To solve this problem we will apply Ohm's law. The law establishes that the potential difference V that we apply between the ends of a given conductor is proportional to the intensity of the current I flowing through the said conductor. Ohm completed the law by introducing the notion of electrical resistance R. Mathematically it can be described as
[tex]V = IR \rightarrow R = \frac{V}{I}[/tex]
Our values are
[tex]I = 500mA = 0.5A[/tex]
[tex]V = 37V[/tex]
Replacing,
[tex]R = \frac{V}{I}[/tex]
[tex]R = \frac{37}{0.5}[/tex]
[tex]R = 74 \Omega[/tex]
Therefore the smallest resistance you can measure is [tex]74 \Omega[/tex]
