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Define electric power. An electrical device of resistance R is connected across a source of voltage V and draws a current I. Derive an expression for power in terms of current and resistance. - Science

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प्रश्न

Define electric power. An electrical device of resistance R is connected across a source of voltage V and draws a current I. Derive an expression for power in terms of current and resistance.

संक्षेप में उत्तर

उत्तर

Electric power is defined as the rate of consumption of energy or simply the rate of doing work.
i.e., power, P =`(" work done"("W"))/("Time"("t"))` ..............(i)

The work done by current (I) when it flows in a potential (V) for time (t) can be given by

W = VIt …………………. (ii)

⇒ Power, P `= "VIt"/"t"="VI"`

∴Electric power, P = VI

From Ohm's law, V=VI

Thus, electric power is given by, P = (IR)I = I2R

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2018-2019 (March) 31/4/2

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