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LNGR SPKRHIFI. TWO WAYS. HANDCRAFTED.
Knowledge / From components to crossovers
LNGR · Learning workshop

Level matching with an L-pad

A sensitive tweeter does not have to remain louder than the woofer. Two resistors can reduce its level deliberately.

Rs + RpUout < Uin

Functional illustration · equations and topology in the text

Start without prior knowledgeUnderstand the model limitsDE / EN
01

The mental picture

Some electrical energy becomes heat rather than useful sound. An L-pad distributes that task between a series and a shunt resistor. In the ideal model it maintains constant input resistance while reducing driver voltage.

02

The principle

The series resistor lies in the signal path. The shunt resistor connects directly across the load. This design assumes a purely resistive load and keeps input resistance equal to that load value. A single series resistor behaves differently.

03

Try it yourself

Interactive experiment

Level matching with an L-pad

Compare 3, 6 and 12 dB attenuation. Watch resistor values and how much input power is dissipated by the two resistors together.

Model limits: Ideal L-pad into a resistive load. No frequency-dependent driver impedance or heating model.

04

A worked example

For 6 dB into 8 Ω, values are approximately 3.99 Ω series and 8.04 Ω shunt. Load voltage ratio is about 0.501, so only about one quarter of input power reaches the resistive load.

A closer look · equations and assumptions
Formula notes
k=10^{-\frac{A_{\mathrm{dB}}}{20}}
R_s=R(1-k)
R_p=\frac{Rk}{1-k}
\frac{P_{\mathrm{load}}}{P_{\mathrm{in}}}=k^2

For this design, PRs/Pin = 1−k and PRp/Pin = k(1−k). This lets you assess heating separately. With frequency-dependent driver impedance, attenuation is not exactly constant. Placing the pad before or after a filter also changes loading.

A common pitfall. The plotted power is an electrical model quantity, not a direct music-power rating for a particular resistor.

05

Workshop takeaway

Match levels, then measure the whole crossover again. A correctly calculated L-pad does not guarantee the right acoustic transition.

Sources & transparency

Original illustrations and educational calculations. No measurements of a specific product. Edited 11 October 2026.

Work it out · answers unfold

Write down your prediction first, then your calculation. Open the answer only when you are ready to compare.

10 · A branch should be attenuated by 6 dB in voltage magnitude. Find the ratio.

Show worked answer
  1. Convert dB back to voltage ratio.
  2. k = 10^(-6/20).
  3. k = 0.5012.
Calculation
k=10^{-6/20}=0.5012

11 · Constant-input-resistance L-pad: load 8 Ω, k = 0.5. Find series and shunt resistors. Shunt is across load.

Show worked answer
  1. Series R = R(1-k) = 4 Ω.
  2. Shunt R = Rk/(1-k) = 8 Ω.
  3. 8 Ω parallel 8 Ω = 4 Ω, plus 4 Ω = 8 Ω.
Calculation
R_s=R(1-k);\quad R_p=\frac{Rk}{1-k}

12 · The L-pad in task 11 receives 8 V. Find load power and both resistor dissipations.

Show worked answer
  1. Source current = 8/8 = 1 A.
  2. Series resistor: 4 W; output: 4 V.
  3. Load and shunt resistor each dissipate 2 W.
Calculation
P_s=4\,W;\quad P_p=P_L=\frac{4^2}{8}=2\,W

17 · A measured peak at 2 kHz is 4 dB above target. What voltage ratio is needed for ideal local correction?

Show worked answer
  1. Correction is -4 dB.
  2. Ratio = 10^(-4/20).
  3. Ratio = 0.6310; bandwidth and phase must also fit.
Calculation
k=10^{-4/20}=0.6310

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