Checking Equations: Are They Correct?

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SUMMARY

The forum discussion centers on verifying the correctness of electrical circuit equations involving current (I) and voltage (V) relationships. The equations presented are I_3=I_1+I_2 and V_{S1}=I_1(R_1+jwL_1+jwL_3+R3)-I_2(jwL_3+R_3+M). A critical point raised is the distinction between the two I_2 variables, which must flow in opposite directions. The discussion concludes that the equations are valid under the assumption that V2 equals 0.

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geft
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Are my equations correct?

I_3=I_1+I_2
V_{S1}=I_1(R_1+jwL_1+jwL_3+R3)-I_2(jwL_3+R_3+M)
-V_{S2}=I_2(R_3+jwL_3+jwL_2+R2)-I_1(jwL_3+R_3+M)
 
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Your loop equations look okay provided that your I2 is not the same as the I2 indicated on the diagram (they are assumed to be flowing in opposite directions).
 
Last edited:
Ah, my bad for not posting the complete question. For the first part, V2 is assumed 0, so they should be okay. Thanks!
 

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