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    ---
    title: Problem Set 8
    ---
    
    ## (11.1)
    
    ### (a)
    
    {:.question}
    Derive equation (11.28) by taking the integral and limit of equation (11.27).
    
    ### (b)
    
    {:.question}
    Show that equation (11.29) follows.
    
    ## (11.2)
    
    {:.question}
    What is the expected occupancy of a state at the conduction band edge for Ge, Si, and diamond at
    room temperature (300 K)?
    
    ## (11.3)
    
    {:.question}
    Consider Si doped with 1017 As atoms/cm3.
    
    ### (a)
    
    {:.question}
    What is the equilibrium hole concentration at 300 K?
    
    ### (b)
    
    {:.question}
    How much does this move EF relative to its intrinsic value?
    
    ## (11.4)
    
    {:.question}
    Design a tristate CMOS inverter by adding a control input to a conventional inverter that can force
    the output to a high impedance (disconnected) state. These are useful for allowing multiple gates to
    share a single wire.