Given hi e=2.4 k Ω, hf e=100, hr e=4 ×10^-4, and ho e=25 μS, sketch the following: a. Common-emi

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Given hi e=2.4 k Ω, hf e=100, hr e=4 ×10^-4, and ho e=25 μS,...

Given $h_{i e}=2.4 \mathrm{k} \Omega, h_{f e}=100, h_{r e}=4 \times 10^{-4}$, and $h_{o e}=25 \mu \mathrm{S}$, sketch the following: a. Common-emitter hybrid equivalent model. b. Common-emitter $r_{e}$ equivalent model. c. Common-base hybrid equivalent model. d. Common-base $r_{e}$ equivalent model.

Given $h_{i e}=2.4 \mathrm{k} \Omega, h_{f e}=100, h_{r e}=4 \times 10^{-4}$, and $h_{o e}=25 \mu \mathrm{S}$, sketch the following:
a. Common-emitter hybrid equivalent model.
b. Common-emitter $r_{e}$ equivalent model.
c. Common-base hybrid equivalent model.
d. Common-base $r_{e}$ equivalent model.

Key Concepts

Common-Base Configuration

The common-base configuration features the base terminal common to both input and output circuits. It is characterized by low input impedance and high voltage gain, making it suitable for certain high-frequency applications. Equivalent circuit models for common-base configurations are derived based on the hybrid parameters and other small-signal resistances, aiding in the design and analysis of these circuits.

Hybrid Parameters

Hybrid parameters (h-parameters) are a set of four parameters used to model the small-signal behavior of transistors. They relate voltages and currents at the input and output terminals and provide a convenient way to represent the transistor in various configurations. The parameters include the input impedance (h_ie), current gain (h_fe), reverse voltage gain (h_re), and output admittance (h_oe), which help in analyzing and designing circuits involving active devices.

Small-Signal Equivalent Circuit Models

Small-signal equivalent circuits are simplified representations of amplifiers that model the behavior of the circuit for small variations around a bias point. These models allow linear analysis of the circuit by replacing nonlinear elements with equivalent linear components such as resistors, current sources, and controlled sources, making it easier to predict the amplifier's response to AC signals.

Common-Emitter Configuration

The common-emitter configuration is one of the most widely used transistor configurations in amplification applications. In this configuration, the emitter terminal is common to both the input and the output circuits. Its equivalent models, such as the hybrid equivalent model and the r_e equivalent model, facilitate the analysis of voltage gain, input resistance, and output resistance in amplifier circuits.

Model Equivalents Using r_e

The r_e equivalent model represents the transistor's behavior by focusing on the emitter resistance, r_e, which simplifies the transistor's representation for specific analysis purposes. In both common-emitter and common-base configurations, replacing complex h-parameter models with r_e equivalents can make it easier to understand the intrinsic resistance effects on the amplifier’s performance, especially when dealing with the emitter degeneration and input matching.

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