A potential difference of 3.00 nV is set up across a 2.00 cm length of copper wire that has a radius of 2.00 mm. How much charge drifts thro

Question

A potential difference of 3.00 nV is set up across a 2.00 cm length of copper wire that has a radius of 2.00 mm. How much charge drifts through a cross section in 3.00 ms

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Thiên Thanh 3 years 2021-09-05T15:42:55+00:00 1 Answers 101 views 0

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  1. Philomena
    0
    2021-09-05T15:44:47+00:00
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    The number of charge drifts are 3.35 X 10⁻⁷C

    Explanation:

    Given:

    Potential difference, V = 3 nV = 3 X 10⁻⁹m

    Length of wire, L = 2 cm = 0.02 m

    Radius of the wire, r = 2 mm = 2 X 10⁻³m

    Cross section, 3 ms

    charge drifts, q = ?

    We know,

    the charge drifts through the copper wire is given by

    q = iΔt

    where Δt = 3 X 10⁻³s

    and i = \frac{V}{R}

    where R is the resistance

    R = \frac{pL}{r^{2} \pi }

    ρ is the resistivity of the copper wire = 1.69 X 10⁻⁸Ωm

    So, i = \frac{\pi(r)^{2}V }{pL}

    q = \frac{\pi(r^{2} )Vt }{pL}

    Substituting the values,

    q = 3.14 X (0.02)² X 3 X 10⁻⁹ X 3 X 10⁻³ / 1.69 X 10⁻⁸ X 0.02

    q = 3.35 X 10⁻⁷C

    Therefore, the number of charge drifts are 3.35 X 10⁻⁷C

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