Question 19.6: Refer to Figure 19-17. Find Vth for the circuit within the b...

Refer to Figure 19-17. Find V_{th} for the circuit within the beige box as viewed from terminals A and B.

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First remove R_{L} and determine the voltage across the resulting open terminals, which is V_{th}Find V_{th} , by applying the voltage-divider formula to X_{C} and R

V_{th}= V_{R}= \left(\frac{R\angle 0°}{R – jX_{c}} \right)V_{s}= \left(\frac{10\angle 0°k\Omega }{10 \ k\Omega – j10 \ k\Omega } \right)5 \angle 0°V

 

\ \ \ \ \ \ =\left(\frac{10\angle 0°K\Omega }{14.1\angle -45°K\Omega} \right)5\angle 0°V=3.55\angle 45°V

Notice X_{L} has no effect on the result, since the 5 V source appears across X_{C}and R in combination.

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