So I was looking at this problem and my teacher only went over the case with only a voltage and 1 inductor in the loop, but clearly 1 loop has a voltage source and a resistor with an inductor whereas the other is just a resistor + inductor.. so I don't really know how to account for the inductor. I tried combining their impedances and doing V/Z=I but then you dont get a function dependent on time.. Part b is easy, but I was stuck on how I could find an expression for current for part A and C because I know if i can find that I can find part c by just integrating power (IV)... but I only know that when one of the currents enter and other exits from dot, the expressions would bee V1=L1(di1/dt) - M(di2/dt) and V2=-M(di1/dt)+L2 (di2/dt)...
knowing that the coupling constant is .5 from M=k(sqrt(L1L2)), is it ok to assume that the voltage V1 (on the left ) is Vg and on the right V2=0? If thats the case then I guess you can just use a system of equations (with 2 equations) and solve for one expression, but then youre left with like a differential equation since you have Vg= L1(dig/dt)-M(dil/dt)+5Ig and Vl= -m(dig/dt)+L2(dil/dt)+15Il
how are you supposed to go about isolating for Ig and Il even with 2 equations..? (if thats the right approach)
can anyone help me out on how to approach this problem. I'd appreciate it. thanks!
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