ANSWER:
55Ω
I = 0.22 amp
Explanation:
We are divided into two parts, the first is to solve the parallel system, like this:
![\begin{gathered} (1)/(R_T)=(1)/(R_1)+(1)/(R_2) \\ \text{ replacing:} \\ (1)/(R_T)=(1)/(10)+(1)/(10) \\ R_T=(100)/(10+10)=(100)/(20)=5\Omega \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/q8vi4hebzac1vs70aytwit8agmwbnfu2s4.png)
Then we have a series system, therefore, we solve like this:
![R_T=5+50=55\Omega](https://img.qammunity.org/2023/formulas/physics/college/g0z1c484qg4im5cjdgh0wc906o907ozdtj.png)
The first thing is to calculate the current, knowing that the voltage is equal to 12V, like this:
![\begin{gathered} I=(V)/(R)=(12)/(55) \\ I=0.22\text{ amp} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/lxkf75cs6pfj8b9l8w5e4gm4h0v9p55o85.png)