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Ex2_20.CIR - Zener diode spike clipper .PARAM f=1kHz T={1/f} vs 1 0 SIN ( 0V 10V {f} ) * Set 10V spike at positive peak of vs vp 2 1 PULSE ( 0V 10V {T/4} {T/100} {T/100} 1us {T} ) R 2 3 1ohm D1 4 3 DMOD ; Zener diode Z1 D2 4 0 DMOD ; Zener diode Z2 RL 3 0 50ohm .MODEL DMOD D( BV=9.3V IBV=1A ) .TRAN 1 us 2ms .PROBE .END

The nal values of BV and IBV shown in the code were determined by trial and error to give acceptable results, knowing that severe avalanche is approximately 1 V beyond the value of BV. Parameter IBV strongly in uences the slope of the diode characteristic in the avalanche region. The plot of Fig. 2-21(b) shows both the voltage vs vp impressed on the circuit and the resulting Zener current as the spike is clipped. Examination of the output voltage vL shows that the spike is clipped so that only a 0.42 V remnant of the original 10 V spike appears across the load resistor RL .

CHAP. 1]

2.1 At a junction temperature of 258C, over what range of forward voltage drop vD can (2.1) be approximated as iD % Io evD =VT with less than 1 percent error for a Ge diode

From (2.1) with 1, the error will be less than 1 percent if evD =VT > 101. In that range, vD > VT ln 101 kT 1:38 10 23 25 273 ln 101 4:6151 0:1186 V q 1:6 10 19

Fig. 7-7 Sometimes we deal with intervals that are unbounded on one side. [a, ) is made up of all x such that a x.

A Ge diode described by (2.1) is operated at a junction temperature of 278C. For a forward current of 10 mA, vD is found to be 0.3 V. (a) If vD 0:4 V, nd the forward current. (b) Find the reverse saturation current.

1. The amount of federal income tax withheld from a person is based on the individual s ______ and _______. 2. Form _____ will yield information pertaining to the number of ex emptions an employee is ling. 3. The payroll ______ is the input for the payroll entry. 4. The two types of payroll taxes imposed on the employer are ______ and _______. 5. The one tax that is paid by the employee and matched by the em ployer is ______. Answers: 1. ling status, number of exemptions; 2. W-4; 3. register; 4. FICA, unemployment; 5. FICA

(a) We form the ratio iD2 Io evD2 =VT 1 e0:4=0:02587 1 47:73 iD1 Io evD1 =VT 1 e0:3=0:02587 1 iD2 47:73 10 mA 477:3 mA

EXAMPLE The range of the function graphed in Fig. 7-6 is (0, ). The domain of the function graphed in Fig. 7-5(b) is ( , l]. 7.3 EVEN AND ODD FUNCTIONS A function f is called even if, for any x in the domain of f , x is also in the domain of f and f ( x) = f (x). EXAMPLES

Then (b) By (2.1),

10 10 3 91 nA e0:3=0:02587 1

(a) Let f (x) = x 2 for all x. Then f ( x) = ( x)2 = x 2 = f (x) and so f is even. (b) Let f (x) = 3x 4 5x 2 +2 for all x. Then f ( x) = 3( x)4 5( x)2 + 2 = 3x 4 5x 2 + 2 = f (x) Thus, f is even. More generally, a function that is de ned for all x and involves only even powers of x is an even function.

For the circuit of Fig. 2-22(a), sketch the waveforms of vL and vD if the source voltage vS is as given in Fig. 2-22(b). The diode is ideal, and RL 100 .

CHAP. 2]

Solved Problem 14.1 How many exemptions are permitted to be claimed on Form W-4 in the following cases: (a) Taxpayer and spouse (b) Taxpayer, spouse, and two children (c) Taxpayer, spouse, and mother she fully supported Solution: (a) 2; (b) 4; (c) 3 Solved Problem 14.2 Judy Bogan worked 44 hours during the rst week in February of the current year. The pay rate is $9 per hour. Withheld from her wages were FICA; federal income tax, $47; hospitalization, $7.20. Prepare the necessary payroll entry.