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Parallel Resistor Calculator by DigiKey

Parallel Resistance Formula:

\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots \]

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1. What is a Parallel Resistor Calculator?

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

Purpose: It helps engineers, technicians, and hobbyists quickly calculate the total resistance in parallel circuits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots \]

Where:

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

3. Importance of Parallel Resistance Calculation

Details: Accurate parallel resistance calculations are essential for circuit design, current flow predictions, and ensuring proper voltage division.

4. Using the Calculator

Tips: Enter at least two resistor values (required). You can calculate with up to four resistors. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter equal resistors in parallel?
A: For N equal resistors R, the total resistance is R/N. For example, two 100Ω resistors give 50Ω total.

Q2: How does parallel resistance compare to series?
A: Parallel resistance is always less than the smallest resistor, while series adds up resistances.

Q3: What if I only enter one resistor?
A: The calculator requires at least two resistors for parallel calculation.

Q4: Can I calculate more than four resistors?
A: This calculator handles up to four, but you could chain calculations for more resistors.

Q5: What about parallel resistors with different power ratings?
A: This calculator only determines equivalent resistance, not power handling capacity.

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