1kΩ and 10kΩ in parallel = 909.09Ω

Worked answer for a 1kΩ and a 10kΩ resistor wired in parallel.

Equivalent resistance 909.09Ω 1kΩ and 10kΩ in parallel
Resistor 1 (R1)1kΩ
Resistor 2 (R2)10kΩ
Connection modeparallel
FormulaR = 1 / (1/R1 + 1/R2)
Equivalent resistance909.09Ω

Resistors in parallel always give an equivalent resistance smaller than the smallest resistor in the group.

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Disclaimer: This is the ideal equivalent resistance. Real resistors have a tolerance (typically ±1% to ±5%), so the measured value will vary slightly. Confirm against your components' tolerance band when precision matters.

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