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chapter03sm

# chapter03sm - Solutions Chapter 3 3.1 Calculate the speed...

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Solutions Chapter 3 3.1. Calculate the speed of an electron in Si with kinetic energy 0.013 eV. Draw an equilibrium energy band diagram for silicon and indicate where this electron will be. Compare your calculated thermal speed to the typical drift velocities cited in the text of 10 4 cm/s. How does it compare to typical saturation velocities? The electron speed is ( ) ( ) 19 5 * -31 5 7 2 0.013 1.6 10 / 2 1.3 10 / 0.26 9.1 10 100 1.3 10 / 1.3 10 / K ce eV J eV E v m m kg cm m s cm s m × = = = × × = × × = × s Even with this very small kinetic energy, the electron’s instantaneous speed is still about 1000 times faster than the drift velocity. It is comparable to the drift saturation velocity for silicon of 1 × 10 7 cm/s. E C E V E g =1.12eV E K =0.013eV 3.2. Calculate the resistivity for a uniformly doped silicon sample with 10 17 donors per cubic centimeter. Anderson & Anderson 1 2/15/04 Solutions Chapter 3

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