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4 June, 06:05

If 4 x 10^21 electrons pass through a wire connected to a 15 ohm resistor in 3 s, how much electric

current does the wire have and what is the potential difference used in the wire?

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  1. 4 June, 07:09
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    1.) Current = 213.33A

    2.) Potential difference = 3200 V

    Explanation:

    Given that

    Number of electrons n = 4 x 10^21 electrons

    Resistance R = 15 ohm

    Time t = 3 s

    From the definition of current;

    Current is the rate of flow of changes. That is,

    Current I = Q/t

    Where

    Q = 4 * 10^21 * 1.6 * 10^-19

    Q = 460C

    Current I = 460/3

    Current I = 213.33 A

    Using Ohms law which state that

    V = IR

    Substitute the resistance R and current I into the formula above

    Potential difference V = 213.3 * 15

    Potential difference V = 3200 V
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