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RF bridge attenuation calculator

Bridged-Tee attenuator calculator

Calculate the fixed series arms, bridge resistor and shunt resistor for a symmetrical matched Bridged-Tee attenuator. Inspect preferred-value error, VSWR and total ideal power loss before implementation.

Flat isometric illustration of a four-resistor bridged-Tee attenuator network

Bridged-Tee inputs

Design a symmetrical bridged-Tee pad between equal real impedances.

Ω

The two ideal series arms each equal this value.

dB
W

Used for total ideal pad dissipation, not individual resistor ratings.

Calculated bridged network

Each fixed series arm

50 Ω

Equal to Z₀

Bridge resistor

108.1 Ω

Across input and output

Shunt resistor

23.12 Ω

Center node to ground

Nearest E24 starting point

Each series arm: 51 Ω
Bridge / shunt: 110 Ω / 24 Ω

Estimated attenuation: 9.942 dB
VSWR at design impedance: 1.021:1

If Z₀ is not an E24 value, rounding the fixed arms also changes the match. Use tighter series values or combinations where needed.

Ideal load power

100 mW

1:10 power ratio

Ideal pad dissipation

900 mW

Use as a lumped starting point

At RF, package parasitics, layout symmetry, ground inductance and resistor temperature coefficient can change attenuation and return loss.

Bridged-Tee network

Fixed series arms equal Z₀; the bridge and shunt set the ideal loss.

Z₀ = 50 Ω · R bridge × R shunt = Z₀²

Symmetrical bridged-Tee attenuator resistor networkTwo series resistors equal the system impedance, a resistor connects the center node to ground, and a fourth resistor bridges the input and output.InputOutputR bridgeZ₀ armZ₀ armR shunt
The bridge and shunt are reciprocal around Z₀: increasing one decreases the other for a matched ideal network.

How to design a Bridged-Tee pad

The symmetrical network uses two fixed series arms equal to Z₀ while the complementary bridge and shunt resistors set attenuation.

  1. 01

    Choose the equal port impedance

    The source and load must share the same real reference impedance for this closed-form design.

  2. 02

    Convert attenuation to K

    The requested positive dB loss is converted to the linear voltage ratio K = 10^(A/20).

  3. 03

    Calculate the bridge and shunt pair

    The bridge increases with attenuation while the shunt decreases; their product remains Z₀² in the ideal network.

  4. 04

    Verify available resistor values

    Round all four resistors deliberately and review the resulting loss and match rather than rounding the variable pair alone.

Symmetrical Bridged-Tee equations

Two series arms remain equal to Z₀. A resistor bridges the input and output, and another connects the center node to ground.

Voltage ratio

K = 10^(A dB / 20)

Each series arm

Rarm = Z₀

Bridge resistor

Rbridge = Z₀ × (K − 1)

Center shunt

Rshunt = Z₀ / (K − 1)

Complementary relationship

Rbridge × Rshunt = Z₀²

The bridge and shunt form a complementary pair around the fixed Z₀ arms. In the ideal matched model, changing both according to the equations changes attenuation without changing the nominal port impedance. Independent rounding breaks that exact relationship, which is why the calculator reports the realized E24 two-port result.

Do not treat the fixed-arm value or total pad dissipation as a complete component specification. RF layout, individual resistor stress, parasitics and tolerance tracking still require circuit-level verification.

Practical Bridged-Tee checks

The topology is attractive for variable or switched loss, but its match depends on coordinated resistor values and a physically symmetrical layout.

Realize Z₀ accurately

If the system impedance is not a preferred resistor value, use a tighter series or parallel realization for each fixed arm.

Keep bridge and shunt changes coordinated

The two variable elements must preserve their complementary relationship to maintain the nominal match.

Evaluate each resistor separately

Bridge, shunt and fixed arms can see different voltage and current stress even though the total pad loss is known.

Minimize shunt-path inductance

A long via or return path adds impedance and degrades high-frequency attenuation and return loss.

Verify with a VNA or appropriate fixture

Measure insertion loss and both port return losses across the intended band after layout and assembly.

Bridged-Tee attenuator questions

What makes a Tee attenuator bridged?

A fourth resistor connects across the input and output nodes above the underlying Tee network.

Why do the two series arms equal Z₀?

That fixed-arm condition, together with the complementary bridge and shunt pair, produces the symmetrical matched form used by this calculator.

Why does one resistor rise while the other falls?

Their product stays equal to Z₀². Increasing attenuation raises the bridge resistance and lowers the center shunt resistance.

Is a Bridged-Tee suitable for variable attenuation?

The topology is commonly used where two resistive elements can track together, but the control law, device parasitics and linearity must be verified in the real implementation.

Why can the E24 result have noticeable VSWR?

Rounding the fixed arms, bridge and shunt independently breaks the exact matched ratios. Use closer values or precision networks when return loss matters.