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a) Draw (two) qualitatively correct phasor diagrams that show the voltage drops and gains for each of the two loops shown. Be sure to correctly indicate the phases of the currents $I_1$ and $I_2$ relative to the phase of the applied voltage and the voltage drop across each element.

b) Write the Kirchoff's Law (Voltage) for each of the two loops shown that corresponds to your phasor diagram.

c) From a) and b), find the impedance of each loop $Z_1$ and $Z_2$, the current phase of each loop $\delta_1$ and $\delta_2$, and write down an expression for $I_1(t)$ and $I_2(t)$. Try to work neatly enough that I can grade this.

d) For extra credit, use Kirchoff's Law (current) to find the total impedance of the circuit, the total current provided by the voltage, and the total power provided by the voltage.