Maximum Power Transfer Ideal Transformer

[OmniNewton]

Homework Statement

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

Homework Equations

n = N2/N1
V2/V1 = N2/N1
I2/I1= N1/N2

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

 

[cnh1995]

ZL = 4(3+2j) = 12 +8j

Right.

P = (12)^2/ [(8)(12)] = 1.5W

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

 

[OmniNewton]

Right.

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

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

 

[cnh1995]

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

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

 

[OmniNewton]

And this would be the maximum power?

 

[cnh1995]

And this would be the maximum power?

Yes.

 

[OmniNewton]

Thank you sir!