Consider the series RLC circult below.

The circuit includes a variable capacitor which is used to tune the ciruit have resonance. One of your clients wishes to know some properties of this circuit, so you are tasked with determining the following:

a$)$ The resonant frequency of the circuit.

b$)$ The magnitude of the circuit current at resonance.

c$)$ The magnitude of the voltage across the inductor at resonance.

d$)$ Account for the magnitude of the voltage across the inductor, given that the supply voltage is only $10$ V $?$

e$)$ Sketch a phasor diagram showing the relative phases and magnitudes of the current and all the voltages in the above circuit.