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The law named after him is:

V = IR (in words: voltage = current x resistance)

It is more intuitive if you express it solved for current, since current can be thought of as the dependent variable:

I = V/R

This shows that more voltage will result in more current, while more resistance will result in less current. Of course, in the SI the units are chosen in such a way that the proportionality constant is one (and doesn't appear in the equation).

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