# Maximum Power Transfer Ideal Transformer

1. Dec 13, 2016

### OmniNewton

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

Given the following circuit find the value of ZL for maximum average power transfer and find the maximum power.

2. Relevant equations
n = N2/N1
V2/V1 = N2/N1
I2/I1= N1/N2
3. The attempt at a solution
move ZL from the secondary coil to the primary coil using Zs* = ZL/n^2
ZL = 4(3+2j) = 12 +8j
P = (12)^2/ [(8)(12)] = 1.5W

I want to verify if this is the right method

2. Dec 13, 2016

### cnh1995

Right.
This is incorrect. Looking at the equivalent circuit referred to primary, which formula will you use for calculating power dissipated in the load?

3. Dec 13, 2016

### OmniNewton

I see thank you for the response. When dealing with this problem would you determine the current I by dividing the given voltage by the sum the 2 impedances. Then we can say that S= I^2Z so P = the real component of S

4. Dec 13, 2016

### cnh1995

Right.
Note that the power you get will be the real power since there is no reactive power in the circuit. So, S=P.

5. Dec 13, 2016

### OmniNewton

And this would be the maximum power?

6. Dec 13, 2016

### cnh1995

Yes.

7. Dec 13, 2016

### OmniNewton

Thank you sir!