Question 1 [14 marks]#
Answer any seven out of ten.
Question 1(1) [2 marks]#
Define resistor and give its unit.
Answer: A resistor is an electronic component that opposes the flow of electric current. Its unit is Ohm (Ω).
Table: Resistor Properties
| Property | Description |
|---|---|
| Symbol | ⏅ |
| Unit | Ohm (Ω) |
| Function | Limits current flow |
Mnemonic: “Resistors Oppose Current” (ROC)
Question 1(2) [2 marks]#
Give two examples of active and passive components each.
Answer:
Table: Electronic Components Classification
| Active Components | Passive Components |
|---|---|
| 1. Transistors | 1. Resistors |
| 2. Diodes | 2. Capacitors |
Mnemonic: “TARD” - Transistors And Resistors Differ
Question 1(3) [2 marks]#
Draw symbols of any two semiconductor devices.
Answer:
Diagram:
graph TD
subgraph Diode
A[Plus] --> B["|<|"] --> C[Minus]
end
subgraph NPN_Transistor
D[C] --> E
F[E] --> E
G[B] --> E
end
Mnemonic: “Diodes Direct, Transistors Transfer”
Question 1(4) [2 marks]#
Differentiate between intrinsic and extrinsic semiconductor.
Answer:
Table: Intrinsic vs Extrinsic Semiconductors
| Intrinsic | Extrinsic |
|---|---|
| Pure semiconductor without impurities | Semiconductor with added impurities |
| Equal number of holes and electrons | Unequal holes and electrons |
| Examples: Pure Silicon, Germanium | Examples: Silicon doped with Phosphorus |
Mnemonic: “Pure In, Doped Ex”
Question 1(5) [2 marks]#
LED stands for _________________.
Answer: LED stands for Light Emitting Diode.
Diagram:
graph LR
A[Light] --> B[Emitting] --> C[Diode]
style A fill:#f96,stroke:#333
style B fill:#9cf,stroke:#333
style C fill:#f9f,stroke:#333
Mnemonic: “Light Emitters Dazzle”
Question 1(6) [2 marks]#
State any two applications of Photo-diode.
Answer:
Table: Photo-diode Applications
| Application | How it works |
|---|---|
| Light sensors | Converts light to electrical current |
| Optical communication | Detects optical signals in fiber optics |
Mnemonic: “Light Sensing Communication” (LSC)
Question 1(7) [2 marks]#
List the types of transistor and draw their symbols.
Answer:
Types of Transistors:
- NPN Transistor
- PNP Transistor
Diagram:
graph TD
subgraph "NPN"
A[C] --- B --- C[E]
D[B] --- B
end
subgraph "PNP"
E[E] --- F --- G[C]
H[B] --- F
end
Mnemonic: “Not Pointing iN, Pointing outP”
Question 1(8) [2 marks]#
Give the value of forward voltage drop of Germanium and Silicon diode.
Answer:
Table: Forward Voltage Drop Values
| Diode Type | Forward Voltage Drop |
|---|---|
| Germanium | 0.3V |
| Silicon | 0.7V |
Mnemonic: “Germanium’s Three, Silicon’s Seven” (0.3V, 0.7V)
Question 1(9) [2 marks]#
The _________________ diode can be used as a light detector.
Answer: The Photodiode can be used as a light detector.
Diagram:
graph LR
A[Light] -->|detected by| B[Photodiode]
B -->|generates| C[Current]
style A fill:#ff9,stroke:#333
style B fill:#9cf,stroke:#333
style C fill:#f96,stroke:#333
Mnemonic: “Photo Detects Light” (PDL)
Question 1(10) [2 marks]#
Define Q-factor of a coil.
Answer: Q-factor (Quality factor) of a coil is the ratio of its inductive reactance to its resistance, indicating how efficiently it stores energy.
Table: Q-Factor
| Parameter | Description |
|---|---|
| Formula | Q = XL/R |
| Higher Q | Better quality, less energy loss |
| Lower Q | Poor quality, more energy loss |
Mnemonic: “Quality equals Reactance over Resistance” (QRR)
Question 2(a) [3 marks]#
Explain colour coding method of resistor.
Answer:
Resistor color coding uses colored bands to indicate resistance value and tolerance.
Table: Resistor Color Code
| Color | Digit | Multiplier |
|---|---|---|
| Black | 0 | 10⁰ |
| Brown | 1 | 10¹ |
| Red | 2 | 10² |
| Orange | 3 | 10³ |
| Yellow | 4 | 10⁴ |
For a 4-band resistor:
- First band: First digit
- Second band: Second digit
- Third band: Multiplier
- Fourth band: Tolerance
Mnemonic: “Bad Boys Race Our Young Girls But Violet Generally Wins” (Colors in order: Black, Brown, Red, Orange, Yellow, Green, Blue, Violet, Grey, White)
Question 2(a) OR [3 marks]#
Explain Light Dependent Resistor with its characteristics.
Answer:
LDR is a resistor whose resistance decreases when light intensity increases.
Characteristics of LDR:
Table: LDR Properties
| Parameter | Behavior |
|---|---|
| Dark condition | High resistance (MΩ) |
| Bright condition | Low resistance (kΩ) |
| Response time | Few milliseconds |
Diagram:
graph TD
A[Increase Light] -->|Causes| B[Decrease Resistance]
C[Decrease Light] -->|Causes| D[Increase Resistance]
style A fill:#ff9,stroke:#333
style B fill:#9cf,stroke:#333
style C fill:#999,stroke:#333
style D fill:#f96,stroke:#333
Mnemonic: “Light Up, Resistance Down” (LURD)
Question 2(b) [3 marks]#
Explain classification of capacitors in detail.
Answer:
Capacitors are classified based on dielectric material and construction.
Table: Capacitor Classifications
| Type | Dielectric | Applications |
|---|---|---|
| Ceramic | Ceramic | High frequency |
| Electrolytic | Aluminum oxide | Power supplies |
| Polyester | Plastic film | General purpose |
| Tantalum | Tantalum oxide | Small, high capacity |
Diagram:
graph TD
A[Capacitors] --> B[Fixed]
A --> C[Variable]
B --> D[Ceramic]
B --> E[Electrolytic]
B --> F[Polyester/Film]
C --> G[Air Gang]
C --> H[Trimmer]
style A fill:#f96,stroke:#333
Mnemonic: “CEPT” (Ceramic, Electrolytic, Polyester, Tantalum)
Question 2(b) OR [3 marks]#
Explain classification of inductor in detail.
Answer:
Inductors are classified based on core material and construction.
Table: Inductor Classifications
| Type | Core | Characteristics |
|---|---|---|
| Air core | Air | Low inductance, low losses |
| Iron core | Iron | High inductance, high losses |
| Ferrite core | Ferrite | Medium inductance, low losses |
| Toroidal | Ring shaped | High efficiency, low EMI |
Diagram:
graph TD
A[Inductors] --> B[Air Core]
A --> C[Iron Core]
A --> D[Ferrite Core]
A --> E[Toroidal]
style A fill:#9cf,stroke:#333
Mnemonic: “Air Iron Ferrite Toroid” (AIFT)
Question 2(c) [4 marks]#
State and explain Faraday’s laws of Electromagnetic Induction.
Answer:
Faraday’s laws explain how electromagnetic induction works.
Faraday’s First Law: When a magnetic field linked with a conductor changes, an EMF is induced in the conductor.
Faraday’s Second Law: The magnitude of induced EMF is proportional to the rate of change of magnetic flux.
Table: Faraday’s Laws Summary
| Law | Statement | Formula |
|---|---|---|
| First Law | Change in magnetic field induces EMF | - |
| Second Law | EMF ∝ rate of change of flux | E = -N(dΦ/dt) |
Diagram:
graph LR
A[Moving Magnet] -->|Creates| B[Changing Magnetic Field]
B -->|Induces| C[EMF in Conductor]
style A fill:#f96,stroke:#333
style B fill:#9cf,stroke:#333
style C fill:#ff9,stroke:#333
Mnemonic: “Change Magnetic Field, Create Electric Current” (CMFCEC)
Question 2(c) OR [4 marks]#
Enlist specifications of capacitors and explain two in detail.
Answer:
Specifications of Capacitors:
- Capacitance value
- Voltage rating
- Tolerance
- Leakage current
- Temperature coefficient
Detailed Explanation:
Capacitance Value: The amount of charge a capacitor can store per volt, measured in Farads (F).
Voltage Rating: The maximum voltage that can be applied without damaging the capacitor.
Table: Capacitor Specifications
| Specification | Description | Typical Values |
|---|---|---|
| Capacitance | Charge storage capacity | pF to mF |
| Voltage Rating | Maximum safe voltage | 16V, 25V, 50V, etc. |
Diagram:
graph TD
A[Capacitor Specifications] --> B[Capacitance Value]
A --> C[Voltage Rating]
A --> D[Tolerance]
A --> E[Leakage Current]
A --> F[Temperature Coefficient]
style A fill:#9cf,stroke:#333
Mnemonic: “Capacitors Very Tolerant of Low Temperatures” (CVTLT)
Question 2(d) [4 marks]#
Write colour band of 47Ω±5% resistance.
Answer:
For 47Ω±5% resistor, the color bands are:
Table: Color Bands for 47Ω±5%
| Band | Color | Represents |
|---|---|---|
| 1st band | Yellow | 4 |
| 2nd band | Violet | 7 |
| 3rd band | Black | ×10⁰ |
| 4th band | Gold | ±5% |
Diagram:
graph LR
A[Yellow] -->|4| B[Violet] -->|7| C[Black] -->|×10⁰| D[Gold] -->|±5%| E[47Ω±5%]
style A fill:#ff9,stroke:#333
style B fill:#f0f,stroke:#333
style C fill:#000,stroke:#fff
style D fill:#fd0,stroke:#333
style E fill:#fff,stroke:#333
Mnemonic: “Yellow Violets Bring Gold” (The colors of the bands)
Question 2(d) OR [4 marks]#
Calculate value of resistor and tolerance for a given colour code: Brown, Black, yellow.
Answer:
Table: Interpretation of Brown, Black, Yellow
| Band | Color | Value | Meaning |
|---|---|---|---|
| 1st | Brown | 1 | First digit |
| 2nd | Black | 0 | Second digit |
| 3rd | Yellow | 10⁴ | Multiplier |
Calculation: 1st digit: 1 2nd digit: 0 Multiplier: 10⁴
Value = 10 × 10⁴ = 100,000Ω = 100kΩ
No 4th band means ±20% tolerance
Diagram:
graph LR
A[Brown] -->|1| B[Black] -->|0| C[Yellow] -->|×10⁴| D[100kΩ ±20%]
style A fill:#a52a2a,stroke:#333
style B fill:#000,stroke:#fff
style C fill:#ff0,stroke:#333
style D fill:#fff,stroke:#333
Mnemonic: “Big Black Yield” (Brown-Black-Yellow)
Question 3(a) [3 marks]#
Define doping. Give the name of semiconductor materials fabricated by doping with an example of each.
Answer:
Doping is the process of adding impurities to a pure semiconductor to modify its electrical properties.
Table: Doped Semiconductors
| Type | Dopant Added | Example | Majority Carriers |
|---|---|---|---|
| P-type | Trivalent (Boron, Gallium) | Silicon doped with Boron | Holes |
| N-type | Pentavalent (Phosphorus, Arsenic) | Silicon doped with Phosphorus | Electrons |
Diagram:
graph LR
A[Pure Semiconductor] --> B[Add Trivalent Impurity] --> C[P-type]
A --> D[Add Pentavalent Impurity] --> E[N-type]
style A fill:#9cf,stroke:#333
style C fill:#f96,stroke:#333
style E fill:#99f,stroke:#333
Mnemonic: “Positive has Plus Holes, Negative has Numerous Electrons” (PHNE)
Question 3(a) OR [3 marks]#
Define Ripple factor, Peak Inverse Voltage (PIV), Rectification efficiency.
Answer:
Table: Rectifier Terms
| Term | Definition | Formula |
|---|---|---|
| Ripple Factor | Measure of AC component in rectified output | r = Vrms(AC)/Vdc |
| Peak Inverse Voltage | Maximum reverse voltage a diode can withstand | - |
| Rectification Efficiency | Ratio of DC output power to AC input power | η = (Pdc/Pac) × 100% |
Diagram:
graph TD
A[Rectifier Parameters] --> B[Ripple Factor]
A --> C[Peak Inverse Voltage]
A --> D[Rectification Efficiency]
style A fill:#9cf,stroke:#333
Mnemonic: “Ripples Peak Efficiently” (RPE)
Question 3(b) [3 marks]#
Explain working of Crystal diode.
Answer:
Crystal diode is a point-contact diode made with a semiconductor crystal.
Table: Crystal Diode Properties
| Property | Description |
|---|---|
| Construction | Metal point contact on semiconductor crystal |
| Function | Rectification of high frequency signals |
| Application | Radio signal detection |
Diagram:
graph LR
A[RF Signal] --> B[Crystal Diode] --> C[Rectified Signal]
style A fill:#9cf,stroke:#333
style B fill:#f96,stroke:#333
style C fill:#9f9,stroke:#333
Mnemonic: “Crystal Detects Radio Frequencies” (CDRF)
Question 3(b) OR [3 marks]#
Explain working of photodiode.
Answer:
Photodiode converts light energy into electrical current when operated in reverse bias.
Table: Photodiode Characteristics
| Parameter | Behavior |
|---|---|
| Light condition | Generates electron-hole pairs |
| Reverse current | Increases with light intensity |
| Speed | Fast response time |
Diagram:
graph LR
A[Light] -->|Strikes| B[PN Junction]
B -->|Creates| C[Electron-Hole Pairs]
C -->|Produces| D[Current Flow]
style A fill:#ff9,stroke:#333
style D fill:#9cf,stroke:#333
Mnemonic: “Light In, Current Out” (LICO)
Question 3(c) [4 marks]#
Explain half-wave rectifier with circuit diagram and waveforms.
Answer:
Half-wave rectifier converts AC to pulsating DC by allowing current flow only during positive half cycles.
Circuit Diagram:
graph LR
A[AC Input] --- B[Transformer] --- C[Diode] --- D[Load Resistor] --- E[Ground]
E --- A
style A fill:#9cf,stroke:#333
style D fill:#f96,stroke:#333
Waveforms:
graph TD
subgraph "Input AC"
A[+Vp] --- B[(0)] --- C[-Vp]
end
subgraph "Output DC"
D[+Vp] --- E[(0)] --- F[(0)]
end
style A fill:#9cf,stroke:#333
style C fill:#9cf,stroke:#333
style D fill:#f96,stroke:#333
Table: Half-Wave Rectifier Properties
| Parameter | Value |
|---|---|
| Ripple Factor | 1.21 |
| Efficiency | 40.6% |
| Output Frequency | Same as input |
Mnemonic: “Half Wave Passes Half” (HWPH)
Question 3(c) OR [4 marks]#
Explain full-wave rectifier with circuit diagram and waveforms.
Answer:
Full-wave rectifier converts both halves of AC input to pulsating DC output.
Circuit Diagram (Bridge type):
graph LR
A[AC Input] --- B[D1]
A --- C[D3]
B --- D[D2] --- E[+Output]
C --- F[D4] --- G[-Output]
E --- H[Load] --- G
style A fill:#9cf,stroke:#333
style H fill:#f96,stroke:#333
Waveforms:
graph TD
subgraph "Input AC"
A[+Vp] --- B[(0)] --- C[-Vp] --- B
end
subgraph "Output DC"
D[+Vp] --- E[(0)] --- D
end
style A fill:#9cf,stroke:#333
style C fill:#9cf,stroke:#333
style D fill:#f96,stroke:#333
Table: Full-Wave Rectifier Properties
| Parameter | Value |
|---|---|
| Ripple Factor | 0.48 |
| Efficiency | 81.2% |
| Output Frequency | Twice the input |
Mnemonic: “Full Wave Makes Full Use” (FWMFU)
Question 3(d) [4 marks]#
Draw and explain VI characteristics of PN junction diode.
Answer:
VI Characteristics:
graph TD
subgraph "Forward Bias"
A[Vf] --> B[If]
end
subgraph "Reverse Bias"
C[Vr] --> D[Ir]
E[Breakdown] --> F[Reverse Current Increases]
end
style A fill:#9cf,stroke:#333
style C fill:#f96,stroke:#333
style E fill:#f00,stroke:#333
Table: PN Junction Diode Characteristics
| Region | Behavior |
|---|---|
| Forward Bias | Current increases exponentially after 0.7V (Si) |
| Reverse Bias | Very small leakage current flows |
| Breakdown | Occurs at high reverse voltage, current increases rapidly |
Forward Bias: Positive voltage to P-side, current flows easily after threshold. Reverse Bias: Positive voltage to N-side, only small leakage current flows.
Mnemonic: “Forward Flows, Reverse Restricts” (FFRR)
Question 3(d) OR [4 marks]#
Write difference between P-type and N-type semiconductor.
Answer:
Table: P-type vs N-type Semiconductor
| Property | P-type | N-type |
|---|---|---|
| Dopant | Trivalent (Boron, Gallium) | Pentavalent (Phosphorus, Arsenic) |
| Majority Carriers | Holes | Electrons |
| Minority Carriers | Electrons | Holes |
| Electrical Charge | Relatively Positive | Relatively Negative |
| Conductivity | Lower than N-type | Higher than P-type |
Diagram:
graph LR
subgraph "P-type"
A[Silicon] --- B[Boron]
C[Holes] --- D[+]
end
subgraph "N-type"
E[Silicon] --- F[Phosphorus]
G[Electrons] --- H[-]
end
style C fill:#f96,stroke:#333
style G fill:#9cf,stroke:#333
Mnemonic: “Positive has Plus Holes, Negative has Numerous Electrons” (PHNE)
Question 4(a) [3 marks]#
Explain the principle of operation of LED.
Answer:
LED (Light Emitting Diode) emits light when forward biased due to electron-hole recombination.
Principle of Operation: When forward biased, electrons from N-side move to P-side and recombine with holes, releasing energy as photons (light).
Table: LED Operation
| Process | Result |
|---|---|
| Forward bias | Current flows |
| Electron-hole recombination | Energy release |
| Energy band gap | Determines color |
Diagram:
graph LR
A[Forward Bias] -->|Causes| B[Current Flow]
B -->|Creates| C[Electron-Hole Recombination]
C -->|Releases| D[Photons or Light]
Mnemonic: “Forward Current Emits Light” (FCEL)
Question 4(a) OR [3 marks]#
State applications of LED.
Answer:
Table: LED Applications
| Application | Advantage |
|---|---|
| Display indicators | Low power consumption |
| Digital displays | Varied colors available |
| Lighting | Energy efficient |
| Remote controls | Infrared communication |
| Traffic signals | Long life, high visibility |
Diagram:
graph TD
A[LED Applications] --> B[Indicators]
A --> C[Displays]
A --> D[Lighting]
A --> E[Communication]
A --> F[Signals]
style A fill:#9cf,stroke:#333
Mnemonic: “Display Lights In Clever Signals” (DLICS)
Question 4(b) [4 marks]#
Explain Zener diode as voltage regulator.
Answer:
Zener diode maintains constant output voltage despite input voltage fluctuations when operated in reverse breakdown region.
Circuit:
graph LR
A[Unregulated DC] --- B[Series Resistor] --- C[Output]
C --- D[Zener Diode] --- E[Ground]
C --- F[Load] --- E
style A fill:#9cf,stroke:#333
style C fill:#9f9,stroke:#333
style D fill:#f96,stroke:#333
Working:
- Series resistor limits current
- Zener operates in breakdown region
- Maintains constant voltage across load
Table: Zener Regulator Characteristics
| Parameter | Description |
|---|---|
| Voltage regulation | Maintains constant output despite input changes |
| Power rating | Must handle power dissipation |
| Temperature stability | Output varies slightly with temperature |
Mnemonic: “Zeners Break to Regulate” (ZBR)
Question 4(b) OR [4 marks]#
Give limitations of zener voltage regulator.
Answer:
Table: Limitations of Zener Voltage Regulator
| Limitation | Effect |
|---|---|
| Power Dissipation | Limited by zener power rating |
| Current Capacity | Can handle only small loads |
| Temperature Sensitivity | Output varies with temperature |
| Efficiency | Poor efficiency due to power loss in series resistor |
| Noise | Generates electrical noise |
Diagram:
graph TD
A[Zener Limitations] --> B[Power Limits]
A --> C[Current Limits]
A --> D[Temperature Effects]
A --> E[Efficiency Issues]
A --> F[Noise Generation]
style A fill:#f96,stroke:#333
Mnemonic: “Power Current Temperature Efficiency Noise” (PCTEN)
Question 4(c) [7 marks]#
Discuss the necessity of filter circuit in rectifier. List various types of filter circuits used in rectifier and explain any one with neat diagram.
Answer:
Necessity of Filter Circuit: Rectifier output contains AC ripple that must be removed for smoother DC. Filters reduce these ripples to provide steady DC output.
Types of Filter Circuits:
- Capacitor filter (Shunt capacitor)
- LC filter
- π-filter (Pi-filter)
- RC filter
Explanation of Capacitor Filter:
Circuit Diagram:
graph LR
A[Rectifier Output] --- B[+]
B --- C[Load]
B --- D[Capacitor]
C --- E[Ground]
D --- E
style A fill:#9cf,stroke:#333
style C fill:#f96,stroke:#333
style D fill:#9f9,stroke:#333
Working:
- Capacitor charges during voltage peaks
- Discharges slowly during voltage drops
- Maintains output voltage between peaks
- Reduces ripple voltage
Table: Capacitor Filter Characteristics
| Parameter | Effect |
|---|---|
| Capacitance value | Higher value gives less ripple |
| Ripple reduction | Typically reduces by 70-80% |
| Load current | Higher load current causes more ripple |
| Frequency | Higher frequency is easier to filter |
Waveforms:
graph TD
subgraph "Rectifier Output"
A[Pulsating DC]
end
subgraph "Filter Output"
B[Smoother DC]
end
style A fill:#f96,stroke:#333
style B fill:#9f9,stroke:#333
Mnemonic: “Capacitors Hold Voltage During Drops” (CHVDD)
Question 5(a) [3 marks]#
Define e-waste. List common e-waste items.
Answer:
E-waste refers to discarded electronic devices and components that have reached the end of their useful life.
Table: Common E-waste Items
| Category | Examples |
|---|---|
| Computing devices | Computers, laptops, tablets |
| Communication devices | Mobile phones, telephones |
| Home appliances | TVs, refrigerators, washing machines |
| Electronic components | Circuit boards, batteries, cables |
| Office equipment | Printers, scanners, copiers |
Diagram:
graph TD
A[E-waste] --> B[Computing]
A --> C[Communication]
A --> D[Home Appliances]
A --> E[Components]
A --> F[Office Equipment]
style A fill:#f96,stroke:#333
Mnemonic: “Computers, Communication, Components, Home Appliances” (CCCHA)
Question 5(b) [3 marks]#
State and explain various strategies of e-waste management.
Answer:
Table: E-waste Management Strategies
| Strategy | Description |
|---|---|
| Reduce | Minimize purchase of new electronics |
| Reuse | Extend life through repair and repurposing |
| Recycle | Process e-waste to recover valuable materials |
| Responsible disposal | Use authorized e-waste collection centers |
| Extended producer responsibility | Manufacturers take back end-of-life products |
Diagram:
graph TD
A[E-waste Management] --> B[Reduce]
A --> C[Reuse]
A --> D[Recycle]
A --> E[Responsible Disposal]
A --> F[Extended Producer Responsibility]
style A fill:#9cf,stroke:#333
Mnemonic: “3R’s
Question 5(c) [4 marks]#
Explain transistor as switch.
Answer:
Transistor can function as an electronic switch by operating in either cutoff (OFF) or saturation (ON) region.
Table: Transistor Switch Operation
| State | Condition | Behavior |
|---|---|---|
| OFF (Cutoff) | Base current = 0 | No collector current flows |
| ON (Saturation) | Base current sufficient | Maximum collector current flows |
Circuit Diagram:
graph LR
A[+Vcc] --- B[Rc] --- C[Collector]
C --- D[Emitter] --- E[Ground]
F[Vin] --- G[Rb] --- H[Base]
H --- D
style F fill:#9cf,stroke:#333
style A fill:#f96,stroke:#333
Working:
- When input is HIGH: Transistor saturates, acts like closed switch
- When input is LOW: Transistor cuts off, acts like open switch
Mnemonic: “No Base No Current, Apply Base Connect Circuit” (NBNC-ABC)
Question 5(d) [4 marks]#
Derive relation between α and β for CE configuration of transistor.
Answer:
In transistors, α (alpha) and β (beta) are current gain parameters.
Definitions:
- α = IC/IE (Common Base current gain)
- β = IC/IB (Common Emitter current gain)
Derivation: Since IE = IC + IB, we can write: α = IC/IE = IC/(IC + IB)
Dividing numerator and denominator by IB: α = (IC/IB)/[(IC/IB) + 1] = β/(β + 1)
Therefore: β = α/(1-α)
Table: Relationship between α and β
| Parameter | Formula | Typical Range |
|---|---|---|
| α from β | α = β/(β+1) | 0.9 to 0.99 |
| β from α | β = α/(1-α) | 50 to 300 |
Diagram:
graph TD
A[alpha = IC divided by IE] --- B[beta = IC divided by IB]
C[beta = alpha divided by 1 minus alpha] --- D[alpha = beta divided by beta plus 1]
style A fill:#9cf,stroke:#333
style B fill:#f96,stroke:#333
Mnemonic: “Beta equals Alpha divided by One minus Alpha” (BAOA)

