Refer to Figure 19-22. Determine Zth for the portion of the circuit within the beige box as viewed from terminals A and B. This is the same circuit as in Example 19-6.

Question

Refer to Figure 19-22. Determine [latex]Z_{th}[/latex] for the portion of the circuit within the beige box as viewed from terminals A and B. This is the same circuit as in Example 19-6.

Accepted Answer

With the voltage source replaced by its internal impedence (zero in this case), [latex]X_{L}[/latex] is effectively out of the circuit. R and C appear in parallel when viewed from the open terminals, as indicated in Figure 19-23. [latex]Z_{th}[/latex] is calculated as follows:

[latex]Z_{th}= \frac{(R \angle 0°)(X_{C}\angle -90°)}{R -jX_{C}} = \frac{(10 \angle 0°k\Omega )(10\angle -90°k\Omega )}{10 \ \Omega -j10 \ k\Omega }[/latex]

[latex] \ \ \ \ \ \ =\frac{(10 \angle 0°k\Omega )(10\angle -90°k\Omega )}{14.1\angle -45°k\Omega }= 7.07\angle -45°k\Omega [/latex]

Question 19.9: Refer to Figure 19-22. Determine Zth for the portion of the ...

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