ما الجديد

Preferred-Value Synthesiser

Fundamentals

The closest single part, series pair and parallel pair from an E-series, ranked by error.

هذه الصفحة غير مترجمة بالكامل بعد. الأجزاء غير المترجمة معروضة بالإنجليزية.

المدخلات

Ω
3.83 kΩ
Stocked range
Ω
Ω
1 MΩ

النتائج

Best combination 

= 3.832 kΩ, 0.054 % from target

3.9kΩ ∥ 220kΩ
Nearest single (E24) 

1.83 % error

3.9kΩ
كل النتائج (1)
Target
3.83kΩ
Ranked candidates
TopologyRaRbResultError
Single3.9 kΩ—3.9 kΩ1.828 %
Series220 Ω3.6 kΩ3.82 kΩ−0.261 %
Parallel3.9 kΩ220 kΩ3.832 kΩ0.054 %

المسح البارامتري

غيّر مدخلاً واحداً على مدى، وشاهد الإجابة والحكم والهامش عند كل خطوة، جدولاً ومنحنى.Pro

Circuit

المبدأ

Preferred values form a geometric series: each decade of En has n steps of equal ratio, and each series carries a tolerance of roughly half its step. E24 steps about 10 % (±5 %); E96 about 2.4 % (±1 %).

k-th value of series En
Rk=10 k/nk=0,1,…,n−1R_k = 10^{\,k/n} \qquad k = 0,1,\dots ,n-1
Rounded to 2 or 3 significant figures; a few E24 values depart from the formula.
Step ratio
Rk+1Rk=101/n  ⇒  E24: 1.10E96: 1.024\frac{R_{k+1}}{R_k} = 10^{1/n} \;\Rightarrow\; \t{E24: 1.10}\quad \t{E96: 1.024}
Synthesis
Rser=Ra+RbRpar=RaRbRa+RbR_{ser} = R_a + R_b \qquad R_{par} = \frac{R_a R_b}{R_a + R_b}
تفاصيل إضافية

When a pair is worth it

  • Worth it where a ratio matters (feedback dividers, gain, timing) and the two parts track: same type, same reel, placed side by side.
  • Not worth it for absolute accuracy: two ±5 % parts still make ±5 %. An E96 1 % part usually costs about the same.
Stocking rule. E24 for non-critical work, E96 1 % thin film for feedback paths. Every extra part is another placement and another joint.
Reference: IEC 60063, preferred number series for resistors and capacitors.

إصدار المحرك ⁨1.26.4⁩