You need to construct a 200 pF capacitor for a science project. You plan to cut two L×L metal squares and place spacers between them. The th

Question

You need to construct a 200 pF capacitor for a science project. You plan to cut two L×L metal squares and place spacers between them. The thinnest spacers you have are 0.400 mmmm thick. What is the proper value of L ?

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Calantha 4 years 2021-08-11T06:11:31+00:00 1 Answers 19 views 0

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  1. Amity
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    2021-08-11T06:12:35+00:00
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    Answer:

    The proper value is 95 cm

    Explanation:

    Capacitors are a very common electronic components used to store charge for a period. The simplest kind of capacitors (and very studied on physics class ) are the two parallel plates capacitor. It consists of two parallel plates and some space between them, one plate is connected to a positive terminal of a source of voltage and the other pate is connected to the negative terminal. The capacitance of a parallel plate capacitor is:

    C=\frac{\varepsilon_{0}A}{d}

    with d the distance between the plates, A the area of the plates and εo the permittivity of vacuum that is 8.85419\times10^{-12}\frac{C^{2}}{Nm^{2}}

    Knowing the area of a square plate is A=LxL = L^2 :

    C=\frac{\varepsilon_{0}L^2}{d}

    Solving for L:

    L=\sqrt{\frac{dC }{\varepsilon_{0}}}=\sqrt{\frac{(0.4\times10^{-3})(200\times10^{-12})}{8.85419\times10^{-12}}}

    L=0.095 m

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