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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.

Why the 'M' and 'C' terminals of a wattmeter aren't internally connected?

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Why 'mains(M)' & 'common(C)' terminals in a Wattmeter aren't connected internally by manufacturers even though in all practical applications, these terminals are required to be connected externally for measuring power and energy consumption? Know the reasons behind it.