1.

Define electric power. An electrical device of resistance R isected across a source of voltage V and draws a current IDerive an expression for power in terms of current and resistance.

Answer»

a) Electric power is the electricalwork doneper unit time .That is ,

Power = Workdone / Time taken

= W/t

The S.I. unit of electric power is watt which is denoted by the letter W.Thepower of 1 watt is a rate of working of 1 joule per second.That is,

1 watt = 1 joule/1 second

(b)Expression for Power in terms of V and I

We know that :

Power = Work done/Time taken

or P = W/t

the work done W by current I when it flows for time t under a potential difference V is given by :

W = V x I x t joules

Putting this value of W in equation P = W/t,we get :

P = V I t / t joules per second

or Power,P = V x I watts

where V = Potential difference (or Voltage) in volts

and I = Current in amperes

Thus,the power in watts is found by multiplying the potential difference in volts by the current in amperes.

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