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When to use I²R, V²/R or VI while calculating Electric Power?

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I came across a question that was asked to me quite a couple of time: When to use I²R, V²/R or VI while calculating power? At first, the question looks simple and as if it needs no formal explanation but that's not the case. Use of any of them will give the correct result provided that you apply it correctly. Correct application is possible only when you understand the type of circuit you are dealing with. Another important point is to use the one which is going to take less time and help you calculate easily. All of the three equations tell the same thing but their usage is subject to the type of problem you're trying to solve. Let us understand when, how an what to use while calculating power in an electrical circuit.
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What kills Voltage or Current?

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Voltage V/s Current

 The Original Killer 

I have faced this question quite a lot of time and many theories have been put forward to define the answer. But I will try to answer this question with a simple or Layman's analogy.




 Let us consider the Voltage as height of some building. Higher Voltage or lower Voltage implies higher or lower height of the building. Now, let us consider that you jump off the building (touch a live wire). Higher the building height, severe will be your force of impact to the ground. This impact is what we call current in our analogy which depends upon height of building (Voltage) as well as the surface of impact (Resistance). If you soften the impact surface by laying down soft materials (increasing resistance), you can lower down your force of impact to the ground (current).

 Further, height of building (Voltage) and type of surface(Resistance) decides force of impact (Current) and hence softer the impact surface(more resistive/protective) and/or less the building height (Voltage), less is the impact force(current) . The impact decides whether you survive or not which is similar to the fact that current decides whether you survive or not.

 It is said that, Voltage doesn't kills but Amps kill. Well sure, building of excessive heights wouldn't kill you until and unless you jump off one which will of course be a cause of severe injury if not death which is also true for electric current.

 So, the conclusion:

 1.Amps kill not Voltage.

 2.Amps can't be there without Voltage.

Image source:  Google Images


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