How to Solve for Unknowns in a Complex Circuit Equation?

[talaroue]

Homework Statement

Find all the unkown R,I's, V's

Homework Equations

Reg=(R1*R2*R3)/(R1+R2+R3)
i_t=i₁+i₂+i₃
V=IR

The Attempt at a Solution

All unknowns:
R2,R3,i1,i3 it,Vs,V1,V2

It seems that I need one more bit of information to solve any variables
i₁ goes across R1, i₂ goes across R2, i₃ across R3

 

[Doc Al]

Hint: Since the three resistors are in parallel, what's the voltage across each? (And the battery voltage, for that matter.)

 

[talaroue]

Since they are parrallel the voltage across each is equal to each other? Vs=V1=V2=V3 is this right?!? Also why is that?

 

[Doc Al]

Since they are parrallel the voltage across each is equal to each other? Vs=V1=V2=V3 is this right?!?

Absolutely.

Also why is that?

Read this: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html#c2"

 

[talaroue]

Ok thank you knowing this concept this should be an easy one...I have another simple question though.I will post the picture and work in a new thread that I will pm you, can you just come teach my class for me? Your anwsers are so much more simplier then the ones provided by my professor.

 

[talaroue]

https://www.physicsforums.com/showthread.php?p=2328907#post2328907"

here is my next question.