Lightning occurs when there is a flow of electric charge (principally electrons) between the ground and a thundercloud. The maximum rate of

Question

Lightning occurs when there is a flow of electric charge (principally electrons) between the ground and a thundercloud. The maximum rate of charge flow in a lightning bolt is about 20,000 C/s this lasts for 100 μs or less.1. How much charge flows between the ground and the cloud in this time? (Q= ? C)2. How many electrons flow during this time? (n_e = ?)

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Đan Thu 4 years 2021-07-30T08:39:41+00:00 1 Answers 679 views 0

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  1. minhkhang
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    2021-07-30T08:41:24+00:00
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    Answer:

    a

     The  charge is  Q = 2.0*10^8 \ C

    b

    The number of electrons  N = 1.25 *10^{27} \ electrons

    Explanation:

    From the question we are told that

        The  maximum rate of charge flow is  \frac{dq}{dt} = I = 20000 \ C/s

    Here  I means current

        The time interval is t=100 \mu s = 100*10^{-6}

    Generally the amount of charge is mathematically represented as

            Q = \frac{I}{t}

    =>      Q = \frac{20000}{ 100*10^{-6}}

    =>    Q = 2.0*10^8 \ C

    The number of electrons that flow during that time is evaluated as

        N = \frac{Q}{e}

    Here e is the charge on a single electron with value e= 1.60*10^{-19} \ C

    So

             N = \frac{2.0*10^8}{ 1.60*10^{-19}}

             N = 1.25 *10^{27} \ electrons

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