Question

When thinking about an electric circuit, you usually focus not on the motion of individual charges, but rather on the continuous current (charge per unit time) flowing through the circuit. Thus, rather than considering the work done on a particular charge, it is useful to compute the work done per unit time on the charge flowing through the circuit, or in other words, the power.

Answer 1

The electrical power P delivered to the resistor via the work done on the individual charges passing through it is  Power = VI

What is power in physics and examples?

• Power is the rate at which work is done. The SI unit for power is the watt W, where 1 watt equals 1 joule/second (1W=1J/s).
• Because work is energy transfer, power is also the rate at which energy is expended.
• A 60-W light bulb, for example, expends 60 J of energy per second.

Let Length of wire L and register R .

Electric field of charge q

          $E = \frac{V}{L}$

Force on charge q

       F = E . q ⇒  V q /L

Work done in moving charge q distance L'

       W = F L =   $\frac{V * q}{L} * L$

Power  = dw/ dt

            = $\frac{d (Vq )}{dt} = V \frac{dq}{dt}$                        [ dq/dt =  I ]

the power,

                      Power = VI

Learn more about power

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