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I have some doubts in the following problem of a transformer, specially on parts 2 and 4.

I would be very grateful if someone could please give me any ideas specially about those parts...

1. The problem statement, all variables and given/known data

3. The attempt at a solution

1)

Applying KVL in each mesh:

Mesh 1: V1 = jwL1I1 - jwMI2

Mesh 2: V2 = jwMI1 - jwL2I2

2)

power for RL?

First, apply KVL in each mesh:

Mesh 1 : V1 = jwL1I1 - jwMI2

Mesh 2 : 0 = jwMI1 - (jwL2 + RL) I2

get I2, and substitute it in the power function below:

P = V I2 = RL I2^2

Regarding M, I only know the formula of M = k sqrt(L1 L2).

I wonder if there is another way to get M....Any ideas ?

3) Z1?

V1 = Z1 I1

Z1 = V1 / I1

First, apply KVL in each mesh:

Mesh 1 : V1 = jwL1I1 - jwMI2

Mesh 2 : 0 = jwMI1 - (jwL2 + jwL) I2

get I2 from equation of Mesh 2, and substitute it in Mesh 1 equation.

After that, substitute V1 from Mesh 1 equation into the equation below:

Z1 = V1 / I2 =

So the result is:

Z1 = jwL1 + (w^2 M^2)/(jwL2 + jwL)

4) w?

I have absolutely no idea on how to do this part.

V and I in phase means : V = Vm cos(wt + 0), I = Im cos(wt + 0)

and an ideal trasnformer means that k =1 from the equation for M...

Any ideas for this part?

Thanks in advance!

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# Homework Help: Ideal transformer problem, angular frequency w

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