Current through a 10kΩ resistor at 12V

Worked answer for 12V applied across a 10kΩ resistor, using Ohm's law (I = V/R) and power (P = V²/R).

Current 1.2 mA 12V ÷ 10kΩ · dissipates 14.4 mW
Voltage (V)12 V
Resistance (R)10kΩ
Current I = V / R1.2 mA
Power P = V² / R14.4 mW

Driving 12V through 10kΩ gives 1.2 mA of current (I = V/R) and the resistor must dissipate 14.4 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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