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Work, Energy And Power

Question
CBSEENPH11017156

Define power. State its SI and cgs units.

Solution

The rate of doing work is called power.
i.e.           P equals limit as increment t rightwards arrow 0 of fraction numerator capital delta W over denominator capital delta t end fraction equals fraction numerator d W over denominator d t end fraction

Since,       d W equals F with rightwards arrow on top times stack d s with rightwards arrow on top
∴               P equals fraction numerator d W over denominator d t end fraction equals F with rightwards arrow on top times fraction numerator stack d s with rightwards arrow on top over denominator d t end fraction equals F with rightwards arrow on top. v with rightwards arrow on top
The SI unit of power is Watt and cgs unit is erg/s.