True or False: “The amount of dielectric heating is inversely proportional to frequency.”

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Dielectric heating (RF heating) occurs when an alternating electric field causes dipole rotation and displacement currents in a lossy dielectric, dissipating power as heat. The dependence on frequency is central for applications like industrial heating and microwave ovens.



Given Data / Assumptions:

  • Lossy dielectric characterized by permittivity and loss tangent.
  • Power density in a dielectric typically P ∝ f * E^2 * ε * tanδ (in simplified form).
  • Within useful ranges, higher frequency often increases heating for a given field level.


Concept / Approach:

Because polarization lag creates dielectric loss, and displacement current increases with frequency, the dissipated power generally increases with frequency (up to material-specific dispersion or relaxation phenomena). Therefore, the claim of inverse proportionality is incorrect in most practical regimes.



Step-by-Step Reasoning:

Displacement current density Jd ∝ ω * ε * E.Loss term scales with ω → power ∝ f for constant field amplitude.Hence, more heating at higher frequencies (all else equal) over typical operating bands.


Verification / Alternative check:

Microwave ovens (2.45 GHz) heat water-containing foods effectively because higher frequency enhances dielectric loss relative to lower RF frequencies, consistent with the proportional trend.



Why Other Options Are Wrong:

  • True / frequency-specific truisms: contradict established proportionality in common ranges.
  • Depends only on voltage: frequency explicitly appears in the loss model.


Common Pitfalls:

  • Assuming conduction heating rules apply; dielectric heating is displacement-current based.
  • Ignoring material dispersion where tanδ varies with f; but still not inversely proportional in general.


Final Answer:

False

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