This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Step 1: Identify the given total voltage and total current. The total voltage across the circuit is . The total current flowing through the circuit is .
Step 2: Apply Ohm's Law for AC circuits to calculate the total impedance. The total impedance is given by the ratio of the total voltage to the total current:
Step 3: Substitute the given values and perform the calculation. To divide complex numbers in polar form, divide their magnitudes and subtract their angles.
The total impedance of the circuit is .
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Identify the given total voltage and total current. The total voltage across the circuit is V_T = 100 0^ V.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.