Power
Category : JEE Main & Advanced
Power of a body is defined as the rate at which the body can do the work.
Average power \[({{P}_{\text{av}\text{.}}})=\frac{\Delta W}{\Delta t}=\frac{W}{t}\]
Instantaneous power \[({{P}_{\text{inst}\text{.}}})=\frac{dW}{dt}\]\[=\frac{\vec{F}.\,d\vec{s}}{dt}\] [As \[dW=\vec{F}.\,d\vec{s}\]]
\[{{P}_{\text{inst}}}=\vec{F}.\,\vec{v}\] [As \[\vec{v}=\frac{d\vec{s}}{dt}\]]
i.e. power is equal to the scalar product of force with velocity.
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