For the parallel RLC circuit above, assume the current source is an AC current with frequency $\backslash (\backslash$omega $\backslash )$

$($a$)$ Find the admittance of the circuit $($the inverse of the impedance$).$ Express your answer in terms of $\backslash ($ Y$=$G$+$j B $\backslash ),$ where $\backslash ($ G $\backslash )$ is the conductance and $\backslash ($ B $\backslash )$ is the susceptance. Under what condition does the susceptance of the circuit go to zero? Remember that admittances in parallel add directly.

$($b$)$ Find the magnitude and phase of each component current through the capacitor and the inductor when the susceptance is equal to zero. How does the combination of the parallel inductor and capacitor behave in the circuit $($short vs open circuit$)?$