Design a network matching a $2000-$ source to a $50-$ load at $100$ kHz $.$ The matching network must block DC current between the source and load. Sketch your circuit. $($Hint: Use one of the circuits shown below$).$

$Q=\sqrt[\phantom{2}]{\frac{R_L}{R_g}-1}$

$x_L=Q_g$

$x_C=\frac{R_L}{Q}$

RF source

$($b$)$

$Q=\sqrt[\phantom{2}]{\frac{R_g}{R_L}-1}$

$x_L=Q{R}_L$

$x_C=\frac{R_g}{Q}$