Checking Equations: Are They Correct?

[geft]

Are my equations correct?

$$I_3=I_1+I_2$$
$$V_{S1}=I_1(R_1+jwL_1+jwL_3+R3)-I_2(jwL_3+R_3+M)$$
$$-V_{S2}=I_2(R_3+jwL_3+jwL_2+R2)-I_1(jwL_3+R_3+M)$$

 

[gneill]

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).

 

[geft]

Ah, my bad for not posting the complete question. For the first part, V2 is assumed 0, so they should be okay. Thanks!