Solve Currents in I3, I2, and I1

[itryphysics]

Homework Statement

find the current in I₃ and I₂ and I₁

Homework Equations

junction Rule

The Attempt at a Solution

Loop 1 : -I₁(4.1) + 29V - I₁ (3.3) -I₃(2.9)
-I₁(7.4) -I₃(2.9) = -29V

Loop 2 : I₃ (2.9) - I₂ (5.5) +16 V - I₂(2)
-I₂(7.5) + I₃(2.9) = -16 V

Loop 3 : -I₁(4.1) + 29V - I₁(3-3)-I₂(5.5) +16V-I₂(2)
-I₁(7.4)-I₂(7.5)=-45V

Please help ASAP thanks!

 

[tiny-tim]

Homework Statement

find the current in I₃ and I₂ and I₁

Homework Equations

junction Rule

The Attempt at a Solution

Loop 1 : -I₁(4.1) + 29V - I₁ (3.3) -I₃(2.9)
-I₁(7.4) -I₃(2.9) = -29V

Loop 2 : I₃ (2.9) - I₂ (5.5) +16 V - I₂(2)
-I₂(7.5) + I₃(2.9) = -16 V

Loop 3 : -I₁(4.1) + 29V - I₁(3-3)-I₂(5.5) +16V-I₂(2)
-I₁(7.4)-I₂(7.5)=-45V

Please help ASAP thanks!

Hi itryphysics!

(The third equation gives you no extra information …

it's just the sum of the first two equations …

the number of independent loop equations is the same as the number of independent loops. )

You've headed this "junction rule", but you haven't used the junction rule, only the loop rule.