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Calculate the current passing through a resistor of 500 Ω if the power consumed in it is 0.8 W.

  • A.10 mA
  • B.20 mA
  • C.40 mA
  • D.80 mA

Answer: C

The current is 40 mA. The power consumed in a resistor is P = I²R, so the current is found from the power and the resistance.

\[ I = \sqrt{\frac{P}{R}} = \sqrt{\frac{0.8}{500}} \]

\[ = \sqrt{0.0016} = 0.04\ \text{A} \]

That is 40 mA. The values 10 mA, 20 mA and 80 mA do not give 0.8 W in 500 Ω: for example 20 mA gives only 0.2 W, and 80 mA gives 3.2 W. So the third option is correct.

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