Ohm's law states that electric current is directly proportional to voltage provided that physical conditions like temperature remain constant i.e.
$$V = IR$$
On the other hand,
$$\text{Power = Voltage} \times \text{Current}$$
So here it seems that the higher the voltage, the lower the current, provided that the power remains constant (i.e. current is inversely proportional to the voltage here which is against Ohm's Law.).
Now my question is how do physicists explain this apparent contradiction? Or maybe this not a contradiction because I am analysing things incorrectly?
P.S.: I am a tenth grade student so please refrain from the usage of highly complicated terminologies in your answers.
Best Answer
When you are going from an equation to a proportionality statement you need to be mindful of what is being kept constant.
$V=IR$ means that $I$ varies directly with $V$ if $R$ is constant.
$P=IV$ means that $I$ varies inversely with $V$ if $P$ is constant.
The only time you could get a contradiction is if you are comparing situations where the power is constant and also the resistance is constant. But if that's the case you'll find there is only one solution for $I$ and $V$, that is to say, with those restrictions $I$ and $V$ can't vary - directly or inversely.