Match the circuit condition with its approximation. you may use answers more than once or not at all.

Inductor with a high frequency $AC$ signal

A$.$ short circuit

Capacitor with a low frequency AC signal

$x_L=x_C$

B$.$ open circuit

Capacitor with a high frequency AC signal

Inductor with a DC signal $($steady state$)$

Capacitor with a DC signal $($steady state$)$

Inductor with a low frequency AC signal

$f=\frac{1}{2\sqrt[\phantom{2}]{L}C}$