1.

"Derive"P=I^(2)R.

Answer»

Solution :1. Consider that a charge (Q) Coulomb passes through a point A. MOVES to point B in time interval 't' SECONDS.
2. Let V be the potential difference between the points A and B.
3. The work done by electric field in time 't' is GIVEN by W = QV-(1)
4. The work is equal to the energy lost by the charge while passing through the conductor for time 't'.
5. Energy lost by the conductor in `sec = (W)/(t).`
From (1), `(W)/(t)=(QV)/(t)-(2)`
We know, `(Q)/(t)=Iand(W)/(t)=P("POWER")`
Then `(2)rArrP=VI-(3)`
This equation can be used to calculate power consumption by any electric devie that is connected in a circuit.
From Ohm's law V = I R
`therefore(3)rArrPI^(2)R. (or)(V^(2))/(R)-(4)`
6. To know the power that can be EXTRACTED from battery or any source can be calculated by `P=epsilonI.`
Whose `epsilon` is the emf of the battery or source.


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