What is Power? What is Energy?

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Power is defined as the time rate at which energy is produced or consumed, depending on whether the element is a source of power or a consumer of power, repectively. It is usually expressed in units of watts.

Power from Voltage and Current

Engineers design electrical systems to control electrical energy. The energy is exchanged between parts of a circuit, and the rate of energy flow, the power, must be calculated. Now, we will see how the knowledge of voltage and current in an electric circuit allows computation of energy flow throughout the circuit.

Let’s restate the definitions of voltage and current and see how their definitions relate to power flow.   

   • Current is the rate of charge flow and voltage is the energy exchange per
      charge.

   • Power is defined as the time rate at which energy is produced or
      consumed;therefore power is by definition the product of voltage and       current.

   • Whether electrical or mechanical, power pertains to the rate at which work
      is being done, therefore

(6.1)

where p = power in watts (W), W work in joules (J), and t = time in seconds (s). When a charge dq is moved from a to b, the energy given by an electric circuit is

(6.2)


When continuous charge flow, a current, is involved, the power p is

(6.3)

Accordingly, more useful formula for finding the power is

(6.4)


where v = voltage drop in volts (V), and i = current in amperes (A). If we know the voltage across a circuit component and the current through that element, we can determine the power into or out of that component by multiplying voltage and current (Watts = Volts x Amperes).

               

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