16 ohms
Step-by-step explanation
Ohm's law relates the strength of a direct current is directly proportional to the potential difference and inversely proportional to the resistance of the circuit,it is given by the expresssion
![\begin{gathered} V=IR \\ if\text{ we isolate R} \\ R=(V)/(I) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/2zg30ks276673jljg8g6jxsqciwa95rkvk.png)
then
Step 1
a) Let
![\begin{gathered} I=2.5\text{ A} \\ V=40\text{ V} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/q6xz53r70kajyva5i59f97furzp5at1vix.png)
b)replace in the formula
![\begin{gathered} R=(V)/(I) \\ R=(40V)/(2.5A) \\ R=16\text{ ohms} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/588rw6yuh5i28x50nwpprxfiov2bap31gr.png)
therefore, the answer is 16 ohm
I hope this helps you