Home Back

Parallel Circuit Resistor Calculator

Parallel Resistance Formula:

\[ \frac{1}{R_{total}} = \sum \frac{1}{R} \]

ohms

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is a Parallel Circuit Resistor Calculator?

Definition: This calculator computes the equivalent resistance of resistors connected in parallel.

Purpose: It helps electronics engineers, students, and hobbyists determine the total resistance in parallel circuits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \frac{1}{R_{total}} = \sum \frac{1}{R} \]

Where:

Explanation: The reciprocal of the total resistance equals the sum of the reciprocals of all individual resistances.

3. Importance of Parallel Resistance Calculation

Details: Accurate parallel resistance calculation is crucial for circuit design, current flow prediction, and component selection.

4. Using the Calculator

Tips: Enter resistor values separated by commas (e.g., "100, 200, 300"). All values must be > 0 ohms.

5. Frequently Asked Questions (FAQ)

Q1: Why does parallel resistance decrease?
A: Adding parallel paths gives current more ways to flow, effectively reducing total resistance.

Q2: What's the special case for two resistors?
A: For two resistors, \( R_{total} = \frac{R1 \times R2}{R1 + R2} \).

Q3: What happens if one resistor is 0 ohms?
A: The total resistance becomes 0 ohms (short circuit).

Q4: How do identical resistors simplify?
A: For N identical resistors R, \( R_{total} = \frac{R}{N} \).

Q5: Does order matter in parallel connections?
A: No, resistors can be connected in any order in parallel.

Parallel Circuit Resistor Calculator© - All Rights Reserved 2025