Hello,(adsbygoogle = window.adsbygoogle || []).push({});

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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Ideal transformer problem, angular frequency w

**Physics Forums | Science Articles, Homework Help, Discussion**