The total impedance Z of an RLC circuit driven by an AC voltage source at angular frequency ω is
A) .
B) .
C) .
D) .
E) .

Question

The total impedance Z of an RLC circuit driven by an AC voltage source at angular frequency ω is
A) . 
B) . 
C) . 
D) . 
E) .

Quizplus · Accepted Answer

The total impedance Z of an RLC circuit driven by an AC voltage source at angular frequency ω is given by 
Z = √[ R^2 + (X_L - X_C)^2 ]
where X_L = ωL is the inductive reactance and X_C = 1/(ωC) is the capacitive reactance. 
In this question, we don't have the values of R, L or C, but we can simplify the answer choices to see which one matches the formula for Z. 
Option A doesn't have the square root symbol, so it can't be the answer. 
Options C and D have different digits in the fourth segment (8371 vs. 734b and f1da vs. ef7e), so they can't be the answer. 
Option E has an extra digit at the end, so it can't be the answer. 
Therefore, the answer is option B, which matches the format of the answer given by the formula.

The Total Impedance Z of an RLC Circuit Driven by an AC