Voltage Division with Multiple Voltage Sources Seperated by Resistors

[TheCarl]

Homework Statement

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

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.

 

[NascentOxygen]

Hi TheCarl, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You can replace the 3 voltage sources by 1. Try that and see how you go.

 

[TheCarl]

So are you saying that basically the circuit above would be equivilant to this:
http://www.spacemonkeybrewing.com/images/circuit2.jpg

And therefore V = (10Ω/(15Ω+10Ω+20Ω+5Ω))6V = 6/5V ?P.S. Thanks for the quick reply.

 

[NascentOxygen]

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

That's the idea.

 

[TheCarl]

Thank you so much!

 

[NascentOxygen]

For future reference: your pic archive site seems slow or unreliable, and the pic is some of the time failing to appear. I venture that some people will be reading this and wondering where's the circuit we are discussing? For next time, I suggest that you try out another site, or else attach your pic to your post.

 

[TheCarl]

Here are the two photos in order in case they don't show up in the above threads.