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Contents
Electronic Devices
and Integrated
Circuits
Table of Contents
Index
Copyright
Dedication
Preface
Acknowledgements
Ch. 1. Physics of
Semiconductors
Ch. 2. Physical Phenomenon
in Homojunction
Ch. 3. Diode as Circuit
Element
Ch. 4. Junction Diode
Rectifier
Introduction
Half-wave Rectifier
Full-wave Rectifier
Bridge Rectifier
Transformer Utilization
Factor
Passive Filter
Voltage Multiplier
Voltage Regulation
SOLVED PROBLEMS
EXERCISES
Ch. 5. Physical Phenomenon
in BJT
Ch. 6. Physical Phenomenon
in JFET and MOSFET
Ch. 7. Biasing
Ch. 8. BJT Amplifiers
Ch. 9. FET Amplifiers
Ch. 10. Frequency Response
of BJT Amplifiers
Ch. 11. Multistage Amplifiers
Ch. 12. Feedback in
Amplifiers
Ch. 13. Oscillators
Ch. 14. Power Amplifiers
Ch. 15. Operational Amplifier
Ch. 16. Regulated Power
Supplies
Ch. 17. Integrated Circuit
Timers
Ch. 18. Special Two-terminal
Devices
Ch. 19. Tuned Amplifier
Bibliography
Index
4.9. SOLVED PROBLEMS
1. Determine the peak and rms voltages on the secondary of a
transformer connected across a bridge rectifier to provide a no
load dc voltage of 9 V. If the secondary winding resistance is 3 Ω
and dynamic resistance of each diode is 1 Ω, determine the dc
output across a load resistance of 100 Ω and 1 K. Also determine
the regulation.
Solution:
2. A 220 V, 60 Hz voltage is applied to a centre tapped step-down
transformer of 22: 1 with a load of 1 K connected across the
output of two-diode full-wave rectifier. Assume diodes to be
ideal. If the resistance of half-secondary winding is 0.5 Ω,
determine the (a) peak, rms and dc voltages, (b) peak, rms and
dc currents, (c) dc power delivered to the load, (d) VA rating of
the transformer secondary, (e) ac input to transformer assuming
it to be 80% efficient, (f) ac ripple voltage across the load and
its frequency, (g) How much is the PIVof each diode if the circuit
is changed to a bridge rectifier using the full secondary winding
of the same transformer? (h) How much are the peak, rms, dc
voltages?
Solution:
(a) Vm (between full secondary) = 10√2 = 14.14 V
vrms (full secondary) = 10 V, Vm (half secondary) =
7.07 V
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 2/8
(c) DC power delivered the load = I2
DCRL = (4.495
mA)21 K = 20.2 mW
(d) VA rating of the transformer can be found out using
TUF.
(f) As the ripple voltage under consideration would be
the second harmonics because the magnitude of higher
harmonics will become much less than it. Hence, the ac
ripple voltage is expressed as
3. Calculate the VDC, IDC, Vr(rms), Irms through a 1 KΩ load
connected to a half-wave rectifier circuit shown in Fig. 4.29 (a).
Figure 4.29(a). Figure 4.29(a)
Figure 4.29(b). Figure 4.29(b)
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
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Solution:
4. A sinusoidal voltage of 22 V, 50 Hz is applied to a half-wave
rectifier in Fig. 4.29(a) with dynamic resistance of the diode of
1 W. Calculate the maximum dc and rms currents flowing
through the load. Also calculate the dc output power developed,
ac-input power supplied, rectification efficiency, and ripple
factor.
Solution:
5. A 230 V−0−230 V input voltage is connected to a full-wave
rectifier shown in Fig. 4.30. Calculate the dc, ac voltages, dc
and ac power developed across the load. Also calculate the dc,
rms currents that will flow through the load.
Solution:
Figure 4.30. Figure 4.30
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 4/8
Pin(ac) = V2
rmsRL = 2302 × 1 K = 52.9 W
6. Obtain number of turns in the primary and secondary of a
transformer connected in Fig. 4.31 to develop a dc voltage of 10
V across a load off 1 KΩ. What is the frequency of the ac voltage
present across the load?
Figure 4.31. Figure 4.31
Solution:
Figure 4.32. Figure 4.32
If there are 100 turns in the primary, then it must have 10 turns
in the secondary.
Frequency of the ac voltage present across the load = fin = 50
Hz.
7. Calculate the ripple factor without and with capacitor filter in
Fig. 4.32.
Solution:
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 5/8
Theoretical ripple factor including filter =
8. What is the value of VDC and Vac developed across the load in
circuit of Fig. 4.33 assuming all diodes to be ideal. What is the
frequency of ac voltage present across load?
Figure 4.33. Figure 4.33
Solution:
Frequency of the ac voltage present across the load = 2fin = 100
Hz.
9. Design a full-wave rectifier with LC filter to provide 10 V dc at
100 mA along with maximum ripple of 2%. The frequency of
input voltage is 50 Hz. Determine the ripple factor of the LC
filter.
Solution:
10. Figure 4.34 is the output waveform of a half-wave rectifier with
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 6/8
capacitor filter. The value of the capacitor is 1000 μF and the
value of load resistance is 100 Ω with frequency of input voltage
equal to 50 Hz. Determine the ripple factor and dc voltage.
Figure 4.34. Figure 4.34
Solution:
Ripple factor from theoretical expression is
11. Calculate the ripple factor in the case of a full-wave rectifier with
π-filter having the component values C1 = C2 = 500 μF and laod
resistance = 100 Ω.
Solution:
Expression for ripple factor = r =
Show that maximum dc power is transferred to the load in a full-
wave rectifier only when the dynamic resistance of the diode is
equal to the load resistance.
12. Design a full-wave rectifier with an LC filter that can yield dc
voltage of 9 V at 100 mA with a maximum ripple of 2%.
Solution:
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 7/8
if LC is selected to be ten times higher than 0.13 H i.e. 1.3 H,
then C = 46 μF = 50 μF (standard value).
RB = 700Lmax = 700 × 1.3 H = 910Ω
Since RB is ten times higher than the load resistance RL = 90 Ω,
it will waste little power with the advantage of using L > LC.
13. A full-wave rectifier uses the LC filter as shown in Fig. 4.35
having the component values as L = 30 H, C = 25 μF. Calculate
the value of bleeder resistance required for the rectified voltage
= 250sin 100πt. If the value of load resistance is RL connected
in 10 KΩ, what would be the value of (a) filter dc output voltage,
(b) dc current through bleeder resistance, (c) dc current through
the load, (d) ripple factor?
Solution:
Value of bleeder resistance (load resistance is open) = RB = 3ωL
= 3 × 2πf × L = 28.3 KΩ
Figure 4.35. Figure 4.35
16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online
http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 8/8
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Solved problems on rectifiers

  • 1. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 1/8 Free Trial Sign In This Book Search Contents Electronic Devices and Integrated Circuits Table of Contents Index Copyright Dedication Preface Acknowledgements Ch. 1. Physics of Semiconductors Ch. 2. Physical Phenomenon in Homojunction Ch. 3. Diode as Circuit Element Ch. 4. Junction Diode Rectifier Introduction Half-wave Rectifier Full-wave Rectifier Bridge Rectifier Transformer Utilization Factor Passive Filter Voltage Multiplier Voltage Regulation SOLVED PROBLEMS EXERCISES Ch. 5. Physical Phenomenon in BJT Ch. 6. Physical Phenomenon in JFET and MOSFET Ch. 7. Biasing Ch. 8. BJT Amplifiers Ch. 9. FET Amplifiers Ch. 10. Frequency Response of BJT Amplifiers Ch. 11. Multistage Amplifiers Ch. 12. Feedback in Amplifiers Ch. 13. Oscillators Ch. 14. Power Amplifiers Ch. 15. Operational Amplifier Ch. 16. Regulated Power Supplies Ch. 17. Integrated Circuit Timers Ch. 18. Special Two-terminal Devices Ch. 19. Tuned Amplifier Bibliography Index 4.9. SOLVED PROBLEMS 1. Determine the peak and rms voltages on the secondary of a transformer connected across a bridge rectifier to provide a no load dc voltage of 9 V. If the secondary winding resistance is 3 Ω and dynamic resistance of each diode is 1 Ω, determine the dc output across a load resistance of 100 Ω and 1 K. Also determine the regulation. Solution: 2. A 220 V, 60 Hz voltage is applied to a centre tapped step-down transformer of 22: 1 with a load of 1 K connected across the output of two-diode full-wave rectifier. Assume diodes to be ideal. If the resistance of half-secondary winding is 0.5 Ω, determine the (a) peak, rms and dc voltages, (b) peak, rms and dc currents, (c) dc power delivered to the load, (d) VA rating of the transformer secondary, (e) ac input to transformer assuming it to be 80% efficient, (f) ac ripple voltage across the load and its frequency, (g) How much is the PIVof each diode if the circuit is changed to a bridge rectifier using the full secondary winding of the same transformer? (h) How much are the peak, rms, dc voltages? Solution: (a) Vm (between full secondary) = 10√2 = 14.14 V vrms (full secondary) = 10 V, Vm (half secondary) = 7.07 V
  • 2. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 2/8 (c) DC power delivered the load = I2 DCRL = (4.495 mA)21 K = 20.2 mW (d) VA rating of the transformer can be found out using TUF. (f) As the ripple voltage under consideration would be the second harmonics because the magnitude of higher harmonics will become much less than it. Hence, the ac ripple voltage is expressed as 3. Calculate the VDC, IDC, Vr(rms), Irms through a 1 KΩ load connected to a half-wave rectifier circuit shown in Fig. 4.29 (a). Figure 4.29(a). Figure 4.29(a) Figure 4.29(b). Figure 4.29(b)
  • 3. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 3/8 Solution: 4. A sinusoidal voltage of 22 V, 50 Hz is applied to a half-wave rectifier in Fig. 4.29(a) with dynamic resistance of the diode of 1 W. Calculate the maximum dc and rms currents flowing through the load. Also calculate the dc output power developed, ac-input power supplied, rectification efficiency, and ripple factor. Solution: 5. A 230 V−0−230 V input voltage is connected to a full-wave rectifier shown in Fig. 4.30. Calculate the dc, ac voltages, dc and ac power developed across the load. Also calculate the dc, rms currents that will flow through the load. Solution: Figure 4.30. Figure 4.30
  • 4. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 4/8 Pin(ac) = V2 rmsRL = 2302 × 1 K = 52.9 W 6. Obtain number of turns in the primary and secondary of a transformer connected in Fig. 4.31 to develop a dc voltage of 10 V across a load off 1 KΩ. What is the frequency of the ac voltage present across the load? Figure 4.31. Figure 4.31 Solution: Figure 4.32. Figure 4.32 If there are 100 turns in the primary, then it must have 10 turns in the secondary. Frequency of the ac voltage present across the load = fin = 50 Hz. 7. Calculate the ripple factor without and with capacitor filter in Fig. 4.32. Solution:
  • 5. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 5/8 Theoretical ripple factor including filter = 8. What is the value of VDC and Vac developed across the load in circuit of Fig. 4.33 assuming all diodes to be ideal. What is the frequency of ac voltage present across load? Figure 4.33. Figure 4.33 Solution: Frequency of the ac voltage present across the load = 2fin = 100 Hz. 9. Design a full-wave rectifier with LC filter to provide 10 V dc at 100 mA along with maximum ripple of 2%. The frequency of input voltage is 50 Hz. Determine the ripple factor of the LC filter. Solution: 10. Figure 4.34 is the output waveform of a half-wave rectifier with
  • 6. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 6/8 capacitor filter. The value of the capacitor is 1000 μF and the value of load resistance is 100 Ω with frequency of input voltage equal to 50 Hz. Determine the ripple factor and dc voltage. Figure 4.34. Figure 4.34 Solution: Ripple factor from theoretical expression is 11. Calculate the ripple factor in the case of a full-wave rectifier with π-filter having the component values C1 = C2 = 500 μF and laod resistance = 100 Ω. Solution: Expression for ripple factor = r = Show that maximum dc power is transferred to the load in a full- wave rectifier only when the dynamic resistance of the diode is equal to the load resistance. 12. Design a full-wave rectifier with an LC filter that can yield dc voltage of 9 V at 100 mA with a maximum ripple of 2%. Solution:
  • 7. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 7/8 if LC is selected to be ten times higher than 0.13 H i.e. 1.3 H, then C = 46 μF = 50 μF (standard value). RB = 700Lmax = 700 × 1.3 H = 910Ω Since RB is ten times higher than the load resistance RL = 90 Ω, it will waste little power with the advantage of using L > LC. 13. A full-wave rectifier uses the LC filter as shown in Fig. 4.35 having the component values as L = 30 H, C = 25 μF. Calculate the value of bleeder resistance required for the rectified voltage = 250sin 100πt. If the value of load resistance is RL connected in 10 KΩ, what would be the value of (a) filter dc output voltage, (b) dc current through bleeder resistance, (c) dc current through the load, (d) ripple factor? Solution: Value of bleeder resistance (load resistance is open) = RB = 3ωL = 3 × 2πf × L = 28.3 KΩ Figure 4.35. Figure 4.35
  • 8. 16/5/2014 Electronic Devices and Integrated Circuits > Junction Diode Rectifier > SOLVED PROBLEMS - Pg. : Safari Books Online http://my.safaribooksonline.com/book/electrical-engineering/semiconductor-technology/9788177589788/junction-diode-rectifier/solved_problems-003 8/8 Get instant access to over $1 million worth of books and videos. You are currently reading a PREVIEW of this book. Start a Free 10-Day Trial