The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at VZ = 5V and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25V. Considering the Zener diode can withstand four times of the load current, the value of resistor RS (shown in circuit) should be ____ Omega.

The question is dropped by the examination authority, meaning there was an anomaly in data or multiple correct interpretations, likely due to imprecise wording regarding the maximum source voltage and the exact safe current rating. In a nominal calculation, IZ_max = 4 x 5 mA = 20 mA. Total current I = 25 mA. RS = (25 - 5) / (25 x 10-3) = 800Omega, which is not in the options. Question Dropped. Sees: "Question Dropped" → This often occurs when mathematical data maps to none of the provided MCQs. Class 12 Physics: Semiconductor Electronics: Materials, Devices and Simple Circuits

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at VZ = 5V and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25V. Cons

The question is dropped by the examination authority, meaning there was an anomaly in data or multiple correct interpretations, likely due to imprecise wording regarding the maximum source voltage and the exact safe current rating. In a nominal calculation, IZ_max = 4 x 5 mA = 20 mA. Total current I = 25 mA. RS = (25 - 5) / (25 x 10-3) = 800Omega, which is not in the options. Question Dropped. Sees: "Question Dropped" → This often occurs when mathematical data maps to none of the provided MCQs.

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at VZ = 5V and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25V. Considering the Zener diode can withstand four times of the load current, the value of resistor RS (shown in circuit) should be ____ Omega.

The question is dropped by the examination authority, meaning there was an anomaly in data or multiple correct interpretations, likely due to imprecise wording regarding the maximum source voltage and the exact safe current rating. In a nominal calculation, IZ_max = 4 x 5 mA = 20 mA. Total current I = 25 mA. RS = (25 - 5) / (25 x 10-3) = 800Omega, which is not in the options. Question Dropped. Sees: "Question Dropped" → This often occurs when mathematical data maps to none of the provided MCQs. Class 12 Physics: Semiconductor Electronics: Materials, Devices and Simple Circuits

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at VZ = 5V and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25V. Cons

The question is dropped by the examination authority, meaning there was an anomaly in data or multiple correct interpretations, likely due to imprecise wording regarding the maximum source voltage and the exact safe current rating. In a nominal calculation, IZ_max = 4 x 5 mA = 20 mA. Total current I = 25 mA. RS = (25 - 5) / (25 x 10-3) = 800Omega, which is not in the options. Question Dropped. Sees: "Question Dropped" → This often occurs when mathematical data maps to none of the provided MCQs.

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at VZ = 5V and the desired…

Q11 jee_main_2025_02_april_morning Zener Diode and Voltage Regulation

A zener diode with

5~V

zener voltage is used to regulate an unregulated dc voltage input of

25~V

. For a

400~Ω

resistor connected in series, the zener current is found to be 4 times load current. The load current

(IL)

and load resistance

(RL)

are:

A. $IL = 20~mA; RL = 250~Ω$
B. $IL = 10~A; RL = 0.5~Ω$
C. $IL = 0.02~mA; RL = 250~Ω$
D. $IL = 10~mA; RL = 500~Ω$

Solution

Related Formula

Itotal = IZ + IL

Itotal = Vᵢₙ - VZRS

RL = (VZ)/(IL)

Core Logic

Given parameters:

Input voltage, $Vᵢₙ = 25~V$ $V_{\text{in}} = 25\mathrm{~V}$
Zener breakdown voltage, $VZ = 5~V$ $V_Z = 5\mathrm{~V}$
Series resistor, $RS = 400~Ω$ $R_S = 400\mathrm{~\Omega}$

The voltage drop across the series resistor $RS$ $R_S$ is:

VRS = Vᵢₙ - VZ = 25 - 5 = 20~V

The total series current $I$ $I$ is:

Itotal = VRSRS = (20)/(400) = 0.05~A = 50~mA

We are given that the zener current $IZ$ $I_Z$ is 4 times the load current $IL$ $I_L$:

$IZ = 4 IL$ $I_Z = 4 I_L$

Since $Itotal = IZ + IL$ $I_{\text{total}} = I_Z + I_L$:

50~mA = 4 IL + IL = 5 IL IL = 10~mA

The load resistance connected in parallel with the Zener diode is:

RL = (VZ)/(IL) = 5~V10 \times 10⁻³~A = 500~Ω

Step 1: Final Conclusion

The load current is $10~mA$ $10\mathrm{~mA}$ and the load resistance is $500~Ω$ $500\mathrm{~\Omega}$.

Pattern Recognition

In any zener regulator problem: first determine the series path current using $Itotal = Vᵢₙ - VZRₛ$ . Split this total current using the given ratio of $IZ$ $I_Z$ and $IL$ $I_L$. Finally, determine $RL$ $R_L$ from $VZ / IL$ $V_Z / I_L$.

Chapter Mix

Class 12 Physics: Semiconductor Electronics

Q jee_main_2025_03_april_evening Logic Gates and Truth Tables

The truth table corresponding to the circuit given below is:

Logic gate circuit diagram for Q13 - JEE Main 2025 Evening — Diagram showing a combination of logic gates connected to inputs A and B resulting in output C.

A. $Table 1$ $\text{Table 1}$
B. $Table 2$ $\text{Table 2}$
C. $Table 3$ $\text{Table 3}$
D. $Table 4$ $\text{Table 4}$

Solution

Related Formula

Boolean operators for basic logic gates:

OR gate:

$Y = A + B$ $Y = A + B$

AND gate:

$Y = A \cdot B$ $Y = A \cdot B$

Core Logic

Analyze the schematic:

Input lines $A$ $A$ and $B$ $B$ are linked into an OR gate, yielding output:

$Y = A + B$ $Y = A + B$

This term $A + B$ $A + B$ and the original input line $A$ $A$ form the inputs to a final AND gate.
The final output expression $C$ $C$ is therefore:

C = A \cdot (A + B)

Logic Gates and Truth Tables — Diagram showing a combination of logic gates connected to inputs A and B resulting in output C.

Step 1: Construct the Truth Table

Compute output values for each input combination:

For $A=0, B=0$ $A=0, B=0$:

C = 0 \cdot (0 + 0) = 0

For $A=1, B=0$ $A=1, B=0$:

C = 1 \cdot (1 + 0) = 1 \cdot 1 = 1

For $A=0, B=1$ $A=0, B=1$:

C = 0 \cdot (0 + 1) = 0 \cdot 1 = 0

For $A=1, B=1$ $A=1, B=1$:

C = 1 \cdot (1 + 1) = 1 \cdot 1 = 1

This matches Table 2.

Pattern Recognition

Using Boolean algebra:

C = A \cdot (A + B) = A \cdot A + A \cdot B = A + A \cdot B

By absorption law:

A + A \cdot B = A

So the circuit is equivalent to a simple buffer carrying input $A$ $A$. The output $C$ $C$ must match input $A$ $A$ under all conditions. Checking the options, Table 2 is the one where output $C$ $C$ tracks input $A$ $A$ directly ( $0, 1, 0, 1$ $0, 1, 0, 1$).

Chapter Mix

Class 12 Physics: Semiconductors

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

Solution & Explanation

Related Formula

Core Logic

Step 1: Final Conclusion

Pattern Recognition

Chapter Mix

Reference Study Guides

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

Solution

Related Formula

Core Logic

Step 1: Final Conclusion

Pattern Recognition

Chapter Mix

Solution

Related Formula

Core Logic

Step 1: Construct the Truth Table

Pattern Recognition

Chapter Mix

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

More Semiconductor Electronics: Materials, Devices and Simple Circuits Questions — jee_main_2026_23_january_morning

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