noellelks
Answered

A 210 Ohm resistor uses 9.28 W of
power. How much current flows
through the resistor?
(Unit = A)

Answer :

  • Resistance=R=210Ohm
  • Power=9.28W=P

Current=I

[tex]\boxed{\sf P=I^2R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{P}{R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{9.28}{210}[/tex]

[tex]\\ \sf\longmapsto I^2\approx0.04[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{0.04}[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{\dfrac{4}{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{\sqrt{4}}{\sqrt{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{2}{10}[/tex]

[tex]\\ \sf\longmapsto I\approx0.2A[/tex]

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