I try my best to translate it.
\$Z_2 = 20\Omega\$, and \$Z_1\$ is resistance variable which ranges from \$10\Omega\$ to \$200\Omega\$
I need to calculate \$V_{out}\$ for the value \$Z_1 = 15\Omega\$ and again for \$160\Omega\$.
This is some information I've tried
$$V_{out} = V_{in} \times \frac{I\times Z_2}{I\times(Z_1 + Z_2)}$$
Therefore
$$V_{out} = V_{in} \times \frac{Z_2}{Z_1 + Z_2}$$
Now I can get the \$V_{in}\$ (from a book) using the equation:
$$V_{in} = I (Z_1 + Z_2)$$
But if I combine \$V_{in}\$ into the equation, I get:
$$V_{out} = V_{in} \times \frac{Z_2}{Z_1 + Z_2}$$
$$V_{out} = I\times(Z_1 + Z_2) \times \frac{Z_2}{Z_1 + Z_2}$$
Which is missing information for the \$I\$?
Is there another way I could calculate the \$V_{out}\$? or this question is just formed incorrectly?
Best Answer
You don't even need to think about current.
$$V_{out} = V_{in} \times \frac{R_2}{R_1+R_2}$$
If you don't know \$V_{in}\$, you can't specify a value, only the output voltage in terms of \$V_{in}\$.