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In each circuit for the given figure, what should be determined regarding impedence?

A) Resistance and capacitance
B) Voltage and current
C) Magnitude and phase angle
D) Inductance and frequency

1 Answer

5 votes

Final answer:

In each circuit for the given figure, impedance should be determined in terms of magnitude and phase angle, which includes both resistive and reactive effects and the time difference between voltage and current waveforms. (option C)

Step-by-step explanation:

In the context of AC circuits, impedance (Z) is a complex quantity that incorporates both resistance (R) and reactance, which can be either capacitive
X_(c) or inductive
X_(L). The impedance (Z) is represented in the form Z = R + jX, where j is the imaginary unit.

The correct option is C) Magnitude and phase angle. When determining impedance in an AC circuit, it's essential to calculate both the magnitude (or absolute value) and the phase angle of the impedance.

Mathematically, the impedance is expressed as:

Z= √R²+ (
X_(L) -
X_(C)

The magnitude of the impedance (∣Z∣) is given by the square root of the sum of the squares of resistance and reactance. The phase angle (ϕ) can be determined using the arctangent function:

ϕ = arctan (
X_(L) -
X_(C)/R)

To fully characterize the impedance in the given circuit, it is crucial to determine both the magnitude and the phase angle. This information is essential for understanding the behavior of the circuit under alternating current conditions and is crucial for proper circuit analysis and design.

Magnitude and phase angle is the correct choice when considering impedance in AC circuits.

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