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.

 

[nlightner]

Based on the given information, it is not possible to solve for the currents in I3, I2, and I1 as there are not enough equations or known values. In order to solve for these currents, you would need additional information such as the values of the resistors in the circuit or the voltage sources. Additionally, the equations provided in the attempt at a solution do not follow the junction rule, which states that the sum of currents entering a junction must equal the sum of currents leaving the junction. I suggest reviewing the circuit and providing more information in order to accurately solve for the currents.