EECE 310 Homework 4, Fall 2011
American University of Beirut · Electronics · 2 pages
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American University of Beirut
DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
EECE 310 – Electronics
Fall 2011 – 2012
Due Wednesday October 26, 2011 at 9:00 am
Homework 4
1. [50 points] Design a Zener voltage regulator to provide a regulated voltage of
around 9 V. The available 9 V, 0.5 W Zener is specified to have a drop of 9 V at a test
current
of
10 mA. At this value of current rZ is specified to be 25 . The value of IZK for the diode
is 2 mA. The unregulated supply varies between 10.5 V and 14 V. The regulator is
required to supply a load that draws a current of 5 to 20 mA.
a.
[5 points] Find VZ0 for the Zener diode.
b. [5 points] Find IZmax. [5 points] Find the Zener voltage when the Zener
current is at IZmax.
c.
[5 points] Calculate the range of values for the resistor R in the circuit.
d. Using a value of R that is close, to the nearest [5 points] standard 5%
tolerance resistor value, to the upper range:
i. [5 points] Find the change in load voltage that corresponds to
the 10.5-to-14 V variation in the unregulated supply voltage.
Assume that the load current is constant.
ii. [5 points] Find the change in load voltage that corresponds to
the full change in load current. Assume that the supply voltage
is fixed.
iii. [5 points] What is the maximum current that the Zener diode
should be able to conduct? [5 points] What is the Zener power
dissipation under this condition? [5 points] What is the worst-
case power dissipation in the resistor R?
2. [25 points] Consider the waveform shown in Figure 1.
Figure 1
Assume that T = 1/50 sec. This voltage is the input to a half-wave rectifier with a
capacitor filter. The diode drops 0.75 V when conducting, and the load draws a
constant current of 15 mA.
a.
[5 points] Calculate the value of the capacitor if the ripple voltage
is at most 0.5 V.
b. [5 points] For what fraction of the cycle does the diode conduct?
c.
[5 points] Find the average diode current.
d. [5 points] Find the peak diode current.
e.
[5 points] Find the PIV for the diode.
3. [25 points] Repeat Problem 2 for the case in which the rectifier is a full-wave
rectifier using a 4-diode bridge.