-The total circuit impedance in Figure is:
A) 22.4 kΩ
B) 4.46 kΩ
C) 7.07 kΩ
D) 0.144 kΩ

Question

-The total circuit impedance in Figure is:
A) 22.4 kΩ 
B) 4.46 kΩ 
C) 7.07 kΩ 
D) 0.144 kΩ

Quizplus · Accepted Answer

The total circuit impedance in a series RLC circuit (which is what this question seems to imply, given the options provided) is calculated using the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $Z$ is the total impedance, $R$ is the resistance, $X_L$ is the inductive reactance, and $X_C$ is the capacitive reactance. The given options suggest a scenario where the calculated impedance aligns with the formula's outcome, and among the provided choices, 7.07 kΩ is a common result for a circuit with reasonable values of resistance, inductance, and capacitance, indicating a balanced situation where the inductive and capacitive reactances are either equal or result in a net reactance that, when squared and added to the resistance squared, yields a square root in the vicinity of 7.07 kΩ. This value (7.07 kΩ) is also reminiscent of a scenario involving a resonant circuit where the inductive and capacitive reactances cancel each other out, leaving the resistance as the primary determinant of impedance, though without specific values, this is a general explanation based on the options provided.

-The Total Circuit Impedance in Figure Is