Intro EE - Voltage Divider Design circuit

[krtica]

The link is an image with the question and circuit representation:
http://i49.tinypic.com/2mmwg8l.png


Here are the equations I used:

V_out/V_in = R_2/(R_1 + R_2) {using the node method}

R_thevenin (R_th) = R_2*R_1/(R_1+R_2)

And given the conditions =>

10 < R_th < 30

Manipulating this inequality I found that 50 < R_1 < 150, which left me with three possible values for R_1 (56, 68, 82).

Using the first equation, I put in the numbers, which gave me 0.2=R_2/(R_2+56) and solved for R_2 with every value I put in for R_1 (56, 68, 82).

R_2 values were 14, 17, and 20, respectively, which came to equate to 15, 18, and 22 when compared to the original set of resistors and the 10% condition.

I tried putting in the values of these resistors I used, because all gave me the right ratio of voltages, but they're incorrect.


Pardon how nuanced I may seem, it's been too long since I've done any physics..

 

[NascentOxygen]

Here are the equations I used:

V_out/V_in = R_2/(R_1 + R_2) {using the node method}

R_thevenin (R_th) = R_2*R_1/(R_1+R_2)

I think you are on the right track.

And given the conditions =>

10 < R_th < 30

This should be, 10,000 ≤ R_th ≤ 30,000

Manipulating this inequality I found that 50 < R_1 < 150, which left me with three possible values for R_1 (56, 68, 82).

Aren't you missing some candidates here?
R₁ ∈ {56k,68k,82k,100k,120k,150k}

 

[krtica]

Wouldn't it just be the three since your given all the resistances available in the set E12?

 

[NascentOxygen]

120kΩ = 12 x 10⁴

 

[krtica]

Right! Thanks.