Answer to Question #169074 in Mechanics | Relativity for Omebere Emmanuel

Question #169074

A lamp is mapped 12v,24w.how many joules does it consume in an hour and what is the current it passes?


1
Expert's answer
2021-03-08T08:28:30-0500

Explanations & Calculations


  • The description on the lamp says that the lamp consumes/performs at a power of 24Watts when it is provided with 12V.
  • Therefore, to do the needed calculations, assume the lamp is performing at full power: 24W


  • Watts (W) is Joules per second (J/s), therefore, energy consumed over a period of one hour is

"\\qquad\\qquad\n\\begin{aligned}\n\\small E&= \\small power \\times time\\\\\n&= \\small 24W\\times 1\\times 3600s\\\\\n&= \\small \\bold{86400J}\n\\end{aligned}"

  • If the current pass through the lamp is "\\small i", then using the relationship "\\small Power=Vi"

"\\qquad\\qquad\n\\begin{aligned}\n\\small i&= \\small \\frac{24W}{12V}\\\\\n&= \\small \\bold{2A}\n\\end{aligned}"


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