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    In electromagnetism of parallel magnetic circuits, the reluctance offered for two parallel paths will be _________.
    Question

    In electromagnetism of parallel magnetic circuits, the reluctance offered for two parallel paths will be _________.

    A.

    cube for each path

    B.

    square for each path

    C.

    half for each path

    D.

    quarter for each path

    Correct option is C

    Concept Used:In magnetic circuits, reluctance (R) is analogous to resistance in electrical circuits and is given by:R=lμAWhere,l=length of the magnetic pathμ=permeability of the materialA=cross-sectional areaFor parallel magnetic circuits, the total reluctance behaves similar to resistors in parallel:1Rtotal=1R1+1R2If both paths have equal reluctance:Rtotal=R2When two identical magnetic paths are in parallel, the magnetic flux splits equally, and each path effectively offers half the total reluctance. This improves the overall flux conduction capacity of the circuit.\textbf{Concept Used:} \\[4pt]\text{In magnetic circuits, reluctance } (\mathcal{R}) \text{ is analogous to resistance in electrical circuits and is given by:} \\[6pt]\mathcal{R} = \frac{l}{\mu A} \\[8pt]\textbf{Where,} \\[4pt]l = \text{length of the magnetic path} \\[4pt]\mu = \text{permeability of the material} \\[4pt]A = \text{cross-sectional area} \\[8pt]\text{For parallel magnetic circuits, the total reluctance behaves similar to resistors in parallel:} \\[6pt]\frac{1}{\mathcal{R}_{\text{total}}} = \frac{1}{\mathcal{R}_1} + \frac{1}{\mathcal{R}_2} \\[8pt]\text{If both paths have equal reluctance:} \\[6pt]\mathcal{R}_{\text{total}} = \frac{\mathcal{R}}{2} \\[8pt]\text{When two identical magnetic paths are in parallel, the magnetic flux splits equally, and each path effectively offers half the total reluctance. This improves the overall flux conduction capacity of the circuit.}​​

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