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Resistor Calculator Series Parallel

Total Resistance Formula:

\[ R_{total} = R_s + \frac{1}{\sum \frac{1}{R_p}} \]

ohms
ohms (comma separated)
ohms

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1. What is a Series-Parallel Resistor Calculator?

Definition: This calculator computes the total resistance of resistors connected in both series and parallel configurations.

Purpose: It helps electronics engineers, technicians, and hobbyists determine the equivalent resistance of complex resistor networks.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{total} = R_s + \frac{1}{\sum \frac{1}{R_p}} \]

Where:

Explanation: The series resistor adds directly to the total, while parallel resistors follow the reciprocal sum formula.

3. Importance of Resistor Network Calculation

Details: Accurate resistance calculation is crucial for circuit design, current/voltage calculations, and ensuring proper component operation.

4. Using the Calculator

Tips: Enter the series resistance value (0 if none) and comma-separated parallel resistor values. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if I only have series resistors?
A: Enter the total series resistance and leave parallel field blank or enter 0.

Q2: What if I only have parallel resistors?
A: Enter 0 for series resistance and your parallel resistor values.

Q3: Can I mix different units?
A: No, all resistor values must be in the same unit (ohms).

Q4: What's the minimum number of parallel resistors needed?
A: The calculator works with one or more parallel resistors.

Q5: How does this differ from pure series or parallel calculators?
A: This handles combined configurations where some resistors are in series and others are in parallel.

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