A metal microelectrode has a tip that can be modeled as being cylindrical. The metal itself is 1X10^-6m in diameter, adn the tip region is 3

Question

A metal microelectrode has a tip that can be modeled as being cylindrical. The metal itself is 1X10^-6m in diameter, adn the tip region is 3mm long. The metal insulation material 0.2 x10^-6 m thick. The insulation material has a relative dielectric constant of 1.67. Only the base of the cylinder is free of insulation. What is the resistance associated with the tip of this microelectrode

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Thành Đạt 1 week 2021-07-22T21:47:48+00:00 1 Answers 1 views 0

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    2021-07-22T21:49:00+00:00

    Answer:

    Resistance   =1.27*10¹¹

    Explanation:

    Given Data:

    Diameter (d) = 1X10^-6m

    Length (L) = 3mm = 0.003m

    Thickness = 0.2 x10^-6 m

    Dielectric constant = 1.67

    Resistivity = 10^3 Ohms/cm²

    Calculating the cross sectional area, we have

    A = πd²/4

       = π*(1*10⁻⁶)²/4

        =3.142*10⁻¹²/4

         = 7.855 *10⁻¹³ m²  = 7.855 *10⁻⁹cm²

    Calculating resistance using the formula;

    R = Rs/A

      = 1000/7.855 *10⁻⁹

      =1.27*10¹¹

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