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The Zener diode and LED should be connected in series to that the anode of one device connects to the cathode of the other. Then, even if the 5-V source is connected in reverse, the reverse voltage across the LED will be less than 5 4:2 0:8 V < 3 V. When the dc source is connected to forward-bias the LED, we will have iD so that VS VFLED VFZ 5 1:6 0:6 20:6 mA 136 R 3 Iv 40iD 40 20:6 10 0:824 mcd

2.34 A Si diode has a saturation currrent Io 10 nA at T 3008K. (a) Find the forward current iD if the forward drop vD is 0.5 V. (b) This diode is rated for a maximum current of 5 A. What is its junction temperature at rated current if the forward drop is 0.7 V. Ans: a 2:47 A; (b) 405.48K Solve Problem 2.1 for a Si diode. Ans: vD > :0:2372 V

[by Theorem 30.4]

2.35 2.36

Laboratory data for a Si diode described by (2.1) show that iD 2 mA when vD 0:6 V, and iD 10 mA for vD 0:7 V. Find (a) the temperature for which the data were taken, and (b) the reverse saturation current. Ans: a 87:198C; b 2:397 A For what voltage vD will the reverse current of a Ge diode that is described by (2.1) reach 99 percent of its saturation value at a temperature of 3008K Ans: vD 0:1191 V Find the increase in temperature T necessary to increase the reverse saturation current of a diode by a factor of 100. Ans: 66:48C

Note!

By the mean-value theorem for integrals, the last integral is equal to hf (x ) for some x between x and x + h. Hence, g(x + h) g(x) = f (x ) h g(x + h) g(x) = lim f (x ) = Dx (g(x)) = lim h h 0 h 0

CHAP. 2]

The diode of Problem 2.34 is operating in a circuit where it has dynamic resistance rd 100 . What must be the quiescent conditions Ans: VDQ 0:263 V; IDQ 0:259 mA The diode of Problem 2.34 has a forward current iD 2 0:004 sin !t mA. Ans: vD 339:5 0:0207 sin !t mV vD VDQ vd , across the diode. Find the total voltage,

Find the power dissipated in the load resistor RL 100 of the circuit of Fig. 2-22(a) if the diode is ideal and vS 10 sin !t V. Ans: 206:6 mW The logic AND gate of Fig. 2-46(a) has trains of input pulses arriving at the gate inputs, as indicated by Fig. 2-47(b). Signal v2 is erratic, dropping below nominal logic level on occasion. Determine vo . Ans: 10 V for 1 t 2 ms, 5 V for 4 t 5 ms, zero otherwise.

Now as h 0, x + h x, and so x x (since x* lies between x and x + h). Since f is continuous,

Fig. 2-46