For the RLC circuit shown

$L_1=3\mathrm{.}0mH,R_1=40\mathrm{.}0,C_1=48\mathrm{.}0F,$

$L_2=7\mathrm{.}0mH,R_2=10\mathrm{.}0,C_2=52\mathrm{.}0F,$

$=44sin(1500t)V$

Address the following:

a$.$ Find the impedance for the circuit

b$.$ Find the equation for $i(t)$

c$.$ Find the value of $i$ at $t=300ms$

d$.$ Find the resonant angular frequency

e$.$ Draw a phasor diagram for the circuit showing ${}_m$ and I $.$ Be sure to indicate the phase angle and its value.