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23.19 (a) (0, + ) (b) x = 0, rel. min.; (c) concave upward for |x| < 1, I( 1, 0); (d) see Fig. A-13, horizontal asymptote y = 3. 23.20 (a) 1 < x < 0 or 0 < x < 2 or 2 < x < 3; (b) 0 < x < 2 or x > 4.

Step 4: If vS < 0, then iD < 0 and the result of step 3 is invalid. Diode D must be replaced by an open circuit as illustrated in Fig. 2-3(c), and the analysis performed again. Since now iD 0, vL iD RL 0. Since vD vS < 0, the reverse bias of the diode is veri ed.

(See Problem 2.4 for an extension of this procedure to a multidiode circuit.)

ANS.]

Use of the Fermi-Dirac probability function to predict charge neutralization gives the static (nontime-varying) equation for diode junction current: iD Io evD = VT 1 A where VT kT=q; V vD diode terminal voltage, V Io temperature-dependent saturation current, A T absolute temperature of p-n junction, K k Boltzmann s constant 1:38 10 23 J/K) q electron charge 1:6 10 19 C empirical constant, 1 for Ge and 2 for Si

We describe the entries in the general journal according to the number ing in the table above: 1. Date. The year, month, and day of the rst entry are written in the date column. The year and month do not have to be repeated for the ad ditional entries until a new month occurs or a new page is needed. 2. Description. The account title to be debited is entered on the rst line, next to the date column. The name of the account to be credited is entered on the line below and indented. 3. P.R. (Posting Reference). Nothing is entered in this column until the particular entry is posted, that is, until the amounts are transferred to

Example 2.2. Find the value of VT in (2.1) at 208C. Recalling that absolute zero is 2738C, we write VT kT 1:38 10 23 273 20 25:27 mV q 1:6 10 19

24.4 (a) No maximum; (b) 10 m by 10 m. 24.7 Height = 7 ft, side of base = 6 ft. 24.9 10 cm. 24.5 (0, 0). 24.6

2:1

While (2.1) serves as a useful model of the junction diode insofar as dynamic resistance is concerned, Fig. 2-4 shows it to have regions of inaccuracy:

Fig. A-13

Fig. 2-4 1. 2. The actual (measured) forward voltage drop is greater than that predicted by (2.1) (due to ohmic resistance of metal contacts and semiconductor material). The actual reverse current for VR vD < 0 is greater than predicted (due to leakage current IS along the surface of the semiconductor material).

3. The actual reverse current increases to signi cantly larger values than predicted for vD < VR (due to a complex phenomenon called avalanche breakdown). In commercially available diodes, proper doping (impurity addition) of the base material results in distinct static terminal characteristics. A comparison of Ge- and Si-base diode characteristics is shown in Fig. 2-5. If VR < vD < 0:1 V, both diode types exhibit a near-constant reverse current IR . Typically, 1 A < IR < 500 A

the related ledger accounts. The posting process will be described in the next section. 4. Debit. The debit amount for each account is entered in this col umn. Generally, there is only one item, but there could be two or more separate items. 5. Credit. The credit amount for each account is entered in this col umn. Here again, there is generally only one account, but there could be two or more accounts involved with different amounts. 6. Explanation. A brief description of the transaction is usually made on the line below the credit. Generally, a blank line is left between the ex planation and the next entry.

CHAP. 2]

3 1 3 1 , , , . 2 2 2 2

IR = Io + IS (Ge) IR = Io + IS (Si)

0 0.3 0.7

1 3 . 24.11 (a) See Fig. A-14; (b) , 3 4

Fig. 2-5