Magnetic circuits – Analogy check Statement: “Reluctance in a magnetic circuit is analogous to current in an electrical circuit.” Decide whether this statement is correct.
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AFalse
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BTrue
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CTrue only when relative permeability is 1
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DTrue if flux leakage is negligible
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EIndeterminate without knowing core material
Answer
Correct Answer: False
Explanation
Introduction / Context:Electrical–magnetic analogies are widely used to reason about magnetic circuits with cores, air gaps, and windings. The common “Ohm’s law” form is mmf = flux * reluctance, which invites comparisons to V = I * R in electric circuits. This question checks whether the stated analogy is correct.
Given Data / Assumptions:
- Linear magnetic material behavior assumed (no deep saturation), so a simple reluctance model is meaningful.
- Sinusoidal or steady conditions; leakage and fringing ignored for the core idea.
- Symbols: mmf = magnetomotive force, Φ = flux, Rm = reluctance.
Concept / Approach:
The standard magnetic “Ohm’s law” is written as mmf = Φ * Rm. Compare with electric Ohm’s law V = I * R. Mapping terms shows mmf ↔ voltage, flux Φ ↔ current, and reluctance Rm ↔ resistance. Therefore, reluctance corresponds to resistance, not current.
Step-by-Step Solution:
Write magnetic relation: mmf = Φ * Rm.Write electric relation: V = I * R.Identify analogs: mmf ↔ V, Φ ↔ I, Rm ↔ R.Therefore, the statement “reluctance is analogous to current” contradicts the correct mapping.Verification / Alternative check:
Check power-like quantities: electric power is V * I; magnetic “power” flow conceptually involves mmf * flux. The pairings remain consistent only if reluctance ↔ resistance and flux ↔ current.
Why Other Options Are Wrong:
“True” (and conditional variants) are incorrect because the analogy depends on the form of the governing equations, not on permeability being 1 or leakage being small.
Common Pitfalls:
Confusing flux density B with flux Φ; mixing field intensity H with mmf; assuming analogies change with material type. The core mapping remains mmf ↔ V, Φ ↔ I, Rm ↔ R.
Final Answer:
False.