Parallel Resistor Formula:
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Definition: This calculator determines the value of an unknown resistor (R1) when you know the total parallel resistance (Rtotal) and the value of another resistor (R2).
Purpose: It helps electronics engineers and hobbyists find missing resistor values in parallel circuits.
The calculator uses the formula:
Where:
Note: R2 must be greater than Rtotal for a valid solution.
Details: Accurate resistor values are crucial for proper circuit operation, voltage division, and current limiting in electronic designs.
Tips: Enter the total parallel resistance and the known resistor value. Both must be positive numbers, and R2 must be greater than Rtotal.
Q1: Why must R2 be greater than Rtotal?
A: In parallel circuits, the total resistance is always less than the smallest resistor. Therefore, R2 must be greater than Rtotal for a valid solution.
Q2: What if I get negative or infinite values?
A: This indicates invalid input - either R2 ≤ Rtotal or one of the values is zero.
Q3: Can I use this for more than two resistors?
A: No, this calculator is specifically for finding one unknown resistor in a two-resistor parallel combination.
Q4: How precise should my input values be?
A: Use the actual measured values for best results. Resistor tolerance (usually 1-5%) will affect accuracy.
Q5: What's the practical application of this calculation?
A: Useful when designing circuits where you need a specific total resistance but have limited resistor values available.