question bank btech i sem/iii_eee_i_sem.pdf · question bank faculty name: d l mythri pulse and...

DADI INSTITUTE OF ENGINEERING & TECHNOLOGY

(Approved by A.I.C.T.E., New Delhi& Affiliated to JNTUK, Kakinada)

NAAC Accredited Institute E–Mail: [email protected], Web: www.diet.edu.in

III B.TECH EEE (A&B) – II – SEM

QUESTION BANK

Faculty Name: D L Mythri

PULSE AND DIGITAL CIRCUITS

UNIT-1

CO Level Q.No Questions 1 6 1 Compare the response of RC circuit taken across R and C for exponential input

1 2 2 How RC circuit behaves as a differentiator and an Integrator? Discuss.

1 3 3 Sketch the output voltage levels of RC low pass circuit for square wave input.

1 6 4 Evaluate an expression for the output voltage levels under steady state conditions of a low pass circuit excited by a ramp input.

1 4 5 Analyze the output waveform of an RC high-pass circuit with a square wave input under different time constants. Derive the expression for percentage of tilt

UNIT-2

CO Level Q.No Questions 2 6 1 Explain the operation of BJT clipper

2 6 2 Draw the circuit of emitter coupled clipper and explain the operation

2 6 3 Explain clamping circuit theorem by including cut-in voltage of diode.

2 6 4 Compare series and shunt clippers with all possible cases.

2 5 5 Design a two level clipper for bias voltages V1=5V and V2= -5V. Use practical diodes

UNIT-3

CO Level Q.No Questions 3 3 1 Sketch the circuit of emitter coupled binary and its wave forms with all details

3 5 2 Summarize the switching characteristics of diode and BJT

3 6 3 Describe how a transistor functions as a switch in the CE configuration in ON

state and in OFF state. How does the temperature affect the saturation junction

voltages of a transistor

3 6 4 A self-biased binary uses n-p-n transistors have maximum values of VCE(sat)=0.4V and VBE(sat) = 0.8V and VBE (cutoff) = 0V. The circuit parameters are VCC = 15V, RC = 1KΩ, R1 = 6KΩ, R2 = 15KΩ and RE = 500Ω. i) Evaluate the stable-state currents and voltages. ii) Find the minimum value of hFE required for BJT to provide the above stable state values. iii) Also determine ICBO(max) to which ICBO raises as temperature rises where neither BJT is off.

3 6 5 Explain with the help of suitable waveforms the switching times of a diode switch. Derive the expression for reverse recovery time

UNIT-4

CO Level Q.No Questions 4 6 1. Explain the operation of one - shot multivibrator and derive the expression

for its pulse width.(10M)

4 4 2. For a mono stable multi vibrator, calculate the input pulse width for the

design values of RC = 2 kΩ,RB = 10 kΩ, C = 0.1 μF, VCC = 10 V, VBE(sat)

= 0.8 V. (10M) 4 6 3. In an astablemultivibrator, the base resistors are of 12.5 kΩ and the

capacitors are of 0.01μF.evaluate the pulse repetition rate and also draw

the circuit diagram of it.. (10M)

4 6 4. Explain the operation of astablemultivibrator.(10M)

4 6 5. Explain in detail about the applications of Monostable

andastablemultivibrators with neat diagram.

UNIT-5

CO Level Q.No Questions

5 1&2 1. Why time-base generators are called sweep generators and alsocompare

the sweep time and the Restoration time for time-base generators. What

are the applications of it? (10M)

5 1 2. Define the terms slope error, displacement error and transmission error of

time-base signal andderive the relation among them.List the general

features of time based signal.(10M)

5 3 3. With the circuit diagram explain voltage time base generator and write

the basic principles of bootsrap and miller time base genarators. (10M)

5 3 4. Explain with a circuit the working of a UJT sweep circuit and obtain the

expressions for the intrinsic stand-off ratio (η). (10M)

5 1 5 Find the component values of a bootstrap sweep generatr, given

VCC=18V, IC(sat)=2mA, and hfe(min)=30. (10M)

UNIT-6


6 3 1. Construct and explain the two-input AND & OR gates using diodes,three-

input NOR gate using RTLand explain their operation with the help of

truthtables.(10M)

6 2&3 2. Draw and explain the circuit diagram of NOR logic by applying

ECLlOGIC and explain the working of a CMOS inverter. (10M)

6 2 3. Distinguish the unidirectional and bidirectional sampling gates and also

write some Applications of sampling gates.(10M)

6 3 4. Explain about the four diode and six diode sampling gate (10M)

6 1&2 5. Compare different logic families(10M)

DADI INSTITUTE OF ENGINEERING &TECHNOLOGY (Approved by A.I.C.T.E., New Delhi & Affiliated to JNTUK)

NAAC Accredited Institute

An ISO 9001:2008, ISO 14001:2004 & OHSAS 18001:2007 Certified Institute.

NH-5, Anakapalle – 531002, Visakhapatnam, A.P.

Phone: 08924-221111 / 221122/9963981111, www.diet.edu.in, E-mail: [email protected]

QUESTION BANK (POWER ELECTRONICS)

Academic Year : 2019-20

Name of the Faculty : M Rajendra Prasad/ P Jagruthi

Designation : Assistant Professor

Department : Electrical &Electronics Engineering

Year/Semester : III YEAR –I SEMESTER(EEE A&B)

Course : POWER ELECTRONICS

UNIT-1

CO LEVEL Q.NO QUESTION

2 6 1 An SCR is operating at peak supply voltage of is 325 V and it has the

following parameters

Repetitive peak current ,Ip = 100 A, 𝑑𝑣

𝑑𝑡|𝑚𝑎𝑥 = 500𝑉/µ𝑠𝑒𝑐

𝑑𝑖

𝑑𝑡|𝑚𝑎𝑥 = 50𝐴/µ𝑠𝑒𝑐

Design a snubber circuit for SCR protection, assume the factor safety is

2, and minimum value of resistance is 25 Ω

1 3 2 Draw the V-I characteristics of a power MOSFET and explain different

operating regions.

1 3 3 Draw the V-I characteristics of SCR and explain it briefly?

1 3 4 Draw the switching characteristics of power MOSFETs. Define turn-

ON delay time, rise time, turn – ON time, turn- OFF delay time, fall

time and turn- OFF time.

1 1 5 Describe the basic behavior of thyristor using a two- transistor model.

1 4 6 Explain switching characteristic of IGBT and compare MOSFET and

IGBT?

Unit-2


3 4 1 A single phase 220 V, 1 kW heater is connected to a half- wave

controlled rectifier and fed from a 220 V, 50 Hz ac supply, Determine

the power absorbed by the heater when the firing angle is i) α = 30o and

ii) α = 90o

3 4 2 A single phase fully controlled bridge converter with RL load is

supplied from 220

V, 50 Hz ac supply. If the firing angle is 45o, determine i) average

output voltage, ii)

output current iii) input power factor.






3 3 3 What is the effect of source inductance in single –phase full – wave

controlled bridge rectifier with RL load and Draw the voltage and

current waveforms

3 4 4 Draw the circuit diagram of a single – phase full wave controlled

rectifier using centre tap transformer with R load and find dc output

voltage.

3 4 5 A single phase full-wave ac voltage controller feeds a load of R=30

Ohms with an input voltage of 230V, 50Hz. Firing angle for both the

thyristors is 65°. Calculate (i) rms value of output voltage. (iii) Average

and rms current of thyristors.

3 2 6 Explain the operation of single phase half wave converter with RL load

and freewheeling diode and also deduce the expression for average load

current.

Unit-3


3 4 1 A three –phase full converter is connected to a load resistance of 5

Ohms and it is supplied from a 220 V, 50 Hz ac supply, If the firing

angle of thyristor is α =30o,determine i) average output voltage, ii)

average output current, iii) rms output voltage and iv) rms output

current.

3 4 2 Draw the circuit diagram of three – phase, half –wave controlled

rectifier with R load. Determine the following parameters for R load

with firing angle α = 60o :

i) dc output voltage ii) Average dc load current iii) rms output voltage

iv) rms load current.

3 4 3 Draw the circuit diagram of a three phase bridge converter with RL load and its corresponding voltage & current waveforms. Determine the

following parameters:

i) dc output voltage ii) average dc load current iii) rms output voltage

iv) rms load current .

3 5 4 Design a three phase dual converter to achieve at four quadrant

operation for Id = 10 A at 200 V. The converter is supplied from 400 V,

three phase and 50 Hz supply. Iripple =2A.

3 3 5 Explain the effect of source inductance on three phase full converter in

detail.

3 4 6 Draw the circuit diagram of three – phase, full –wave controlled

rectifier with R load. Determine the following parameters for R load

with firing angle α = 30o :

i) dc output voltage ii) Average dc load current iii) rms output voltage

iv) rms load current.






Unit-4


4 L2 1 Explain the operating principle of dc chopper with a suitable diagram

along with voltage and current waveforms. Derive expressions for

average output voltage and rms output voltage.

4 L2 2 Explain the different control strategies in DC-DC circuits

4 L2 3 Discuss the Principle of operation of forward and fly back converters in

CCM

4 L2 4 With the help of a neat circuit diagram and associated waveforms,

discuss the operation of Buck-Boost converter.

4 L2 5 With help of neat circuit diagram and associated waveforms discuss the

operation of a Buck converter in continuous conduction mode and

discontinuous conduction mode.

4 L2 6 Explain the operation of Boost chopper with relevant waveforms and

derive the expression for average output voltage.

Unit-5


5 L2 1 With the help of a neat circuit diagram and waveforms, explain the

operation of 3-phase bridge inverter with R load.

5 L1 2 What are pulse width modulated inverters? What are the different PWM

techniques used in inverter?

5 L1 3 What is pulse width modulation? List the various PWM techniques.

How do these differ from each other?

5 L4 4 A single-phase PWM inverter is fed from a 220 V dc supply and it is

connected to a RL load with R=10 ohms and L=10 mH. Determine the

total harmonic distortion in

the load current .Assume width of each pulse is _/2 and the output

frequency is 50 Hz.

5 L2 5 Explain the working of a 1-phase full bridge Inverter with RL load.

Draw the relevant output waveforms.

5 L2 6 Explain the operation of three phase bridge inverter for 120° mode of

operation with aid of relevant phase and line voltage waveforms.

Unit-6







6 L1 1 Describe the V-I characteristics of TRIAC and modes of operation.

6 L4 2 A single –phase half –wave ac voltage controller is connected with a

load of R = 5 ohms with an input voltage of 230 V, 50 Hz. If the firing

angle of thyristor is 45o , determine i) RMS output voltage, ii) Power

delivered to load

6 L1 3 Describe working of 3-Phase AC-AC regulators with R load only and

draw the relevant waveforms.

6 L4 4 A single phase full –wave ac voltage controller is connected with a load

of R = 10 ohms,with an input voltage of 230 V, 50 Hz. When the firing

angle of thyristors is 45o,

determine i) power output at load, ii) average value of thyristor current

and iii) rms value of thyristor current.

6 L5 5 Derive the expression for rms output voltage of bidirectional 1-phase ac

voltage controller with RL load. And draw the relevant waveforms.

6 L2 6 Discuss the working of a single phase bridge type cycloconverter with

RL loads and for continuous waveform operation with neat circuit

diagram and output rms voltage and current wave form for fo = 4 fs.

DADI INSTITUTE OF ENGINEERING & TECHNOLOGY (Approved by A.I.C.T.E., New Delhi & Affiliated to JNTU, Kakinada)

III B.TECH – I – SEM Question Bank (2018 - 19 A.Y)

Branch : EEE Faculty Name : A.Lakshmi Durga/Mr. M.Raja rao

POWER SYSTEMS–II

CO Level Q. No Questions

UNIT 1

1 1

1 (a)

a) What are the properties of conducting material?

b) Find the capacitance per phase of a three phase, three wire system by considering

earth effect, when the conductors are arranged in a horizontal plane with spacing

D12=D23=3.5m, and D31=7m. The conductors are transposed and each has a diameter

of 2.0 cm. Assume the transmission line is 4m above the ground level.

1

1

1(b)

1 1

1

2 (a)

a) What is the need of double circuit transmission line?

b) What are ACSR conductors? Explain the advantages of ACSR conductors when used

for overhead lines.

1

2(b)

1

2

3 (a)

a) Explain what do you understand by GMR and GMD of a transmission

line?

a) Find the capacitance per phase of a three phase, three wire system, when the

conductors are arranged in a horizontal plane with spacing D12=D23=3.5m, and

D13=7m. The conductors are transposed and each has a diameter of 2.0 cm.

1

3(b)

1

1

4(a)

a) What is meant by loop inductance?

b)

c) Find the inductance of a conductor per phase of a three phase, three-wire system.

When the conductors are arranged at the corners of an equilateral triangle of 3.5 m

sides and the diameter of each conductor is 2 cm.

1

4(b)

UNIT 2

2 1

1(a)

a) What are various parameters of a transmission line and how they are considered for

different lines?

b) A three-phase line delivers 3600 kW at a power factor 0.8 lagging to a load. If the

1

1(b)

sending end voltage is 33 kV, determine i) receiving end voltage ii) line current iii)

transmission efficiency. The resistance and reactance of each conductor is 5.31and

5.54respectively.

2 2

2(a)

a) Explain the effect of power factor on regulation and efficiency.

b) A 3- phase has a series impedance of 300750 ohms per phase and shunt admittance

of 2510-4900 siemens per phase. The voltage at the receiving

c) end is 220kV but there is no load at receiving end. A load of 100 MW at UPF is

connected at the midpoint of the line. Using nominal-method, find sending end

voltage. 1

2(b)

2

6

3

Develop the vector diagrams of nominal-and nominal T models of medium

Transmission line. Derive the expression for voltage regulation of both the models

2 5

4

An overhead single phase delivers 1.1MW at 33 kV at 0.9 power factor lagging .The total

resistance of the line is 10and the total inductive reactance is 15. Determine (i) %voltage

regulation (ii) sending end power factor (iii) transmission efficiency

2 5

5

An overhead 3- phase transmission line delivers 5000 kW at 22kV at 0.8 power

factor lagging the resistance and reactance of each conductor is 4 ohms and 6

ohms respectively. Determine i) sending end voltage ii) percentage regulation and

iii) Transmission efficiency.

UNIT 3

3 2 1 Explain the equivalent method of solution for the performance of long transmission lines?

Draw a phasor diagram with the receiving end voltage as reference.

3 1 2 Find the network constants of a long transmission line 3 phase, 50 Hz and 150 km

long whose resistance per km is 0.2 and inductance per km is 1.5 mH and

capacitance per km is 0.008 F. Neglect the conductance of the line.

3 2 3 Explain the surge impedance loading with necessary expressions.

3 1 4 A=D=0.936+j 0.016; B=33.5+j138 ohms; C=(-5.18+j914) 10-6mhos. The load at the receiving

end is 50 MW at 220 kV with a power factor of 0.9 lagging. Find the sending end voltage and

regulation of line.

3 5 5 A 3- phase transmission line is 480km long and serves a load of 400MVA, 0.8p.f lag at

345kV. The ABCD constants of the line are A=D=0.8181.30; B=172.284.20;

C=0.00193390.40 mhos. Determine the sending end line to neutral voltage, the sending end

current and the percent voltage drop at full load.

UNIT 4

4 6 1 Discuss the phenomenon of wave reflection and refraction. Derive expression for

reflection and refraction coefficients

4 1 2 A 200 kV, 3 s, rectangular surge travels on a line of surge impedance of 400

ohms. The line is terminated in a capacitance of 3000 pF. Find an expression for

voltage across the capacitance.

4 5 3 Two stations are connected together by an underground cable having a surge

impedance of 60 ohms joined to an overhead line with a surge impedance of 400

ohms. If a surge having a maximum valve of 100 kV travels along the cable towards

the junction with the overhead line, determine the value of the reflected and

transmitted wave of voltage and current at the junction.

4 1 4 A 200 kV surge travels on a transmission line 400 ohms surge impedance and

reaches a junction where two branch lines of surge impedances of 500 ohms and

300 ohms are connected with the transmission line. Find the surge voltage and

current transmitted into each branch line. Also find the reflected voltage and

current.

4 1 5 A 500 kV surge travels on an overhead line of surge impedance 400 towards its

junction with a cable which has a surge impedance of 40. Find i) transmitted voltage and

current, ii) reflected voltage and current.

UNIT 5

5 6 1(a) a) Discuss why receiving end voltage of an unloaded long line may be more than the

sending end voltage.

2 1(b) b) Explain about the effect of radio interference due to corona on the transmission lines?

5 1 2 Find the disruptive critical voltage and visual corona voltage for a grid of line

operating at 132 kV. The line consisting of 1.96 cm diameter conductors spaced

3.81 meters apart. The following data can be considered. Temperature 440 c,

barometric Pressure 73.7 cm of mercury, conductor surface factor 0.84, fine

weather 0.8, rough weather 0.66.

5 5 3 A 3-phase 220 kV, 50 Hz, transmission line consists of 3 cm diameter conductors

spaced 2 meters apart in equilateral triangle formation .If the temperature is 200 C

and atmospheric pressure 75 cm determine the corona loss per km of the line. Take

irregularity factor as 0.8.

5 2 4 Explain the effect of shunt compensation on the performance of transmission

lines

5 1 5 A 132 kV line with 2 cm diameter is built so that corona takes place if the line

voltage is 220 kV (r.m.s). If the value of potential gradient at which ionization

occurs can be taken as 30 kV per cm (peak). Find the spacing between the

conductors.

UNIT 6

6 2 1(a) a) Explain why suspension insulators are preferred for high voltage transmission lines.

What is a strain insulator and where it is used?

b) An overhead line has the following data: span length 160 meters, conductor diameter

0.95 cm, weight per unit length of the conductor 0.65 kg/meter. Ultimate stress 4,250

kg/cm2, wind pressure 40 kg/cm2 of projected area. Factor of safety 5. Determine sag?

5

1(b)

6 1 2 Define string efficiency. Why is it necessary to have high string efficiency? How

can it be achieved?

6 1 3 A transmission line conductor having a diameter of 19.5 mm weighs 0.85 kg/m.

The span is 275 meters. The wind pressure is 40 kg/m2 of projected area with ice

coating 13 mm. The ultimate strength of the conductor is 8000 kg. find the

maximum sag, if the factor of safety is 2 and ice weighs 910 kg/m3?

6 2 4 Explain how sag is determined for an overhead line conductor taking into

account the effects of wind and ice loading.

6 5 5 Each of the three insulators forming a string has a self-capacitance of ‘C’ Farads.

The shunting capacitance of the connecting metal work of each insulator is 0.3 C to

earth and 0.2 C to the line. A guard ring increases the capacitance to the line of the

metal work of the lowest insulator to 0.5 C. Determine the string efficiency of this

arrangement with the guard ring.






QUESTION BANK (RES)

Academic Year : 2019-20

Name of the Faculty : A Krishna Nag

Designation : Assistant Professor

Department : Electrical &Electronics Engineering

Year/Semester : III YEAR –I SEMESTER(EEE A&B)

Course : Renewable Energy Sources

UNIT-1


1 3 1 Write a note on total solar energy received in India and also explain

about Energy conservation principle

1 4 2 Explain about solar radiation on Tilted surfaces and Calculate the

angle subtended by beam radiation with the normal to a flat plate

collector at 9 AM for the day on nov 3, 2003. The collector is in

Delhi (28 0

35’N, 770 12’E), inclined at an angle of 36

0 with the

horizontal and is facing due south.

1 3 3 Write the advantages, and limitations of renewable energy sources?

and Explain briefly different types of solar energy measuring

instruments?

1 4 4 Distinguish between diffuse radiation and beam radiation and

describe about solar geometry.

1 5 5 What are conventional sources of energy and explain the importance

of solar energy in the present day energy crisis?






Unit-2


2 2 1 Explain the function of main components of a flat plate solar

collector and describe the classification of solar energy collectors.

2 3 2 Interpret the effect of design Parameters on performance and

explain different types of line focusing type concentrating type

collectors

2 2 3 List out the applications of solar air heaters and explain in detail

about solar ponds.

2 3 4 Write a note on Transmissivity of cover system and explain about

central receiver tower

2 3 5 Illustrate the effects of various parameters affecting the

performance of a collector and explain Compound Parabolic

Concentrator(CPC)






Unit-3


3 3 1 Write a note on Photovoltaic effect and efficiency of solar cells.

3 2 2 Discuss about techniques of MPPT and explain maximum power

point tracking?

3 5 3 Explain about applications of stand alone PV systems and write

about P & O technique.

3 3 4 With a neat sketch demonstrate the working of standalone and grid

Connected solar system.

3 2 5 Explain about hill climbing Technique.






Unit-4


4 5 1 Develop wind power equation and define Tip speed ratio.

4 2 2 Explain Vertical Axis Wind Turbine (VAWT) and state the

advantages of wind power?

4 3 3 With neat sketch demonstrate Horizontal axis wind mills and explain

pitch control and Yaw control

4 3 4 Write about wind energy extraction and Tip speed ratio.

4 4 5 Wind at one standard atmospheric pressure and 150

C has a speed of

10m/s. A 10 m diameter wind turbine is operating at 5 rpm with

maximum efficiency of $)%. Calculate the total power density in

wind stream and also give applications of wind energy






Unit-5


5 2 1 Classify water turbines and explain about small hydro power plants.

5 2 2 Explain energy potential estimation for a tidal power and explain in

detail about types of tidal power plant

5 4 3 Select the minimum tidal range required for the working of tidal

power plant and draw the schematic layout of a tidal powerhouse

5 3 4 Demonstrate the components of tidal power plant and list out

advantages and disadvantages of tidal power.

5 2 5 Explain about specific speed of wind energy and It is required to

develop 15MW at 214 rpm under a head of 100mt with a single

runner. What is type of turbine to be installed?






Unit-6


6 4 1 Differentiate Bio mass and biogas and explain about dry and wet

fermentation process

6 2 2 Classify biogas plants and explain pyrolysis.

6 3 3 Demonstrate direct combustion of heat and write about digesters and

sizers

6 3 4 Write about fuel cell classification and Efficiency of a fuel cell.

6 2 5 Recognize how electrical energy can be generated from geothermal

energy and explain about energy analysis of geo thermal plant

DADI INSTITUTE OF ENGINEERING & TECHNOLOGY (Approved by A.I.C.T.E., New Delhi & Affiliated to JNTU, Kakinada)

III B.TECH – I – SEM (2019-20 A.Y)

Branch : EEE Faculty Name: Mr.KSNV Someswara Rao

S&S QUESTION BANK

Note: Answer ALL the following questions carries equal marks.

UNIT-1 CO Level Q.No Questions

1 1 1 (i) Find the even and odd components of the signal x(t) = cos(ωt+π

3)

(ii) Find the even and odd components of the signal x(t) =sin2t + sin2t.cos2t +cos2t

1 6 2 Discuss orthogonality in signals using relevant expressions. Explain the term complete

set. Give examples of complete sets

1 6 3 Discuss the mean square error

1 4 4 Compare the analogy between vectors and signals

1 6 5 Discuss orthogonality condition

UNIT-2

COO

Levell

Q.Noo Questions

2 3 1 Apply the trigonometric Fourier series for the signal x(t) shown below

2 3 2 Apply the complex exponential Fourier series for the signal x(t) shown below

2 3 3 Apply the Fourier transform of the signal represented below

2 5 4 Explain any five properties of Fourier series

2 5 5 Explain and derive any five properties of Fourier transform

UNIT-3


3 4 1 Distinguish impulse sampling, natural sampling and flat top sampling with

relevant diagrams

3 2 2 Explain aliasing effect using relevant diagrams. Suggest the remedies

to avoid aliasing

3 1 3 What is Nyquist rate of sampling? A signal x(t) = 10sinc(500t), find its Nyquist rate.

Where sinc(x) = 𝑠𝑖𝑛 (𝜋𝑥 )

𝜋𝑥

3 2 4 Explain sampling theorem for band limited signals

3 6 5 Write short notes on band pass sampling and Discuss the effects of under sampling on recovery

of signal

UNIT-4


4 2 1 Explain the relationship between autocorrelation function and energy spectral

density of an energy signal

4 2 2 Explain cross correlation function, write its properties and prove any two of

them

4 3 3 A system represented by y(t) = 2x(t-2) + 2x(t+2)

i) Identify the system is time invariant or not

ii) Identify the system is causal

4 5 4 Explain detection of signal in the presence of noise using correlation

4 2 5 Explain the characteristics of ideal LPF.HPF,BPF

UNIT-5


5 4 1 Simplify the given transfer function using inverse Laplace transform

5 4 2 Simplify the given function using Laplace transform

5 4 3 Simplify the given transfer function using inverse Laplace transform

5 4 4 Simplify the given function using Laplace transform

UNIT-6


6 3 1 Apply the z-domain differentiation property to find the Z transform

6 3 2 Apply the inverse Z transform of

6 3 3 Apply the inverse Z transform of X(z) = ln(1+az-1) ; ROC |z|>a

6 3 4 Identify ROC of

6 3 5 Apply the inverse Z transform of

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