Checking Equations: Are They Correct?

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The equations presented for analysis include I_3 = I_1 + I_2 and two voltage equations involving various resistances and inductances. The feedback indicates that the loop equations are generally correct, with a caution regarding the direction of I_2 in relation to the diagram. A clarification was made that V2 is assumed to be zero, which supports the validity of the equations. Overall, the equations appear to be accurate based on the provided assumptions. The discussion confirms the importance of directionality in current flow for accurate circuit analysis.
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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