circuit?

Q: Which of the following circuits has the same output as that of the given circuit?

### Core Logic Let's perform Boolean analysis on the configuration steps mapped below: Factoring using distributive Boolean rules: ### Step 1: Final Reduction The expression reduces to a simple inverter (NOT gate) processing input A. This aligns with Circuit (1), matching option (1). ### Pattern Recognition Identify standard combinations: (A AND NOT B) OR (A AND B) collapses back into simply input A because operand B covers all possible states. ### Evaluation Rubric / Model Answer null ### Chapt

More Semiconductor Electronics: Materials, Devices and Simple Circuits Previous-Year Questions — Page 3

Q jee_main_2025_07_april_morning Zener Diode

In the following circuit, the reading of the ammeter will be (Take Zener breakdown voltage = 4 V)

Zener regulator circuit for Q11 - JEE Main 2025 Morning — A schematic showing a 12V supply connected to a series 100 ohm resistor, which then branches into a parallel Zener diode and a 400 ohm resistor in series with an ammeter.

A. $24mA$ $24\mathrm{mA}$
B. $80mA$ $80\mathrm{mA}$
C. $10mA$ $10\mathrm{mA}$
D. $60mA$ $60\mathrm{mA}$

Solution

Related Formula

Voltage division across load $RL$ $R_L$ with series resistance $Rₛ$ $R_s$ without Zener regulation:

VL = Vᵢₙ ( (RL)/(Rₛ + RL) )

If $VL > Vz$ $V_L > V_z$, the Zener diode enters breakdown, and potential across the parallel load is clamped at $VL = Vz$ $V_L = V_z$.

Core Logic

Verify if Zener diode operates in the breakdown region:

$Vᵢₙ = 12 ~V$ $V_{\text{in}} = 12 \mathrm{~V}$
$Rₛ = 100 Ω$ $R_s = 100 \Omega$
$RL = 400 Ω$ $R_L = 400 \Omega$

Calculate the unregulated voltage:

V₁ = 12 \times ( (400)/(100 + 400) ) = 12 \times (4)/(5) = 9.6 ~V

Since $V₁ > Vz$ $V_1 > V_z$ ( $9.6 ~V > 4 ~V$ $9.6 \mathrm{~V} > 4 \mathrm{~V}$), breakdown occurs, and the parallel branch voltage is fixed at $Vz = 4 ~V$ $V_z = 4 \mathrm{~V}$.

Step 1: Calculate Branch Current

The voltage across the $400 Ω$ $400 \Omega$ load resistor (which is in series with the ammeter) is locked at $4 ~V$ $4 \mathrm{~V}$.

The current $I$ $I$ through the ammeter is:

I = (Vz)/(RL) = 4 ~V400 Ω = 10⁻² ~A = 10 ~mA

Pattern Recognition

Sees: Parallel Zener diode configuration. Shortcut: Always calculate the open-circuit load voltage first. If it exceeds $Vz$ $V_z$, use $Vz$ $V_z$ as the branch potential. The branch current is simply $Vz / RL$ $V_z / R_L$. Here, $4 / 400 = 10 ~mA$ $4 / 400 = 10 \mathrm{~mA}$.

Chapter Mix

Class 12 Physics: Semiconductor Electronics: Materials, Devices and Simple Circuits

Q8 jee_main_2025_08_april_evening Diodes

The output voltage in the following circuit is (Consider ideal diode case)

Diodes circuit diagram for Q8 - JEE Main 2025 Evening — A schematic of a circuit showing an input voltage, two diodes D1 and D2 connected in parallel paths, a resistor, and the output node V_out.

A. $10~V$ $10\mathrm{~V}$
B. $0~V$ $0\mathrm{~V}$
C. $+5~V$ $+5\mathrm{~V}$
D. $-5~V$ $-5\mathrm{~V}$

Solution

Related Formula

For ideal diodes:

Forward Bias: Acts as a closed switch (zero resistance, short circuit).
Reverse Bias: Acts as an open switch (infinite resistance, open circuit).

Core Logic

Analyzing the bias condition of the diodes based on the applied potential in the schematic:

Diode $D₁$ $D_1$ is oriented such that its cathode faces the positive terminal ( $+5~V$ $+5\mathrm{~V}$), making it Reverse Biased (no current flows through this branch).
Diode $D₂$ $D_2$ is oriented such that its anode connects to the $+5~V$ $+5\mathrm{~V}$ path, making it Forward Biased.

Since $D₂$ $D_2$ is forward-biased and ideal, it acts as a short circuit (resistance $RD = 0$ $R_D = 0$). Current flows through $D₂$ $D_2$ and through the series resistor.

Step 1: Calculating output node potential

Because the forward-biased ideal diode $D₂$ $D_2$ connects the node directly to the low-resistance ground loop or the reference resistor drop, the entire $5~V$ $5\mathrm{~V}$ potential drops across the resistor:

Vout = 0~V

Pattern Recognition

Sees: Parallel diode configuration with opposite polarities. Shortcut: Check polarity. $D₁$ $D_1$ is reverse-biased (open), $D₂$ $D_2$ is forward-biased (short). The output terminal is pulled down to the reference ground, leading directly to $0~V$ $0\mathrm{~V}$. ✓

Chapter Mix

Class 12 Physics: Semiconductor Electronics

Q18 jee_main_2025_29_jan_evening Logic Gates

The truth table for the circuit given below is :

Logic Gates circuit diagram for Q18 - JEE Main 2025 Evening — The image shows a digital logic circuit containing multiple interconnected logic gates with input terminals A and B and output terminal Y.

A. $array|c|c|c| A & B & Y 0 & 0 & 0 0 & 1 & 1 1 & 0 & 1 1 & 1 & 0 array$
B. $array|c|c|c| A & B & Y 0 & 0 & 0 1 & 0 & 0 1 & 1 & 0 0 & 1 & 1 array$
C. $array|c|c|c| A & B & Y 0 & 0 & 0 1 & 0 & 1 0 & 1 & 0 1 & 1 & 0 array$
D. $array|c|c|c| A & B & Y 0 & 0 & 0 1 & 1 & 1 1 & 0 & 1 0 & 1 & 1 array$

Solution

Related Formula

Y = A \cdot B + A \cdot B = A B

Core Logic

Analyzing the circuit layout:

The top AND gate receives inputs $A$ $A$ and $B$ $\bar{B}$, yielding output term $A B$ $A\bar{B}$.
The bottom AND gate receives inputs $A$ $\bar{A}$ and $B$ $B$, yielding output term $AB$ $\bar{A}B$.
These terms pass into a terminal OR gate, producing:

Y = A B + AB

Logic Boolean Analysis diagram for Q18 - JEE Main 2025 Evening — The image shows a digital logic circuit containing multiple interconnected logic gates with input terminals A and B and output terminal Y.

This is the precise expression for an XOR (Exclusive OR) gate. The corresponding truth table gives an output of $1$ $1$ only when inputs are mismatched ( $0,1$ $0,1$ or $1,0$ $1,0$), and $0$ $0$ otherwise. This aligns exactly with Option 1.

Pattern Recognition

Recognize the symmetric cross-inversion network of gates: $(A \cdot B) + ( A \cdot B)$ $(A \cdot \bar{B}) + (\bar{A} \cdot B)$. This combination structurally builds an XOR logic function.

Chapter Mix

Class 12 Physics: Semiconductor Electronics

Q jee_main_2025_03_april_morning Logic Gates

Choose the correct logic circuit for the given truth table having inputs A and B.

Inputs		Output
$A$ $A$	$B$ $B$	$Y$ $Y$
0	0	0
0	1	0
1	0	1
1	1	1

Solution

Related Formula

Let us inspect the Boolean expression for the output $Y$ $Y$ from the truth table. From the table:

If $A=0$ $A=0$, $Y=0$ $Y=0$ regardless of $B$ $B$.
If $A=1$ $A=1$, $Y=1$ $Y=1$ regardless of $B$ $B$.

Thus, the truth table is represented by the simple direct logical equation: $Y = A$ $Y = A$

Core Logic

Let's check the Boolean output of the options shown in the question paper:

Circuit (1): Inputs $A$ $A$ and $B$ $B$ go into an OR gate, outputting $(A + B)$ $(A + B)$. This output and $B$ $B$ then go to an AND gate.

Y = (A + B) \cdot B = A\cdot B + B\cdot B = B(A + 1) = B

This gives $Y = B$ $Y = B$ (Not matching table).

Circuit (2): Inputs $A$ $A$ and $B$ $B$ go into an OR gate, outputting $(A + B)$ $(A + B)$. This and $A$ $A$ then go into an AND gate.

Y = (A + B) \cdot A = A\cdot A + A\cdot B = A + A\cdot B = A(1 + B) = A

This gives $Y = A$ $Y = A$ (Perfect match to the truth table where $Y$ $Y$ exactly copies $A$ $A$).

Step 1: Verification of Circuit (2)

Let's double-check the truth table values for Circuit (2):

For $A=0, B=0$ $A=0, B=0$: $Y = (0 + 0) \cdot 0 = 0$ $Y = (0 + 0) \cdot 0 = 0$.
For $A=0, B=1$ $A=0, B=1$: $Y = (0 + 1) \cdot 0 = 0$ $Y = (0 + 1) \cdot 0 = 0$.
For $A=1, B=0$ $A=1, B=0$: $Y = (1 + 0) \cdot 1 = 1$ $Y = (1 + 0) \cdot 1 = 1$.
For $A=1, B=1$ $A=1, B=1$: $Y = (1 + 1) \cdot 1 = 1$ $Y = (1 + 1) \cdot 1 = 1$.

This perfectly matches the given truth table. Therefore, Circuit (2) is correct.

Pattern Recognition

Identify the logic expression directly from the truth table first! Notice that $Y$ $Y$ is completely independent of $B$ $B$ and strictly equals $A$ $A$. This immediately points to any Boolean simplification that collapses to $A$ $A$ (such as absorption law: $A(A+B) = A$ $A(A+B) = A$).

Chapter Mix

Class 12 Physics: Semiconductor Electronics: Materials, Devices and Simple Circuits

Which of the following circuits has the same output as that of the given circuit? A combination gate circuit configuration evaluated for total Boolean output expressions.

Solution & Explanation

Core Logic

Step 1: Final Reduction

Pattern Recognition

Chapter Mix

More Semiconductor Electronics: Materials, Devices and Simple Circuits Previous-Year Questions — Page 3

Solution

Related Formula

Core Logic

Step 1: Calculate Branch Current

Pattern Recognition

Chapter Mix

Solution

Related Formula

Core Logic

Step 1: Calculating output node potential

Pattern Recognition

Chapter Mix

Solution

Related Formula

Core Logic

Pattern Recognition

Chapter Mix

Solution

Related Formula

Core Logic

Step 1: Verification of Circuit (2)

Pattern Recognition

Chapter Mix

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Which of the following circuits has the same output as that of the given circuit?
A combination gate circuit configuration evaluated for total Boolean output expressions.