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for Ge, while 10 3 A < IR < 1 A for Si, for signal-level diodes (forward current ratings of less than 1 A). For a forward bias, the onset of low-resistance conduction is between 0.2 and 0.3 V for Ge, and between 0.6 and 0.7 V for Si. For both Si and Ge diodes, the saturation current Io doubles for an increase in temperature of 108C; in other words, the ratio of saturation current at temperature T2 to that at temperature T1 is Io 2 2 T2 T1 =10 Io 1 2:2

Items on Bank Statements But Not on Books Service charges. The bank generally deducts amounts for bank services. The exact amount is usually not known by the depositor until the state ment is received. The amount should be deducted from the book balance. NSF (not suf cient funds) checks. NSF checks have been deposited but cannot be collected due to insuf cient funds in the account of the draw er of the check. The bank then issues a debit memorandum charging the depositor s account. The amount should be deducted from the book bal ance. Collections. The bank collects notes and other items for a small fee. The bank then adds the proceeds to the account and issues a credit memoran dum to the depositor. Often there are unrecorded amounts at the end of the month. The amounts should be added to the book balance. Bank Errors. Bank errors should not be entered on the books. They should be brought to the attention of the bank and corrected by the bank. Journal entries used in accounting for the differences between the bank balance and the depositor s balance is known as a bank reconciliation.

Fig. A-14

Example 2.3. Find the percentage increase in the reverse saturation current of a diode if the temperature is increased from 258C to 508C. By (2.2), Io 2 2 50 25 =10 100% 565:7% Io 1

Static terminal characteristics are generally adequate for describing diode operation at low frequency. However, if high-frequency analysis (above 100 kHz) or switching analysis is to be performed, it may be necessary to account for the small depletion capacitance (typically several picofarads) associated with a reverse-biased p-n junction; for a forward-biased p-n junction, a somewhat larger di usion capacitance (typically several hundred picofarads) that is directly proportional to the forward current should be included in the model. (See Problem 2.25.)

24.13 h = 6 in, r = 3 2 in. 2 3 2 at x = , absolute min = 0 (at x = 0); (b) see Fig. A-15. 24.14 (a) Absolute max = 9 2 24.15 Height = 8 m, side of base = 4 m. 24.16 1500 per day. 24.17 x = 2, y = 6. 24.19 3 3 3 3 , , , . 4 4 4 4

The element speci cation statement for a diode must explicitly name a model even if the default model parameters are intended for use. The general form of the diode speci cation statement is as follows, where the model name is arbitrarily chosen: D n1 n2 model name

Node n1 is the anode and node n2 is the cathode of the diode. Positive current and voltage directions are clari ed by Fig. 2-1(b). In addition, the .MODEL control statement must be added to the netlist code even if the default parameters are acceptable. This control statement is .MODEL model name D (parameters)

24.18 (a) k = 8; (b) see Fig. A-16; the in ection point is at (161/3 , 0); (c) k = 0. 24.22 Absolute min = 0 at x = 0, no absolute max.

If the parameters eld is left blank, default values are assigned. Otherwise, the parameters eld contains the number of desired speci cations in the format parameter name value. Speci c parameters that are of concern in this book are documented by Table 2-1.