Current through a 10kΩ resistor at 9V

Worked answer for 9V applied across a 10kΩ resistor, using Ohm's law (I = V/R) and power (P = V²/R).

Current 0.9 mA 9V ÷ 10kΩ · dissipates 8.1 mW
Voltage (V)9 V
Resistance (R)10kΩ
Current I = V / R0.9 mA
Power P = V² / R8.1 mW

Driving 9V through 10kΩ gives 0.9 mA of current (I = V/R) and the resistor must dissipate 8.1 mW of heat (P = V²/R). Pick a resistor power rating comfortably above that figure.

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Disclaimer: This is a reference estimate using ideal Ohm's law. Real components have tolerance and self-heating; verify against your part's datasheet and power rating before building.

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