Difficulty: Easy
Correct Answer: Incorrect — conventional transformers do not transform steady DC
Explanation:
Introduction / Context:Transformers rely on changing magnetic flux to induce voltage according to Faraday’s law. A steady DC produces no changing flux, so no secondary voltage is induced once transients die out. Understanding this limitation is critical in power conversion and explains why DC-DC converters first switch DC to AC-like waveforms before using a transformer.
Given Data / Assumptions:
Concept / Approach:Induced voltage e = -N * dΦ/dt. With constant DC and a static core, dΦ/dt = 0 after initial transient, so e_secondary ≈ 0. Applying DC continuously risks saturating the core and overheating windings due to magnetizing current, offering no useful voltage transformation in steady state.
Step-by-Step Solution:
Apply DC: initial transient may cause a brief change in flux.After steady state, flux is constant; dΦ/dt = 0, so induced secondary voltage is ≈ 0.Meanwhile, primary draws DC magnetizing current that can overheat the transformer.Therefore a transformer cannot step DC directly; switching is required.Verification / Alternative check:DC-DC converters (e.g., flyback, forward) first chop DC into a pulsating waveform at kHz frequencies, then use a transformer; the presence of switching confirms the necessity of changing flux for induction.
Why Other Options Are Wrong:
Common Pitfalls:Assuming “more turns” guarantees step-up without considering Faraday’s law; forgetting core saturation and heating when DC is applied directly.
Final Answer:Incorrect — conventional transformers do not transform steady DC
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