Inductance is usually denoted by L and is measured in SI units of henries (also written henrys, and abbreviated H), named after Joseph Henry

Question

Inductance is usually denoted by L and is measured in SI units of henries (also written henrys, and abbreviated H), named after Joseph Henry, a contemporary of Michael Faraday. The EMF E produced in a coil with inductance L is, according to Faraday’s law, given by
E=−LΔIΔt.
Here ΔI/Δt characterizes the rate at which the current I through the inductor is changing with time t.
Based on the equation given in the introduction, what are the units of inductance L in terms of the units of E, t, and I (respectively volts V, seconds s, and amperes A)?
What EMF is produced if a waffle iron that draws 2.5 amperes and has an inductance of 560 millihenries is suddenly unplugged, so the current drops to essentially zero in 0.015 seconds?

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Diễm Thu 5 years 2021-08-12T12:45:25+00:00 1 Answers 45 views 0

Answers ( )

  1. sori
    0
    2021-08-12T12:47:21+00:00
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    Answer:

    Explanation:

    E= −L ΔI / Δt.

    L = E Δt / ΔI

    Hence the unit of inductance may be V s A⁻¹

    or volt s per ampere .

    In the given case

    change in current ΔI = – 2.5 A

    change in time = .015 s

    L = .56 H

    E = − L ΔI / Δt.

    = .56 x 2.5 / .015

    = 93.33 V .

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