Given information:
Resistance of the resistor;
![R=10\text{ }\Omega](https://img.qammunity.org/2023/formulas/physics/college/gy6nncfkfgw975az33dh63rpq0dlcfurh4.png)
Current through the resistor;
![I=2.5\text{ A}](https://img.qammunity.org/2023/formulas/physics/college/b0va0nyfeswvyyaoq5a6rz2sdhft59gjw3.png)
According to Ohm's law, the potential difference is given as,
![V=IR](https://img.qammunity.org/2023/formulas/physics/college/qyxkyhe6das1rxrn37kfxfu7hnf52d3137.png)
Substituting all known values,
![\begin{gathered} V=(2.5\text{ A})*(10\text{ }\Omega) \\ =25\text{ V} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/ec6zyjmdkv7a71zldcq1lnzz0q4yit2uui.png)
Therefore, the potential difference across a 10 Ω resistor carrying a current of 2.5 A is 25 V.