Thevenin equivalent of circuit and maximum power transfer

[bizuputyi]

Homework Statement

Find the Thévenin equivalent of the circuit and the required value of the load for maximum power transfer for $Z = 15 + j24 Ω$.

Homework Equations

Voltage divider equation and $Z_{in} = Z_{load}$ 'complex conjugate' for maximum power transfer.

The Attempt at a Solution

Thévenin equivalent:

Since there is no current flowing through 2.5Z:

$V_{out} = V_{in} \times \frac{2 \parallel 5}{2 + (2 \parallel 5)} = 0.4167 V_{in}$

$Z_{total} = 0.67Z$

Maximum power transfer:

$Z_{load} = 0.67 \times (15-j24) = 10 - j16 Ω$

Does this appear to be correct?
Thank you for anyone looking into that.

 

[gneill]

Looks good!

 

[bizuputyi]

Thank you!