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Which of the following terms does not represent electrical power in a circuit?
$(a)$ $I^2R$
$(b)$ $IR^2$
$(c)$ $VI$
$(d)$ $V^2/R$
The correct answer is $(b)$ $IR^2$.
Power: The rate of the energy developed per unit of time electrical power in a circuit is known as power.
We know that $\boxed{P=V\times I}$ ........ $(i)$
Here, $P\rightarrow$power
$V\rightarrow$voltage
$I\rightarrow$current flowing
The relation between $V,\ I$, and $R$ is as follows
$V=IR$,
Let us submit the above value in $(i)$
$P=IR\times I$
Or, $\boxed{P=I^2R}$ ......... $(ii)$
And we also know that $I=\frac{V}{R}$, let us submit this value in $(i)$
$P=VI$
Or $P=V\times \frac{V}{R}$
Or $\boxed{P=\frac{V^2}{R}}$ ......... $(iii)$
Equation $(i)$
$\boxed{P=V\times I}$ represents electrical power in a circuit.
Equation $(ii)$
$\boxed{P=I^2R}$ represents electrical power in a circuit.
Equation $(iii)$
$\boxed{P=\frac{V^2}{R}}$ represents electrical power in a circuit.
Relation $(i)$, $(ii)$ and $(iii) represents electrical power in a circuit.
But $IR^2$ does not represent electrical power in a circuit.
So option $(b)$ is correct.