In Circuit A$,$ a single inductor is driven by a $20$ V power supply at a frequency of $753$ Hz with a measured RMS current of $27\mathrm{.}2724$ A $($Circuit A consists of only the inductor and the power supply$).$ This same inductor is then removed from Circuit A and placed into a different circuit, Circuit B$.$ Circuit B is a RLC series circuit with the inductor from Circuit A$,$ a $0\mathrm{.}97k$ resistor, and a $24\mathrm{.}5$ nF capacitor.

a$)$ Find the inductance of the inductor that is in Circuit A and then moved to Circuit B$.$

$H$

b$)$ Find the Circuit B$\text{'}$s impedance at $497$ Hz $.$

$k$

c$)$ If the voltage source in Circuit B has $V_{rms}=410V,$ what is $I_{rms}$ at the frequency in part a$?$

mA

d$)$ What is the resonant frequency of Circuit B$?$

kHz

e$)$ What is $I_{rms}$ at resonance for Circuit B$?$

A