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Resistor Calculator

Resistor Formulas:

Series: \[ R_{total} = R_1 + R_2 + R_3 + \ldots \]
Parallel: \[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots \]

Ω
Ω
Ω

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1. What is a Resistor Calculator?

Definition: This calculator computes the total resistance in a circuit based on individual resistor values and their connection type (series or parallel).

Purpose: It helps electronics hobbyists, engineers, and students quickly determine circuit resistance without manual calculations.

2. How Does the Calculator Work?

The calculator uses Ohm's Law and series/parallel rules:

Series: \[ R_{total} = R_1 + R_2 + R_3 + \ldots \]
Parallel: \[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots \]

Explanation:

3. Importance of Resistance Calculation

Details: Proper resistance calculation ensures correct current flow, prevents component damage, and helps design functional circuits.

4. Using the Calculator

Tips: Enter at least two resistor values (Ω), optionally a third, and select connection type. All resistor values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between series and parallel?
A: Series connects resistors end-to-end (current flows through all). Parallel connects resistors side-by-side (current divides between them).

Q2: Why does parallel resistance decrease?
A: More parallel paths create more ways for current to flow, effectively reducing total resistance.

Q3: What if I have more than three resistors?
A: Calculate groups of resistors step by step or use our advanced circuit calculator.

Q4: How do I measure resistor values?
A: Use a multimeter or read the color codes on the resistor body.

Q5: Does this calculator work for AC circuits?
A: For purely resistive AC circuits, yes. For reactive components (inductors/capacitors), use our impedance calculator.

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