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The calculator will use the parallel resistance formula to calculate the parallel load resistance of the circuit
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This Parallel Resistor Calculator calculates the equivalent resistance or a missing resistor value in a parallel combination of resistors. Simply enter the values of the individual resistors connected in parallel, and the tool will instantly compute the result along with detailed calculation steps.
Our online parallel resistor calculator is simple, accurate, and user-friendly. It allows you to quickly determine either the equivalent resistance of a parallel network or an unknown resistor value.
How to Use:
Output:
A resistor is said to be in parallel when its terminals are connected to the same two nodes as other resistors in the circuit.
In a parallel circuit:
This calculator helps you analyze and design parallel resistor networks efficiently.
The equivalent resistance of resistors connected in parallel is calculated using:
$$ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n} $$
Taking the reciprocal gives:
$$ R_{eq} = \frac{1}{\left(\frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n}\right)} $$
Important: The formula 1/Req = 1/(R₁ + R₂ + ... + Rₙ) is incorrect. In parallel circuits, we always add the reciprocals of each resistance.
Find the equivalent resistance of three resistors connected in parallel:
Using the formula:
$$ \frac{1}{R_{eq}} = \frac{1}{10} + \frac{1}{2} + \frac{1}{1} $$
$$ \frac{1}{R_{eq}} = 0.1 + 0.5 + 1 $$
$$ \frac{1}{R_{eq}} = 1.6 $$
$$ R_{eq} = \frac{1}{1.6} = 0.625\ \Omega $$
The equivalent resistance is 0.625 Ω.
Find the equivalent resistance of the following parallel resistors:
Using:
$$ \frac{1}{R_{eq}} = \frac{1}{25} + \frac{1}{52} + \frac{1}{785} + \frac{1}{65} $$
$$ \frac{1}{R_{eq}} \approx 0.04 + 0.01923 + 0.001274 + 0.015385 $$
$$ \frac{1}{R_{eq}} \approx 0.075889 $$
$$ R_{eq} = \frac{1}{0.075889} \approx 13.17\ \text{kΩ} $$
The equivalent resistance is approximately 13.17 kΩ.
Adding more resistors in parallel provides additional paths for current flow. This increases total current while maintaining constant voltage across each branch. As a result, the total resistance decreases.
Two resistors are in parallel if both of their terminals connect to the same two nodes in a circuit. They are commonly represented as (R₁ || R₂).
Yes. In a parallel circuit, voltage across each resistor is identical, while the current divides among the branches according to Ohm’s Law.
Household electrical wiring uses parallel connections so that appliances operate independently. If one device fails or is turned off, others continue functioning without affecting the overall voltage supply.
From Wikipedia: Series and parallel circuits, Parallel circuits, Combining conductances.
From Khan Academy: Resistors in series and parallel.
From Lumen Learning: Resistors in Series and Parallel.
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