Introduction | Mathematical
Analysis | Applet Tutorial | Applet
Worksheet | Quiz | SPICE/CAD | References
| Feedback
Quiz
- In the depletion region (the white region), which way does the total
Electric Field point ?
ans) From the n-side to the p-side, because of the positively chanrged
donor in n-side and negatively charged acceptor in p-side. From the
energy band diagram, E-field points toward higher energy : Field = 1/q
dE/dx.
- At zero bias (click the "reset" button), you should see the
electrons (blue dots) moving across the junction. Is the electron leakage
current (from p to n)
equal to the electron injection current (from n to
p) ? Is it true for holes also ?
- I deliberately made the leakage electrons slide down the potential,
where as the injection electrons move horizontally straight. Explain
the physical significance of this seemingly different flow of electrons.
- Under a reverse bias (negative p-side voltage, relative to the n-side),
change the doping level of the p-side by using the choice box at the bottom
and observe the electron leakage current.
- is it clear that the leakage current is constant, independent of the
applied bias ? Explain qualitatively why this is so (based on
your observation of the applet).
- What controls the magnitude of the electron leakage current ? (Hint:
The direction of electric field in the transition region, random thermal
motion of minority electrons near the depletion boundary).
- Under the forward bias (ie, p-side more positive than the n-side),
use the "helper" button to display parameter definitions.
- The amount of injected electrons is equal to the number which can go
to the p-side unhindered by the potential barrier. From
the band diagram, find the number of injected electrons, Nn, in terms of
the donor doping level, Nd, and the potential, V0 - V, where V0 is the
junction built-in potential and V is the applied bias.
- Should Nn be equal to the concentration of the excess minority electron
at the depletion boundary x = xp ? ans) Yes, assuming
no recombination loss in the depletion region.
- Show that
Nn = np(xp)
- np0 = np0 [ exp(qV/kT) - 1].
where np0 is the minority electron concentration in p-side at
equilibrium.
- Do the above steps for the number of injected holes, Np.
- The boundary condition for the number of electrons in the p-side is
- np(xp) at the p-side depletion boundary, x =
xp, and
- np0 at a position deep inside the bulk, x = infinity.
- Using this boundary condition, solve the steady-state diffusion equation
:
d2np(x)/dx2
= ( np(x) - np0 )/Ln2.
- The diffusion current density is found from
Jn(x) = qDn dnp(x)/dx.
Find the electron diffusion current at x = xp.
- Based on the above questions, do you understand the I-V equation for
an ideal diode ?