Question

what property of a wire increases when it is made thinner?
○ current
○ static charge
○ resistance
○ voltage

Explanation:

Step1: Recall resistance formula

The resistance formula is $R =
ho\frac{l}{A}$, where $R$ is resistance, $
ho$ is resistivity (a property of the material), $l$ is the length of the wire, and $A$ is the cross - sectional area.

Step2: Analyze effect of thinning

When a wire is made thinner, its cross - sectional area $A$ decreases. Since $R$ is inversely proportional to $A$ (with $
ho$ and $l$ constant), the resistance $R$ increases.

Step3: Analyze other options

Current is determined by voltage and resistance according to Ohm's law $I=\frac{V}{R}$, and is not directly affected by the wire's thickness alone. Static charge is related to the presence of excess or deficiency of electrons and not directly related to wire thickness. Voltage is an external potential difference applied across the wire and is not affected by the wire being made thinner.

Answer:

Resistance