Given voltage of the battery is,
[tex]V=15\text{ volt}[/tex]
The value of the resistance is,
[tex]R=3\text{ ohm}[/tex]
Thus, the power in terms of voltage and resistance is,
[tex]P=\frac{V^2}{R}[/tex]
Substituting the known values,
[tex]\begin{gathered} P=\frac{15^2}{3} \\ P=75\text{ W} \end{gathered}[/tex]
Thus, the power used by resistor is 75 W.
Hence, the d option is the correct answer.
