Mathematics, 06.12.2020 20:40 itscheesycheedar
A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barrier with a barrier height of Vo = 0.4 eV, the electron energy is 0.04 eV Determine the maximum barrier width.
Answers: 3
![k = \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }](/tpl/images/0954/7453/653f5.png)
![k = \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }](/tpl/images/0954/7453/1d41a.png)
![T = 16 * \frac{E}{V_o } * [1 - \frac{E}{V_o} ] * e^{-2 * k * a}](/tpl/images/0954/7453/d4b42.png)
![1.0 *10^{-5} = 16 * \frac{0.04}{0.4 } * [1 - \frac{0.04}{0.4} ] * e^{-2 * 3.0736 *10^{9} * a}](/tpl/images/0954/7453/1cd02.png)
![ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}](/tpl/images/0954/7453/3c5e3.png)
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