Part I. Simple Problems $(20$ pts$)$

SP$1(5pts)$ In the circuit below, the output signal is taken across the inductor. $R_1=100,L_1=10mH.$

$1$A$)$ Is it a high$-$pass filter $($HPF$)$ or low$-$pass filter $($LPF$)?$ HPF or LPF $($circle one of them$)$

$1$B$)$ Find the cutoff frequencies ${}_c$ and $f_c$ with the corresponding units.

$1$C$)$ Find the phase shift of the transfer function at the cutoff frequency.

SP$2(5pts,$ and the signal source is a sine wave with the amplitude of $5$ V $($NOT rms value$).$

$2$A$)$ Draw an equivalent circuit with impedance transformation $($the transformer is no longer there$).$

$2$B$)$ Find the average power delivered to the load.