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**Finding potential at a specific point in the circuit... Help!!**

## Homework Statement

............................. ground

...................................|

----R2-------------------

|.......................|..........|

|.......................|..........|

|.......................|..........|

R1....................R3........R4

|.......................|...........|

|.......................---------

|.......................|

Emf1..................Emf2

|.......................|

|.......................|

V2-----R5-------V1

dots are for spacing that is all

The resistances are all 2 ohms and emf1 = 5V and emf2 =12 V

what are the potentials at points V1 and V2

## Homework Equations

currents are noted by what resistor they flow through

I

_{1}= I

_{2}= I

_{5}

I used the following equations

junction rule

I

_{1}= I

_{4}+ I

_{3}

loop rule

Emf

_{1}- I

_{1}R

_{1}-I

_{1}R

_{2}-I

_{3}R

_{3}-emf

_{2}-

_{1}R

_{5}= 0

Emf

_{1}- I

_{1}R

_{1}-I

_{1}R

_{2}-I

_{4}R

_{4}-emf

_{2}-

_{1}R

_{5}= 0

## The Attempt at a Solution

Using the above I found I

_{1}= 1amp, I

_{3}= 0.5 amp and I

_{4}= 0.5 amp

Now where i am stuck is when trying to find the potential at a point. This is the first time i seen such a problem related to a circuit. Before I seen difference between two points or something like that or voltage at a resistor or something but V1 and V2 are on the wires. I tried taking two seperate pathes between V1 and V2 but that did not pan out.

I just looking for some hints on how to approach

thanks in advance

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