Residual flux density of carbon steel – truth check Evaluate the statement: “Carbon steel has a residual flux density (remanence) of exactly 1 Wb/m^2.” Decide whether it is true or false for general carbon steels used in magnetic applications.

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Residual flux density (remanent flux density, Br) is a key parameter of ferromagnetic materials measured from their hysteresis loops. It is material- and processing-dependent, not a single fixed number for all samples labeled “carbon steel.”


Given Data / Assumptions:

  • We refer to general carbon steels, not a specific grade with prescribed heat treatment.
  • Br depends on composition, grain structure, processing, and measurement conditions.


Concept / Approach:

Carbon steels commonly show remanence values on the order of 1–1.5 T (Wb/m^2), but exact figures vary widely. Since the statement claims a definitive value of exactly 1 Wb/m^2, it is not generally correct. Engineering datasheets quote ranges and typical values; one must consult the specific alloy and temper.


Step-by-Step Solution:

Identify that Br is not a universal constant.Recognize typical Br spans near 1 T but with variation.Conclude that the exact-value statement is false for general carbon steels.


Verification / Alternative check:

Hysteresis loops for low-carbon steels and electrical steels report Br values depending on silicon content, lamination thickness, stress relief, and rolling direction, confirming variability.


Why Other Options Are Wrong:

Options suggesting stainless steels or transformer steels do not address the generality problem; “true only at cryogenic temperatures” is irrelevant to the variability across grades.


Common Pitfalls:

Assuming a single nominal “textbook number” applies to all carbon steels without considering grade and processing.


Final Answer:

False

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