03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器C (pF) = (ε_r × ε₀ × A) / d

平行板电容器电容量计算器

根据 C = ε_r × ε₀ × A / d 求解电容量(皮法 pF)、相对介电常数、极板正对面积或极板间距。

C (pF) = (ε_r × ε₀ × A) / d
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: C (pF) — Capacitance (pF)
计算结果

Capacitance in picofarads (10⁻¹² Farads)

0.11,000,000.00
unit

Dielectric permittivity relative to vacuum (FR-4 ≈ 4.4)

15,000.00
unit

Effective facing electrode area in square centimeters

0.0110,000.00
unit

Separation distance between plates in millimeters

0.001100
unit
计算结果 · Capacitance (pF) (C (pF))
389.5843

分步代入计算过程

01Canonical Law: C (pF) = (ε_r × ε₀ × A) / d
02Given Inputs (Base Units): ε_r = 4.4, A (cm²) = 100, d (mm) = 1
03Solve for C (pF) (Capacitance (pF)): C (pF) = 389.58

A parallel-plate capacitor stores electrostatic charge proportional to its relative dielectric permittivity ε_r and conductive plate overlap area A, and inversely proportional to dielectric thickness d.

常见参考标准值

FR-4 PCB Power/Ground Planeε_r = 4.3 – 4.6

0.1 mm prepreg yields ~39 pF/cm² interplane decoupling

PTFE / Teflon High-Freq Substrateε_r = 2.1

Low dielectric loss tangent for RF/microwave traces

X7R / BaTiO₃ Ceramic MLCCε_r = 1,500 – 3,500

Enables multi-microfarad capacitance in 0402/0603 packages

20 行数值对照表

Capacitance (pF) (C (pF)) · Relative Dielectric Constant (ε_r)

Parallel Plate Capacitor Capacitance Calculator — Relative Dielectric Constant → Capacitance (pF)
#Relative Dielectric Constant (ε_r)Capacitance (pF) (C (pF))Δ %
014.4 当前389.5843 0.00%
0237.3559 3,307.56 +749.00%
0373.7118 6,526.58 +1575.27%
04110.0678 9,745.61 +2401.54%
05146.4237 12,964.63 +3227.81%
06182.7796 16,183.65 +4054.08%
07219.1355 19,402.67 +4880.35%
08255.4914 22,621.69 +5706.62%
09291.8474 25,840.71 +6532.89%
10328.2033 29,059.74 +7359.17%
11364.5592 32,278.76 +8185.44%
12400.9151 35,497.78 +9011.71%
13437.2711 38,716.80 +9837.98%
14473.627 41,935.82 +10664.25%
15509.9829 45,154.84 +11490.52%
16546.3388 48,373.86 +12316.79%
17582.6947 51,592.89 +13143.06%
18619.0507 54,811.91 +13969.33%
19655.4066 58,030.93 +14795.60%
20691.7625 61,249.95 +15621.87%
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常见问题解答 (FAQ)

如何使用在线 平行板电容器电容量计算器 工具?+

输入已知参数或拖动滑块,即可在浏览器中实时计算并可视化 平行板电容器电容量计算器(基于关系式 C (pF) = (ε_r × ε₀ × A) / d)。根据 C = ε_r × ε₀ × A / d 求解电容量(皮法 pF)、相对介电常数、极板正对面积或极板间距。

可以导出或打印 平行板电容器电容量计算器 的结果吗?+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 平行板电容器电容量计算器 中的示例数据并从空白状态开始吗?+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项,随时也可一键重新加载示例数据。