How Do You Calculate Voltages and Power in a Complex Circuit?

[qpham26]

Homework Statement

(a) Find v1 and v2 in the following circuit. ( i assume that they are asking for voltage of 30Ω and 5Ω)
(b) Determine the power dissipated in the 6-Ω resistor.
https://sphotos-b.xx.fbcdn.net/hphotos-ash3/580277_498142810205239_1717053686_n.jpg

Homework Equations

Equivalent resistor equation.
Current divider

The Attempt at a Solution

simplified the 3 parallel resistors into R_eq = 6Ω
Find I_s = 12V/ (12+6+6) = 0.5A
Back to original circuit, 30Ω || 25+5Ω => R_eq2 = 15Ω
Use current divider rule to find Current of _eq2 = (10Ω x 0.5A)/(10+15Ω) = 0.2A

Use that to find I₁ = 0.1A and I₂=0.1A

so V₁ = 0.1 x 30 = 3V
V₂ = 0.1 x 5 = 0.5V

P_6Ω = I_s^2 x 6Ω = 1.5WTHanks for your time.

 

[NascentOxygen]

All looks right.