i) 1) Write down the equations for obtaining the current in the p- and n- sides. 2) Why is the drift current due to minority carriers in the quasi neutral p- and n-sides zero. j) Calculate the minority carrier diffusion current density as a function of distance on the n-side and p-side of the device assuming a forward bias of 0.5 V. Carefully plot and label your results.

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1. A silicon pn junction diode at room temperature is doped with NA- 2x1016
/cm' in the p-region and Np 107 /cm' in the n-region. Assume that the
intrinsic carrier concentration n= 101° /cm' and band gap energy Eg-1.1 eV.
Further assume that t,=1,=1 us, 4,=800cm?/V/s, 4,-200cm/V/s n=100.
The relative permittivity of Si is ɛ, =11.8 and permittivity of free space is
E=8.84x1014 F/cm.
A forward bias voltage of VA-0.5 V is applied.
%3D
Transcribed Image Text:1. A silicon pn junction diode at room temperature is doped with NA- 2x1016 /cm' in the p-region and Np 107 /cm' in the n-region. Assume that the intrinsic carrier concentration n= 101° /cm' and band gap energy Eg-1.1 eV. Further assume that t,=1,=1 us, 4,=800cm?/V/s, 4,-200cm/V/s n=100. The relative permittivity of Si is ɛ, =11.8 and permittivity of free space is E=8.84x1014 F/cm. A forward bias voltage of VA-0.5 V is applied. %3D
i) 1) Write down the equations for obtaining the current in the p- and n-
sides.
2) Why is the drift current due to minority carriers in the quasi
neutral p- and n-sides zero.
) Calculate the minority carrier diffusion current density as a function of
distance on the n-side and p-side of the device assuming a forward
bias of 0.5 V. Carefully plot and label your results.
k) Assuming that the velocity of carriers within the depletion region is
approximately v=5x107 cm/sec, calculate the amount of time
required for a carrier to cross the depletion region. Using your answer
above and the given minority carrier lifetimes justify the diode
assumption which states that there is no recombination in the
depletion region.
Transcribed Image Text:i) 1) Write down the equations for obtaining the current in the p- and n- sides. 2) Why is the drift current due to minority carriers in the quasi neutral p- and n-sides zero. ) Calculate the minority carrier diffusion current density as a function of distance on the n-side and p-side of the device assuming a forward bias of 0.5 V. Carefully plot and label your results. k) Assuming that the velocity of carriers within the depletion region is approximately v=5x107 cm/sec, calculate the amount of time required for a carrier to cross the depletion region. Using your answer above and the given minority carrier lifetimes justify the diode assumption which states that there is no recombination in the depletion region.
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