Vacuum permittivity epsilon_0 (ε0): physical meaning beyond unit conversion The statement 'ε0 has no other physical meaning than that of a fundamental conversion factor' is:

Introduction / Context:
Vacuum permittivity ε0 appears in Coulomb’s law, Gauss’s law, and wave propagation in free space. While any physical constant connects quantities and units, ε0 also characterizes the intrinsic electric response of the vacuum and sets electromagnetic scales together with μ0 and c. Evaluating whether it is 'merely' a conversion factor tests understanding of electromagnetism’s foundations.

Given Data / Assumptions:

• Maxwell’s equations in SI: D = ε0 E in vacuum; c = 1 / sqrt(μ0 ε0).
• ε0 is a constant of nature in the SI framework (numerically determined from other defined constants in the modern SI).
• Physical meaning is judged by its role in laws of physics, not just by unit definitions.

Concept / Approach:

ε0 determines how electric fields produce electric displacement in empty space and, along with μ0, sets the speed of light via c = 1 / sqrt(μ0 ε0). It also scales the strength of electrostatic interactions in Coulomb’s law, F = (1 / (4π ε0)) * q1 q2 / r^2. These roles go beyond mere conversion; they reflect properties of free space in the SI description of electromagnetism.

Step-by-Step Solution:

Verification / Alternative check:

Dimensional analysis shows ε0 carries units of F/m, and experiments measuring forces between charges or capacitance in vacuum determine its value, demonstrating operational physical meaning.

Why Other Options Are Wrong:

Answer 'True' denies ε0’s role in measurable dynamics; frequency qualifiers or unit-system caveats do not change its physical necessity in SI formulations.

Common Pitfalls:

Assuming constants tied to unit choices lack physical significance; ignoring that even if numerical values depend on unit conventions, the constant’s presence in laws expresses real behavior.

Final Answer:

False