Short notes

h-Parameter Model BJT Short Notes

When analysing a BC107 common emitter amplifier using small-signal equivalent circuits, the h-parameter model replaces the transistor with four measurable parameters that can be read directly from the datasheet: the input impedance hie, the current gain hfe, the reverse voltage ratio hre, and the output conductance hoe. This model is what every standard exam numerical on BJT amplifier analysis is built around.

EEE, ECE, EI

How it works

The h-parameter (hybrid parameter) model represents the transistor as a two-port network. For the CE configuration, the input port equation is: v1 = hie × i1 + hre × v2, and the output port equation is: i2 = hfe × i1 + hoe × v2. Here hie is input impedance (typically 1–2 kΩ), hfe is forward current gain (β, typically 100–300), hre is the reverse voltage feedback ratio (very small, ~10⁻⁴, usually neglected), and hoe is output conductance (typically 25 μS). Voltage gain AV = −hfe × ZL / (hie + (1 − hre×hfe)×ZL); for practical analysis hre is set to zero, simplifying to AV = −hfe × ZL / hie. Input impedance Zi = hie when source is ideal.

Key points to remember

The four h-parameters for CE configuration: hie (input impedance, ~1 kΩ), hfe (forward current gain = β), hre (reverse voltage ratio, ~10⁻⁴, neglected in most calculations), hoe (output admittance, ~25 μS; its reciprocal 1/hoe ≈ 40 kΩ appears in parallel with RL). Simplified voltage gain: AV = −hfe × RL′/hie where RL′ = RC ∥ (1/hoe). Current gain: AI = −hfe/(1 + hoe × RL). These parameters change with operating point — hfe at IC = 2 mA differs from hfe at IC = 10 mA, so the Q-point must always be specified before h-parameters are applied. Conversion between CB, CE, and CC configurations is a common exam problem.

Exam tip

The examiner always asks you to draw the h-parameter equivalent circuit of a CE amplifier and derive expressions for voltage gain and input impedance — label all four h-parameters on the diagram even if hre is later neglected.

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