Short notes

Two-Port Network Parameters Short Notes

Pick up any BJT amplifier circuit — say a common-emitter stage with a 2N2222 — and the moment you want to characterise it without solving the entire internal network, you reach for two-port parameters. The network has an input port (base-emitter) and an output port (collector-emitter), and four parameters fully describe its behaviour for any source or load attached to it.

EEE, ECE, EI

How it works

Z-parameters are found by open-circuiting one port and driving the other with a known current; Z11 = V1/I1 with I2 = 0. Y-parameters do the dual: short-circuit a port, drive with voltage, measure current. The h-parameters mix the two — h11 is input impedance with output shorted, h21 is forward current gain (hFE for a BJT, typically 100–300). ABCD parameters, used in transmission line cascades, let you multiply matrices for each section so a 50 Ω coaxial segment simply becomes one 2×2 matrix in a chain.

Key points to remember

Six sets of parameters exist, but examiners almost always focus on Z, Y, h, and ABCD. Conversion between parameter sets is tested heavily — know that [Y] = [Z]⁻¹. For a reciprocal network, Z12 = Z21 and Y12 = Y21; symmetry adds Z11 = Z22. The h-parameter set is the favourite for transistor models because h21 directly gives current gain. ABCD parameters satisfy AD − BC = 1 for any reciprocal two-port — that determinant condition appears in every Anna University model paper.

Exam tip

The examiner always asks you to find h-parameters from a given Z-parameter set, so memorise the conversion table: h11 = ΔZ/Z22, h12 = Z12/Z22, h21 = −Z21/Z22, h22 = 1/Z22.

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