What current flows through a 2.60-cm-diameter rod of pure silicon that is 20.5 cm long, when 1.00 ✕ 103 V is applied to it? (Such a rod may

Question

What current flows through a 2.60-cm-diameter rod of pure silicon that is 20.5 cm long, when 1.00 ✕ 103 V is applied to it? (Such a rod may be used to make nuclear particle detectors, for example.)

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niczorrrr 5 months 2021-08-24T00:56:33+00:00 1 Answers 11 views 0

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    2021-08-24T00:58:00+00:00

    Answer:

    1.13 mA

    Explanation:

    Length of wire L = 20.5 cm = 0.205m

    Radius of wire r = 2.60/2 = 1.3cm = 0.0130m

    Voltage V = 1 × 10³ V

    Resistivity of pure silicon p = 2300 Ohms • m

    Cross sectional area of the wire

    A = pi × r² = pi × (0.013)² = 5.307 × 10 ^-4 m²

    Resistance of the material

    R = p• L/A

    = 2300 • 0.205/5.307 × 10^-4 = 0.888 × 10⁶ Ohms

    Using Ohms Law

    R = V/ I

    I = V/R

    I = 10³/0.888 × 10⁶

    = 0.001126 A

    = 1.13 mA

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