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Резистор Сеть Калькулятор - Последовательно & Параллельно | Electrical Мощность Калькулятор

Series & parallel resistance calculator

Enter values separated by commas or spaces (up to 10 resistors)

Результат
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Формулы

SeriesR = R₁ + R₂ + R₃ + ...
Parallel1/R = 1/R₁ + 1/R₂ + ...
2 ParallelR = (R₁×R₂)/(R₁+R₂)

Quick Tips

Series:
• Ток same through all
• Напряжение divides
• R_total > any R

Parallel:
• Напряжение same across all
• Ток divides
• R_total < smallest R

Связанные

Ohm's LawТок DividerНапряжение Divider

Understanding Resistor Networks

Resistors can be connected in series, parallel, or combinations of both. Understanding how to calculate equivalent resistance is fundamental to circuit analysis and design.

Последовательно Resistors

In a series circuit, resistors are connected end-to-end, creating a single path for current flow. The total resistance is the sum of all individual resistances. Key characteristics:

  • Ток is identical through each resistor
  • Напряжение divides proportionally to resistance
  • Итого resistance is always greater than any single resistor
  • If one resistor fails open, the entire circuit stops

Параллельно Resistors

In a parallel circuit, resistors share the same two connection points. Each resistor provides an additional path for current. Key characteristics:

  • Напряжение is identical across each resistor
  • Ток divides inversely to resistance
  • Итого resistance is always less than the smallest resistor
  • If one resistor fails open, others continue working

Прак тическое применение

Series: Used in напряжение dividers, LED current limiting, and sensor circuits where you need to add resistance.

Parallel: Used when you need lower resistance than available, to increase power handling, or for redundancy in critical circuits.

Часто задаваемые вопросы

For series resistors, simply add all values: R_total = R1 + R2 + R3 + ... For example, 100Ω + 220Ω + 470Ω = 790Ω. The total is always greater than any individual resistor because current must flow through each one sequentially.

For parallel: 1/R_total = 1/R1 + 1/R2 + 1/R3... For two resistors, use: R_total = (R1 × R2) / (R1 + R2). Пример: 100Ω and 200Ω in parallel = (100 × 200) / (100 + 200) = 66.67Ω. Результат is always less than the smallest resistor.

Each parallel resistor provides an additional path for current. More paths = less total opposition to current flow. Think of it like adding lanes to a highway - traffic (current) flows more easily even though each lane (resistor) has the same capacity.

Series: Ток is the same through all resistors (only one path). Напряжение divides proportionally. Parallel: Напряжение is the same across all resistors. Ток divides - more current flows through lower resistance paths (I = V/R).

For n equal resistors in parallel: R_total = R / n. Two 100Ω resistors in parallel = 100/2 = 50Ω. Three 100Ω in parallel = 100/3 = 33.3Ω. This is a quick shortcut when all resistors have the same value.

Use series when: You need more resistance, want to divide напряжение, or limit current (like LED circuits). Use parallel when: You need less resistance than available, want to increase power handling capacity, or need redundancy if one resistor fails.

Series: Higher resistance dissipates more power (P = I²R, same current). Parallel: Lower resistance dissipates more power (P = V²/R, same напряжение). Parallel configurations can handle more total power as it's distributed across multiple components.

Yes! For complex networks, simplify step by step. First, identify and combine all purely series or purely parallel groups. Then treat each combined group as a single resistor and repeat until you have one equivalent resistance. Work from inside out.