Derive the equation relating the total charge QQ that flows through a search coil (Conceptual Example 29.3) to the magnetic-field magnitude

Question

Derive the equation relating the total charge QQ that flows through a search coil (Conceptual Example 29.3) to the magnetic-field magnitude BB. The search coil has NN turns, each with area AA, and the flux through the coil is decreased from its initial maximum value to zero in a time ΔtΔt. The resistance of the coil is RR, and the total charge is Q=IΔtQ=IΔt, where II is the average current induced by the change in flux.

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Dulcie 4 years 2021-07-20T06:21:52+00:00 1 Answers 26 views 0

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  1. diemkieu
    0
    2021-07-20T06:23:38+00:00
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    Answer:

    Explanation:

    flux through the coil = NBA

    Change in flux = NBA – 0 = NBA

    rate of change of flux = NBA / Δt

    emf induced = NBA / Δt

    current i = emf / resistance

    = NBA / (RΔt)

    Charge flowing through the search coil

    =  NBA Δt/ (RΔt)

    Q = NBA/R

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