Find each current with using Mesh Current Method

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The discussion focuses on using the Mesh Current Method to find the currents (I1, I2, I3, I4) in an electric circuit. The user is uncertain about the correctness of their equations for I3 and I4, particularly regarding the treatment of a constant current supply shared by meshes 3 and 4. It is pointed out that the supply should not be treated as a zero Ohm resistor; instead, it should be assigned an unknown potential drop, Vx. This adjustment leads to a new equation that relates I3 and I4, specifically I4 - I3 = 2A. The user acknowledges this advice and plans to implement the suggested changes.
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given Electric circuit, i asked to find each current (I1 I2 I3 I4) by using Mesh Current Method.

so how you can see in the picture i marked the directions for the 4 currents in blue color.

and i wrote the equations in red color.
what i am not sure is if the equations for I3 and I4 is correct.
so i need help here.

thanks.
 

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The constant current supply in the branch shared by meshes 3 and 4 needs to be handled appropriately. In your equations you've treated it as a zero Ohm resistor, which is not correct.

What you can do is assign it an unknown potential drop (maybe call it Vx), and since it fixes the current in its branch it introduces a new equation that specifies the relationship between the mesh currents I3 and I4, namely: I4 - I3 = 2A.
 
ok i will try it.

thanks.
 

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