1.

Derive an equation for electric power

Answer»

SoluTion:

Power = Rate of consumption of ENERGY.

\implies P = \sf{\dfrac{E}{t}}

Where, E is energy and t is time.

Energy can be changed into useful work, so we can WRITE above expression as :

\implies P = \sf{\dfrac{<klux>W</klux>}{t}}

We know that, W = V.Q [ where V is POTENTIAL difference and Q is charge ]

\implies P = \sf{\dfrac{V.Q}{t}}

Also, \sf{\dfrac{Q}{t}} = I [ CURRENT ]

\implies \large{\boxed{\red{\sf{P\:=\:V.I}}}}

\rule{200}2

  • Power is rate of doing work.
  • Power can also be said as rate of consumption of energy.
  • It's S.I unit is watt.


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