◆ CIRCUITS & CHIPS, DECODED FOR THE AI ERA 10 FREE CALCULATORS NO LOGIN · NO ADS · NO TRACKING BUILT FOR EE STUDENTS WORLDWIDE v0.1 LIVE
◆ CIRCUITS & CHIPS, DECODED FOR THE AI ERA 10 FREE CALCULATORS NO LOGIN · NO ADS · NO TRACKING BUILT FOR EE STUDENTS WORLDWIDE v0.1 LIVE
dB = 10 · log10(P1 / P2)
Quick reference
+3 dB · ×2 power · ×1.41 voltage
+6 dB · ×4 power · ×2 voltage
+10 dB · ×10 power · ×3.16 voltage
+20 dB · ×100 power · ×10 voltage
+40 dB · ×10⁴ power · ×100 voltage
+60 dB · ×10⁶ power · ×1000 voltage
power quantities: 10·log₁₀ · field/voltage quantities: 20·log₁₀

Why two formulas?

Power dB uses 10·log₁₀(P1/P2). Voltage (and other field quantities like current, sound pressure, electric field) uses 20·log₁₀(V1/V2). The factor of 2 comes from P ∝ V² in a fixed impedance.

The reason both produce "+3 dB ≈ double" depends on context: doubling power gives +3 dB, but doubling voltage (which quadruples power) gives +6 dB. Watch units, not just numbers.