Given that the resistance of the resistor is R = 1500 ohm.
The power of the resistor is P = 2.75 W
We have to find the maximum potential difference on the resistor.
The formula to find the potential difference is
![\begin{gathered} P\text{ = }(V^2)/(R) \\ V=\sqrt[]{P\text{ R}} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/esjojt88wunx90kj3xndhaihq6pjeqmi6s.png)
Substituting the values, the potential difference will be
![\begin{gathered} V=\sqrt[]{2.75*1500} \\ =64.2\text{ V} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/l1w85ifwc36hk3k0d4z9n0j4p9wnoy46uu.png)
Thus, the maximum potential difference is 64.2 V.