# Voltage Division with Multiple Voltage Sources Seperated by Resistors

## Homework Statement

Find the voltage across the 10 ohm resistor.
http://www.spacemonkeybrewing.com/images/circuit.jpg [Broken]

## Homework Equations

KVL - Sum of Voltages in a closed loop equal zero.
Ohms - V=IR
Voltage Divide - Va1 = (R1/(R1+R2...))Vs

## The Attempt at a Solution

This is only the second week into the introduction of electrical circuits and I'm not sure where to start here. It doesn't look like I can use KVL, Ohms law or the voltage division equation to solve this problem. I would know how to solve it if it only had a single voltage source or voltage sources that aren't divided by resistors. Any assistance would be greatly appreciated.

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NascentOxygen
Staff Emeritus
Hi TheCarl, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

You can replace the 3 voltage sources by 1. Try that and see how you go. Last edited by a moderator:
So are you saying that basically the circuit above would be equivilant to this:
http://www.spacemonkeybrewing.com/images/circuit2.jpg [Broken]

And therefore V = (10Ω/(15Ω+10Ω+20Ω+5Ω))6V = 6/5V ?

P.S. Thanks for the quick reply.

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NascentOxygen
Staff Emeritus
And therefore V = (10Ω/(15Ω+10Ω+20Ω+5Ω))6V = 6/5V
That's the idea.

Thank you so much!

NascentOxygen
Staff Emeritus