Electronics

Comprehensive guide to electronic components, circuits, and systems.

Semiconductor Devices

Semiconductor devices are the building blocks of modern electronics. Key semiconductor devices include:

1. Diodes:

A diode is a two-terminal electronic component that conducts current primarily in one direction. The I-V characteristic of an ideal diode is:

I = I_s × (e^(V/V_T) - 1)

Where:

  • I_s = reverse saturation current
  • V_T = thermal voltage (≈ 26 mV at room temperature)

2. Transistors:

Bipolar Junction Transistors (BJTs) and Field-Effect Transistors (FETs) are the most common types of transistors.

For a BJT in active mode:

I_C = β × I_B

Where:

  • I_C = collector current
  • I_B = base current
  • β = current gain

For a MOSFET in saturation region:

I_D = (μ_n × C_ox × W/L) × (V_GS - V_TH)²/2

Where:

  • I_D = drain current
  • μ_n = electron mobility
  • C_ox = gate oxide capacitance per unit area
  • W/L = width-to-length ratio of the channel
  • V_GS = gate-to-source voltage
  • V_TH = threshold voltage

Operational Amplifiers

Operational amplifiers (op-amps) are high-gain voltage amplifiers with differential inputs. Common op-amp circuits include:

1. Inverting Amplifier:

V_out = -(R_f/R_in) × V_in

2. Non-inverting Amplifier:

V_out = (1 + R_f/R_in) × V_in

3. Summing Amplifier:

V_out = -(R_f/R_1 × V_1 + R_f/R_2 × V_2 + ... + R_f/R_n × V_n)

4. Differentiator:

V_out = -R_f × C × dV_in/dt

5. Integrator:

V_out = -(1/R_in × C) × ∫V_in dt

Where:

  • R_f = feedback resistor
  • R_in = input resistor
  • C = capacitor

Digital Electronics

Digital electronics deals with signals that have discrete values, typically represented as binary (0 and 1). Key concepts include:

1. Boolean Algebra:

Basic operations:

  • AND: A·B or A∧B
  • OR: A+B or A∨B
  • NOT: Ā or ¬A

2. Logic Gates:

Truth tables for basic gates:

AND Gate:

A B | Y

0 0 | 0

0 1 | 0

1 0 | 0

1 1 | 1

OR Gate:

A B | Y

0 0 | 0

0 1 | 1

1 0 | 1

1 1 | 1

NOT Gate:

A | Y

0 | 1

1 | 0

3. Sequential Logic:

Sequential logic circuits have memory and their outputs depend on both current and previous inputs. Examples include flip-flops and registers.

4. Combinational Logic:

Combinational logic circuits have outputs that depend only on the current inputs. Examples include multiplexers, decoders, and adders.