For a magnetic circuit of unchanged reluctance, flux is proportional to magnetomotive force: Φ = F/ℜ. Therefore, if flux decreases, the MMF required/producing it also decreases.
Formula / Key Relation
F = NI
ℜ = l/(μA)
Φ = F/ℜ = NI/ℜ
Detailed Explanation
Concept & ReasoningThe magnetic-circuit analogue of Ohm's law is Φ = F/ℜ, where F = NI is magnetomotive force and ℜ is reluctance. If geometry and material permeability remain unchanged, ℜ is constant and flux varies directly with MMF. Thus a decrease in flux corresponds to a decrease in MMF. If reluctance changes at the same time, the conclusion would need more information, but the standard MCQ assumes the magnetic circuit itself is unchanged.How to Solve It in the ExamMagnetic Ohm's law: flux ↔ current, MMF ↔ voltage, reluctance ↔ resistance.Important Exam PointState the constant-reluctance assumption when using direct proportionality.Related…
Concept & Reasoning
The magnetic-circuit analogue of Ohm's law is Φ = F/ℜ, where F = NI is magnetomotive force and ℜ is reluctance. If geometry and material permeability remain unchanged, ℜ is constant and flux varies directly with MMF. Thus a decrease in flux corresponds to a decrease in MMF. If reluctance changes at the same time, the conclusion would need more information, but the standard MCQ assumes the magnetic circuit itself is unchanged.
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