01
Bode Plots & Frequency Response
Plotting amplifier gain and filter cutoff frequencies across 3 to 5 frequency decades (10 Hz to 1 MHz).
Kertas Teknik & Keteknikan
paper.semi-log
paper.semi-log.desc
A4 Portrait · 210 × 297 mm
100%
Skala fisik 1:1 akurat. Ukur kotak kalibrasi 50 mm pada lembaran cetak.
CSS: 96 DPIBagian 02 — Prinsip Matematis
Fondasi Geometris dan Formula Koordinat
Logarithmic Spacing Formula
Semi-logarithmic paper features one logarithmic axis and one linear axis. Within each decade interval [1, 10], line spacing contracts proportionally to log10(k), allowing exponential functions y = a · e^(bx) to plot as straight linear lines.
Rumus:
d(k) = D · log10(k), k ∈ {1, 2, 3, ..., 10}; Decade width = DAsal-usul Sejarah & Evolusi Ilmiah
Semi-logarithmic paper was developed in the late 19th century to linearize power and exponential data before digital computers, becoming a staple in acoustics, epidemiology, and electronics (Bode plots).
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Bagian 03 — Penerapan Praktis
Penerapan Nyata di Dunia Industri & Akademik
02
Radioactive Decay & Half-Life Curves
Tracking isotope decay rates where exponential decay N(t) = N0 · e^(-λt) appears as a straight line with slope -λ.
03
Epidemiological Growth Rates
Analyzing early virus reproduction rates and bacterial culture population doubling times.
04
Financial Interest & Inflation Tracking
Plotting compound interest growth and long-term equity valuations over multiple decades.
Bagian 04 — Panduan Menggambar
Panduan Langkah demi Langkah untuk paper.semi-log
LANGKAH 01
Label the Logarithmic Decades
Assign power-of-ten multipliers to each decade marker along the log axis (e.g. 10⁰ = 1, 10¹ = 10, 10² = 100, 10³ = 1000).
LANGKAH 02
Scale the Linear Axis
Assign uniform arithmetic steps along the linear axis (e.g. time in hours, or voltage in volts).
LANGKAH 03
Plot Log-Linear Data Pairs
For a point (x, y), find x along the logarithmic decades using the intermediate tick marks (2, 3, 4... 9), then align with y on the linear scale.
LANGKAH 04
Evaluate Exponential Slope
Because exponential curves plot as straight lines, you can calculate the rate constant directly from the linear slope.
Bagian 05 — Kalibrasi Printer
Panduan Penyetelan Printer & Skala Sebenarnya
Memastikan Akurasi Skala Fisik 1:1 Nyata
Ensure decade spacing is exact. A true decade must measure uniformly across all cycle repeats.
- Di jendela cetak, pilih Skala: 100% atau Ukuran Sebenarnya.
- Nonaktifkan 'Fit to Printable Area' agar ukuran kotak tidak menyusut.
- Ukur batang kalibrasi 50 mm pada margin bawah cetakan dengan penggaris fisik.
Bagian 06 — Pertanyaan Umum
Pertanyaan yang Sering Diajukan (FAQ)
Why do lines bunch together within each decade?
The distance from 1 to 2 represents log10(2) ≈ 0.301 of the cycle, while the distance from 8 to 9 represents log10(9/8) ≈ 0.051. This nonlinear compression reflects logarithmic scale mathematics.
How many decades are included on this sheet?
Our standard template provides 4 full logarithmic decades along the horizontal axis with a 20-division linear vertical axis.
Can semi-log paper plot negative numbers?
No. The logarithm of zero or a negative number is undefined (log10(x) → -∞ as x → 0+). Data on the log axis must be strictly positive.
What is the difference between semi-log and log-log paper?
Semi-log paper has one logarithmic axis and one linear axis. Log-log paper features logarithmic scaling on both axes.
Buka di Studio Virtual — paper.semi-log
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