Question #184377

How much is the power of an appliances of 500hm resistance working with 200v supply


1
Expert's answer
2021-04-23T11:06:56-0400

Explanations & Calculations


  • The power of a device is basically given by the equation P=Vi\small P=Vi.
  • And with the use of the equation V=iR\small V=iR, another two ways of expressing the same equation can be obtained as P=V2RP=i2RP=\frac{V^2}{R}\qquad P=i^2 R
  • According to the available data, any suitable form should be chosen.


  • Knowns — V=200V\small V= 200V and R=50Ω\small R= 50\,\Omega


  • Then using the form: P=V2R\small P=\frac{V^2 }{R}, the power could be found.

P=(200V)250Ω=800W\qquad\qquad \begin{aligned} \small P &=\small \frac{(200V)^2}{50\Omega}\\ &=\small \bold{800\,W} \end{aligned}




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