Decibel Conversions (Power & Voltage Ratios) — Notebook Template
Convert ratios to dB and back. Includes 10·log10 for power and 20·log10 for voltage ratios with quick checks.
What this template does
This is a ready-to-run GetCalcMaster Notebook starter. Open it into Notebook, run once with defaults, then tweak inputs and keep your assumptions next to the math.
How to use it (recommended)
- Open in Notebook.
- Choose whether you're working with power ratio or voltage ratio.
- Compute dB using log10.
- Invert dB back to ratio to verify.
- Record reference assumptions (what is '0 dB' in your context).
Tip: When a result matters, verify it twice: a unit check + a second method (graph/estimate).
Preview (first cells)
This preview is for readability. The full template loads into Notebook when you click Open.
TEXT
# Decibel Conversions Common formulas: Power ratio: - **dB = 10·log10(P2/P1)** - **P2/P1 = 10^(dB/10)** Voltage ratio (same impedance): - **dB = 20·log10(V2/V1)** - **V2/V1 = 10^(dB/20)**
MATH
P_ratio = 2 # P2/P1
MATH
dB_power = 10 * log10(P_ratio)
MATH
P_ratio_back = 10^(dB_power/10)
MATH
dB_power
MATH
P_ratio_back - P_ratio