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## Homework Statement

I'm going to try drawing the circuit. Numbers are added to it for reference. I apologize for the formatting. I'm not sure how to do white space. Edit: for V

_{B}the + is on top.

V

_{A}and V

_{B}are switches.

I need to figure out the voltage across V

_{A}and VB

_{B}when they are:

1. open, open

2. open, closed

3. closed, open

4. closed, closed

1-------(+ V

_{A}-)-------(+ 8 V -)-------2--------------3

|_______________________________|___________|

12Ω____________________________15Ω_______(+ V

_{B}-)

|_______________________________|___________|

6-----------------------------------------5--------------4

## Homework Equations

V = IR

Kirchhoff's Laws

## The Attempt at a Solution

1. When they are both open there isn't a circuit. So, V

_{A}= 0 V and V

_{B}= 0 V.

2. Again, no circuit.

3. There is a circuit. It has a total resistance of 27 Ω (I don't know if this matters). V

_{A}= -8 V and V

_{B}= 0 V.

4. I'm not sure about this one. There are two loops, but loop 1256 has a total resistance of 27 Ω and loop 1346 has a total resistance of 12 Ω. So 1256 gets 27/39 = 9/13 of the current and voltage and 1346 gets 12/39 = 4/13 of the current and voltage? So V

_{A}= -8*9/13 V and V

_{B}= -8*4/13 V?

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