Indicate whether the following statements are TRUE or FALSE by writing only 'True' or 'False' next to the question number (1.1.1–1.1.3) in the ANSWER BOOK.

Step 1: Identify the given total voltage and total current. The total voltage across the circuit is $V_T = 100 \angle 0^\circ \text{ V}$. The total current flowing through the circuit is $I_T = 0.83 \angle -1.95^\circ \text{ A}$.

Step 2: Apply Ohm's Law for AC circuits to calculate the total impedance. The total impedance $Z_T$ is given by the ratio of the total voltage to the total current: $Z_T = \frac{V_T}{I_T}$

Step 3: Substitute the given values and perform the calculation. To divide complex numbers in polar form, divide their magnitudes and subtract their angles. $Z_T = \frac{100 \angle 0^\circ V}{0.83 \angle -1.95^\circ A}$ $Z_T = \left(\frac{100}{0.83}\right) \angle (0^\circ - (-1.95^\circ)) \Omega$ $Z_T = 120.48 \angle (0^\circ + 1.95^\circ) \Omega$ $Z_T = 120.48 \angle 1.95^\circ \Omega$

The total impedance of the circuit is $\boxed{120.48 \angle 1.95^\circ \Omega}$.

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