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Three Resistors in Parallel Calculator

Parallel Resistance Formula:

\[ \frac{1}{R_{total}} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} \]

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1. What is a Three Resistors in Parallel Calculator?

Definition: This calculator determines the total resistance of three resistors connected in parallel in an electrical circuit.

Purpose: It helps engineers, technicians, and students quickly calculate equivalent resistance in parallel circuits.

2. How Does the Calculator Work?

The calculator uses the parallel resistance formula:

\[ \frac{1}{R_{total}} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} \]

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: Calculating parallel resistance is essential for designing circuits, predicting current flow, and ensuring proper voltage distribution.

4. Using the Calculator

Tips: Enter the resistance values for all three resistors in ohms. All values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What happens if one resistor is much smaller than others?
A: The total resistance will be close to the smallest resistor value, as it dominates the parallel combination.

Q2: How does parallel resistance compare to series resistance?
A: Parallel resistance is always less than the smallest individual resistor, unlike series where resistances add up.

Q3: What if I have more than three resistors?
A: The same formula extends to any number of resistors: 1/Rtotal = 1/R1 + 1/R2 + ... + 1/Rn.

Q4: Why can't resistance values be zero?
A: Zero resistance would create a short circuit, making the calculation undefined (division by zero).

Q5: How accurate are the results?
A: The calculator provides theoretical values. Real-world factors like temperature and resistor tolerance may affect actual measurements.

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