$(10$ points$)$ Below is a series RLC AC circuit.

Suppose $R=1250,L=5\mathrm{.}25mH,C=14\mathrm{.}5F$ and $V_{rms}=212V,=2250ra\frac{d}{sec}$

$($a$)$ What is $V_{\text{m}\text{a}\text{x}}($of the source$)?$

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$($b$)$ What are $x_L,x_C$ and $Z$ for the circuit?

Find the maximum current in the circuit $I_{\text{m}\text{a}\text{x}}$

Id the phase angle $$ between the current and the $($source$)$ voltage

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$($c$)$ Find the maximum current in the circuit $I_{\text{m}\text{a}\text{x}}$

$($d$)$ Find the phase angle $$ between the current and the $($source$)$ voltage

$($e$)$ Find $I_{rms}$ and thus the power.

$(10$ points$)$ Below is a series RLC AC circuit.

Suppose $R=1250,L=5\mathrm{.}25mH,C=14\mathrm{.}5F$ and $V_{rms}=212V,=2250ra\frac{d}{sec}$

$($a$)$ What is $V_{\text{m}\text{a}\text{x}}($of the source$)?$

$($b$)$ What are $x_L,x_C$ and $Z$ for the circuit?

Id the phase angle $$ between the current and the $($source$)$ voltage

C$)$ find the maximum current in the circuit Imax

D$)$ find the phase angle between the current and the source voltage

E$)$ Find Irms and power