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9 September, 13:15

Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of - 2.00nC (b) How many electrons must be removed from a neutral object to leave a net charge of 0.500µC?

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  1. 9 September, 13:23
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    a) 1.24*10¹⁰. b) 3.11*10¹²

    Explanation:

    The charge is quantized, so any charge is a multiple of the elementary charge e, which is the charge of one electron (being negative) or a proton (if it is positive).

    The value of e is 1.61*10⁻¹⁹ coulombs.

    a) So, if we need to form a charge of - 2.00 nC, this will be equal to the following expression:

    Q = - 2.00 nC = n*e = n * (-1.61*10⁻¹⁹) C

    Solving for n, replacing nC by 10⁻⁹ C, we have:

    n = - 2*10⁻9 C / - 1.61.10⁻¹⁹ C = 1.24*10¹⁰ electrons.

    b) In the same way, we get the number of electrons (as a negative charge) that it is needed to remove from a neutral object to leave a net charge of 0.500 μC = 5*10⁻⁷ C, as follows:

    n = - 5*10⁻⁷ C / - 1.61*10⁻¹⁹ C = 3.11*10¹² electrons.
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