Difficulty: Easy
Correct Answer: Cannot be determined from the information provided
Explanation:
Introduction / Context:
Impedance (Z) in AC circuits depends on frequency and component values. A bare numerical claim like “Z = 1177 Ω” is meaningless without context. This repaired item checks whether you recognize the missing data necessary to compute or confirm impedance.
Given Data / Assumptions:
Concept / Approach:
For a general network, Z(jω) = R + j(XL − XC) for simple series RLC, or more complex functions for other topologies. The magnitude |Z| and phase ∠Z vary with ω. Without ω and component values, any specific value such as 1177 Ω cannot be computed or validated. Therefore, the only defensible choice is that the claim cannot be determined from the given information.
Step-by-Step Solution:
Verification / Alternative check:
Provide any two different hypothetical sets of R, L, C and frequencies that yield different |Z| values; the same number 1177 Ω will not be universally correct.
Why Other Options Are Wrong:
Common Pitfalls:
Accepting numeric statements without verifying the underlying parameters; forgetting the role of frequency in impedance.
Final Answer:
Cannot be determined from the information provided
Discussion & Comments