- #1

mot

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## Homework Statement

Suppose that you have a 9.0-V battery and wish to apply a voltage of only 3.5 V. Given an unlimited supply of 1.0-Ω resistors, how could you connect them to make a “voltage divider” that produces a 3.5-V output for a 9.0-V input

r=resistance of 1 resistor=1

R=Total resistance

v=3.5V

## Homework Equations

V=IR

## The Attempt at a Solution

Note: The correct answer is use 18 resistors and measure the voltage across 7.

I really have no idea how to do this...

The current has to be the same across one resistor as it is over the entire circuit.

V=IR

I=V/R=v/r

9V/R=v/1Ω=3.5V/(n*1Ω), where n is the number of resistors

I got to a point of 3.5/9 *R=n, and I plugged in their answers and it works, but so does using 36Ω total and 14 resistors. I just don;t know what to do with no current...

I've tried a lot to no avail, so not much of a point of posting it here.

Help please?

Thanks!