Why is power equal to voltage times current?

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SUMMARY

The relationship between power, voltage, and current is defined by the equation P = VI, where P represents power in watts, V represents voltage in volts, and I represents current in amperes. Power is the rate of energy transfer, measured in joules per second, while voltage is the potential energy per unit charge, and current is the flow of charge per unit time. The discussion emphasizes that both voltage and current are essential for calculating power, using analogies such as water flow to illustrate the concept. Understanding these relationships is crucial for grasping electrical principles and their applications in circuits.

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  • Understanding of electrical units: volts, amperes, and watts
  • Familiarity with Ohm's Law and its applications
  • Basic knowledge of energy transfer concepts in physics
  • Ability to interpret mathematical relationships in electrical formulas
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  • Study the derivation of the power formula P = VI in various circuit configurations
  • Explore the implications of Ohm's Law in real-world electrical systems
  • Learn about energy conservation in electrical circuits and its practical applications
  • Investigate the role of resistance in power dissipation and efficiency
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Electrical engineers, physics students, educators, and anyone seeking to deepen their understanding of electrical power systems and their mathematical foundations.

  • #31
Nugatory said:
You can write either I2 or ##I^2## and it will be a lot clearer what you mean. (try quoting this post to see what I did, or look for the sticky down in the feedback section).

Thank you. That is very helpful and I'm confidant it will make my future posts clearer, to myself as well as others..
 
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  • #32
and use V for voltage rather than E

E is more commonly use for Energy ... ie ... E = mc2

cheers
Dave
 
  • #33
davenn said:
and use V for voltage rather than E

E is more commonly use for Energy ... ie ... E = mc2

cheers
Dave

That's actually curious. I was taught Ohms Law is I = E/R but I see now that textbooks and modern reference material replace E with V as you recommended. I may be old but not so old I can't change for something half way reasonable. V it is :)
 
  • #34
The old name for "voltage" was "electromotive force", which is probably where enorbet's I = E/R came from.

The term EMF is still used sometimes (e.g. the "back EMF" in an electric motor) but being pedantic, the EMF is the "cause" of a voltage in a circuit, not the actual voltage itself. (And the name EMF is also confusing because it has nothing to do with the idea of "force" as used in mechanics.)

In the standard notation for electromagnetism E is the electric field, not the voltage. http://hyperphysics.phy-astr.gsu.edu/hbase/electric/efromv.html
 
  • #35
emf is still used when you are referring to an induced 'voltage'. So the secondary of a transformer has an 'emf' induced and an antenna will also have an emf induced into it and a chemical cell will generate an emf. This term distinguishes this manifestation of a voltage from the Potential Difference that is actually measured in a circuit, fed from a real electrical source - one with a source resistance (so called Internal Resistance of a battery)
So PD would be equal to Emf - Current times source resistance or:
PD=rI.
I remember my Dad always used E = IR, after his college ONC and HNC courses on 'EE' (=Voltage Voltage??haha). It confused me, wham I started using V = Ir at school.
Flavours change from generation to generation. I remember , in A Level Mechanics and Physics, acceleration was always lower case f. So v=ut+ft2/2 was what we used in our equations of motion calculation.
It's a moving target, as new variables arrive and pinch the commonly used symbols.
 

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