For the network shown,

$($a$)$ Determine the equivalent impedance of the network at a frequency of

$(20)$

$60$ Hz $.$ Describe the system tendency in terms of being inductive or capacitive.

$($b$)$ Determine the current i$($t$).$

$($c$)$ Recalculate the equivalent impedance if the voltage source frequency is reduced to $50$ Hz $.$ Describe what changed in terms of the system tendency found in case $($a$).$

$($d$)$ Recalculate the current $\backslash ($ i $\backslash )($t$)$ for case $($c$).$

$(10)$

$**********$