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EX.NO.1 CHARACTERISTICS OF PN DIODE AND ZENER DIODE A. Characteristics of PN Diode Objective To obtain the V-I characteristics of a PN Diode. Equipments S.NO APPARATUS RANGE QUANTITY 1 Regulated Power supply (0-30)V,2A 1 2 Voltmeter (0-1)V /(0- 30)V 1 3 Ammeter (0-50) mA, (0-500)µA 1 4 Diode IN4007 1 5 Resistor 1 K ohm, ½ W 1 6 Breadboard, Connecting Wires - - Theory Forward Bias In PN junction diode, electrons are the majority carrier in n- region; holes are the majority carrier in p- region. When voltage is applied to a forward biased pn diode, electrons diffuse from the n region to the p region and are captured by holes in the p region. These captured electrons
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14ec2005- Edc Lab Manual

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Page 1: 14ec2005- Edc Lab Manual

EX.NO.1 CHARACTERISTICS OF PN DIODE AND ZENER DIODEA. Characteristics of PN Diode

Objective To obtain the V-I characteristics of a PN Diode.

Equipments

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30)V,2A 1

2 Voltmeter (0-1)V /(0- 30)V 1

3 Ammeter (0-50) mA,

(0-500)µA

1

4 Diode IN4007 1

5 Resistor 1 K ohm, ½ W 1

6 Breadboard, Connecting Wires - -

Theory

Forward Bias In PN junction diode, electrons are the majority carrier in n- region; holes are the

majority carrier in p- region. When voltage is applied to a forward biased pn diode, electrons

diffuse from the n region to the p region and are captured by holes in the p region. These

captured electrons are attracted towards the positive terminal of the voltage source. In the

forward biased condition, majority carrier moves across the junction and leaves less

immobile ions in the depletion region. So the width of the depletion region is very small and

the resulting current is large. It is measured in terms of mA. The forward cut in voltage is

generally 0.6 V.

Reverse Bias

During the reverse bias condition, the majority carrier moves away from the junction

and leaves many immobile ions in the depletion region. So the width of the depletion region

increases which results in very little current. It is measured in terms of µA.

Page 2: 14ec2005- Edc Lab Manual

Circuit Diagram

Page 3: 14ec2005- Edc Lab Manual

Model Graph

Observation

Forward Characteristics

S.NO FORWARD VOLTAGE - Vf( VOLTS) FORWARD CURRENT - If(mA)

Reverse Characteristics

S.NO REVERSE VOLTAGE – Vr ( VOLTS) REVERSE CURRENT - Ir (µA)

Page 4: 14ec2005- Edc Lab Manual

Procedure

Connections are made as shown in Fig 1.1 and Fig 1.2. By adjusting the RPS, voltage

and current are measured from the voltmeter and ammeter respectively. Then the readings are

tabulated. V-I characteristics of the pn junction diode is drawn on the graph by taking voltage

on the X- axis and current on the Y – axis.

ResultThus the V-I characteristics of a pn junction diode is obtained and plotted on the

graph.

Page 5: 14ec2005- Edc Lab Manual

B. Characteristics of Zener Diode

Objective

To obtain the V-I characteristics of a Zener diode.

Equipments

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30)V,2A 1

2 Voltmeter (0-1)V ,(0- 10)V 1

3 Ammeter (0-50) mA 1

4 Zener Diode 6.2 V, 250mW 1

5 Resistor 1 K ohm, ½ W 1

6 Breadboard, Connecting Wires - -

Circuit Diagram

Page 6: 14ec2005- Edc Lab Manual

Model Graph

Page 7: 14ec2005- Edc Lab Manual

Observation

Forward Characteristics

S.NO FORWARD VOLTAGE – Vf( VOLTS) FORWARD CURRENT - If(mA)

Reverse Characteristics

S.NO REVERSE VOLTAGE – Vr( VOLTS) REVERSE CURRENT - Ir(mA)

Theory

Diodes, which are designed to operate in the breakdown region, are called Zener

diode. In zener diode, direct rupture of covalent bonds takes place because of the strong

electric field at the junction. The new electron hole pair so created increase the reverse

current. Thus large change in the diode current by variation in load current or supply voltage

results small change in diode voltage. In forward bias condition, Zener Diode acts as an

ordinary pn diode and in the reverse bias breakdown occur at 6.2 V. At this voltage, the

current increases very rapidly and limited by Rs only.

Page 8: 14ec2005- Edc Lab Manual

Procedure

The Forward Bias and Reverse Bias connections are made as shown in Fig 1.3 and

Fig 1.4. By varying the RPS, Vr and Ir, Vf and If readings are noted and tabulated. The V-I

characteristics are plotted on the graph.

Result

Thus the V- I characteristics of Zener Diode is obtained and the graph is plotted.

Page 9: 14ec2005- Edc Lab Manual

EX.NO.2 CHARACTERISTICS OF PHOTODIODE

Objective

To obtain the V-I characteristics of the Photodiode.

Equipments

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30)V,2A 1

2 Digital Voltmeter (0-10)V 1

3 Ammeter (0-500) A 1

4 Photo Diode TIL81 1

5 Resistor 100 K ohm, 1/4 W 1

6 Breadboard, Connecting Wires - 1

Circuit Diagram

Fig 2.1 CHARACTERISTICS OF PHOTODIODE

Page 10: 14ec2005- Edc Lab Manual

Model Graph

Observation

Light with high intensity Light with medium

intensity

Light with low intensity

Vd (volts) Id( A) Vd (volts) Id( A) Vd (volts) Id( A)

Theory

Photodiode is a reverse biased PN junction semiconductor device. It converts light

energy into electrical energy (current). It permits light to fall on one side of the device across

the junction, keeping the remaining sides unilluminated. When light falls on the junction,

carriers are generated which contribute photocurrent. This current is proportional to the

incident light.

Page 11: 14ec2005- Edc Lab Manual

Procedure

Connections are made as shown in Fig 2.1. First, keep the photodiode at some fixed

distance from the light then vary the RPS and note down the voltmeter and ammeter readings

in the light 1 column. Next decrease the distance between the light and the photodiode and

repeat the above procedure. Depending upon the incident light, current flows through the

device. Plot the voltage on the X-axis and current on the Y-axis on the graph.

Result

Thus the V_I characteristics of a photodiode is obtained and plotted on the graph.

Page 12: 14ec2005- Edc Lab Manual

EX.NO.3 CHARACTERISTICS OF BJT

Objective

To obtain the input and output characteristics of a transistor under common emitter configuration.

Apparatus

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30) V,2A 2

2 Digital Voltmeter (0-1)V 1

3 DC Voltmeter (0-30) V 1

4 DC Ammeter (0-500) A &

(0-50)mA

1

5 Resistor 1 K ohm,100 Kohm 1

6 Transistor BC107/SL100 1

7 Breadboard and Connecting Wires

Circuit Diagram

Fig 3.1 CE Configuration

Page 13: 14ec2005- Edc Lab Manual

Model Graph

Input Characteristic

Output Characteristic

Page 14: 14ec2005- Edc Lab Manual

Tabulation:

Input CharacteristicsS.No VCE=0V VCE=5V

VBE(V) IB(µA) VBE(V) IB(µA)

Output characteristics S.No IB=20µA IB=80µA

VCE(V) Ic(mA) VCE(V) Ic(mA)

Theory

Transistor can be made to work in any of the three configurations

1. Common base (CB) configuration

2. Common emitter (CE) configuration

3. Common collector (CC) configuration

In CE configuration, input signal is fed between the base and emitter. The output is

developed between the emitter and collector.

Input characteristics:

This characteristic relates the input current with the input voltage, for a given value of

output voltage VCE. The curve is just like the diode characteristic in forward bias region.

Output characteristics

This characteristic relates the output current with the output voltage for a given value

of input current IB. The curve indicates the way in which the collector current varies with the

change in collector to emitter voltage with the base current IB kept constant.

Page 15: 14ec2005- Edc Lab Manual

Procedure

Connections are given as per Fig 3.1. By keeping the collector-emitter voltage at

different constant levels, readings are tabulated for the input characteristics. Again by

keeping the base current at different constant levels, readings are tabulated for the output

characteristics. Finally, the tabulated readings are plotted on the graph.

Result

Thus the input and output characteristics of a transistor under CE configuration are

obtained and plotted on the graph.

Page 16: 14ec2005- Edc Lab Manual

EX.NO.4 CHARACTERISTICS OF JFET

Objective

To obtain the drain characteristics of JFET.

Equipments

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30)V,2A 2

2 Voltmeter (0-10)V / (0-30)V 1

3 Ammeter (0-50) mA 1

4 JFET BFW10 1

5 Resistor 1 K ohm,1/2 W 1

6 Breadboard - 1

Circuit Diagram

Page 17: 14ec2005- Edc Lab Manual

Model Graph

Observation

S.No Vds(volts) Vgs = 0V Vgs = - 1V Vgs = - 2V

Id(mA) Id(mA) Id(mA)

Page 18: 14ec2005- Edc Lab Manual

Theory

FET consists of three terminals namely source, drain and gate. Source is the terminal

through which the majority carriers enter the substrate. Drain is the terminal through which

the majority carriers leave the substrate. Gate is nothing but a heavily doped p-region. Space

between two p-region is called channel. Reverse bias is applied to the gate terminal. When

Vgs = 0, width of the channel is large. So it conduct large amount of carriers, which results in

large Id current. When Vgs is increased from “0”, i.e., when the channel reverse bias is

increased, the conducting portion of the channel begins to constrict. So it results in fewer I ds

current.

Procedure

Connections are made as shown in the Fig.4.1. By adjusting RPS I, Vgs is fixed to a

value. Then by varying RPS II, Vds and Id values are noted. Taking Vds on the X-axis and Id on

the Y-axis graph is plotted

Result

Thus the drain characteristics of a JFET is obtained and plotted on the graph.

Page 19: 14ec2005- Edc Lab Manual

EX.NO.5 CHARACTERISTICS OF UJT

Objective

To obtain the characteristics of a UJT.

Equipments

S.NO APPARATUS RANGE QUANTITY

1 Regulated Power supply (0-30)V,2A 1

2 Digital Multimeter/Voltmeter (0-10)V /(0- 30)V 1

3 Ammeter (0-10) mA 1

4 UJT 2N2646 1

5 Resistor 4.7 KΩ,1 KΩ 1/4W 1

6 Breadboard - -

Circuit Diagram

Page 20: 14ec2005- Edc Lab Manual

Model Graph

Observations

VB1B2 = 0 V VB1B2 = 5V VB1B2 = 10 V

VB1E (volt) IE (mA) VB1E (volt) IE (mA) VB1E (volt) IE (mA)

Description

UJT has a unijunction. It consists of three terminals namely emitter, base1 and base2.

UJT is also called double base diode. UJT operates when the emitter is forward biased.

Voltage Vb1b2 is applied between base1 and base2. If an external voltage is applied at

terminal E, no current will flow into the emitter as long as this applied voltage is less than VE.

When this applied voltage exceeds VE, current flows into the emitter and holes get injected

from emitter to base1 and are repelled by base2. This results in increase in the region between

Page 21: 14ec2005- Edc Lab Manual

the junction and the base1. The increase in conductivity results in drop in voltage VE and

increased forward bias of the junction. So IE also increases, then it exhibits a negative

resistance.

Procedure

The connections are made as shown in Fig 5.1. By adjusting the RPS II, VB1B2 is kept

at some fixed value. The input voltage is varied in steps by varying the RPS I and the

corresponding value of IE is noted. Then the readings are plotted on the graph.

Result

Thus the characteristics of UJT is obtained and plotted on the graph.

Page 22: 14ec2005- Edc Lab Manual

EX.NO.6: V-I CHARACTERISTICS OF SILICON CONTROLLED RECTIFIER AND TRIAC

AimTo Draw the V-I characteristics of a Silicon Controlled Rectifier and Triac for both forward and Reverse bias condition.

Apparatus Required

S. No Name of the Apparatus Range Quantity 1 SCR TYN 616 1 2 TRIAC BT136 13 RPS (0-30)v 2 4 Voltmeter (0-30)v 1 5 Ammeter (0-10) mA 1 6 Ammeter (0-100)mA 1 7 Resistor 4.7 kΩ,5W 1 8 Resistor 470Ω 19 Resistor 2.2KΩ10 Connecting wires -- 1set 11 potentiometer 5KΩ 112 Fixed power supply 12V 1

SCR:

Circuit Diagram

Fig 6.1 Characteristics of SCR

Page 23: 14ec2005- Edc Lab Manual

CONNECTION DIAGRAM

Model Graph

Page 24: 14ec2005- Edc Lab Manual

TabulationS. No Anode-Cathode

Voltage VAK (Volts)

Gate CurrentIG (mA)

AnodeCurrentIA (mA)

Anode – Cathodevolt when SCR isON (volts)

TRIAC:

CIRCUIT DIAGRAM:

Fig 7.1 Characteristics of TRIAC

Page 25: 14ec2005- Edc Lab Manual

Model Graph

Tabulation

S.NoWith Positive Biasing IG= With Negative Biasing IG=

TRIAC VOLTAGE (Va)

TRIAC CURRENT (Ia)

TRIAC VOLTAGE (-Va)

TRIAC CURRENT (-Ia)

Theory

SCR Silicon controlled Rectifier is an ac power control device in which the current

through the load can be controlled by the gate pulse applied to this device. The anode and

cathode are connected to main source through the load. The gate and cathode are fed from a

source Es which provides positive gate current from gate to cathode. An SCR consists of four

layers of alternating P and N type semiconductor materials. Silicon is used as the intrinsic

semiconductor, to which the proper dopants are added. The junctions are either diffused or

alloyed. The planar construction is used for low power SCRs (and all the junctions are

Page 26: 14ec2005- Edc Lab Manual

diffused). The mesa type construction is used for high power SCRs. In this case, junction J2

is obtained by the diffusion method and then the outer two layers are alloyed to it, since the

PNPN pellet is required to handle large currents. It is properly braced

with tungsten ormolybdenum plates to provide greater mechanical strength. One of these

plates is hard soldered to a copper stud, which is threaded for attachment of heat sink. The

doping of PNPN will depend on the application of SCR, since its characteristics are similar to

those of thethyratron. Today, the term thyristor applies to the larger family of multilayer

devices that exhibit bistable state-change behaviour, that is, switching either ON or OFF.

The operation of a SCR and other thyristors can be understood in terms of a pair of tightly

coupled bipolar junction transistors, arranged to cause the self-latching action:

TRIAC The triac is another three terminal ac switch that is triggered into conduction

when a low energy signal is applied to its gate terminal. Unlike the SCR, the triac conducts in

either direction when turned on. The triac also differs from the SCR in that either a positive

or negative gate signal triggers it into conduction. Thus the triac is a three terminal, four layer

bidirectional semiconductor device that controls ac power whereas controls dc power or

forward biased half cycle of ac in a load. Because of its bidirectional conduction property, the

triac is widely used in the the field of power electronics for control purposes. Though the

triac can be turned on without any gate current provided the supply voltage becomes equal to

the breakover voltage of the triac but the normal way to turn on the triac is by applying

Page 27: 14ec2005- Edc Lab Manual

a proper gate current. As in case of SCR, here too, the larger the gate current, the

smaller the supply voltage at which the triac is turned on. Triac can conduct current

irrespective of the voltage polarity of terminals MT1 and MT2.

TRIAC controls are more often seen in simple, low-power circuits than complex,

high-power circuits. In large power control circuit, multiple SCRs tend to be favored. Main

terminals on 1 and 2 on a TRIAC are not interchangeable. To successfully trigger a TRIAC,

gate terminal must come from the main terminal 2 (MT2) side of the circuit.

PROCEDURE:1. The connection are made as per in the circuit diagram.2. First by varying potentiometer gate current (IG) is kept constant.3. The voltage between MT1 and MT2 is increased in step by varying the varying

the RPS 1.4. The corresponding current (I MT1) is noted.5. The process is repeated for two more constant values of IG, the readings are

tabulated.

RESULT:Thus the forward and reverse characteristics of SCR and TRIAC is drawn and verified.

Page 28: 14ec2005- Edc Lab Manual

Ex.No.7 VERIFICATION OF THEVENIN’S THEOREMObjective

(a) To verify the Thevenin’s theorem and to determine the current flowing through

the load resistance of the given DC circuit.

(b) To verify the Thevenin’s theorem using PSPICE

Equipments

DesignLab Eval 8 software.

Description

Definition

Thevenin’s Theorem

Any circuit having voltage sources, resistors and open output terminals can be

replaced by a single current source in series with single resistance (impedances),where the

value of the voltage source is equal to the open circuit output terminals and the value of

resistance (impedance) is equal to the resistance seen into the network across the putput

terminals.

Procedure

1. Open the Schematics in DesignLab Eval 8

2. From “GET NEW PART” get the required circuit elements by clicking on it

and draw the given circuit.

3. Use VIEWPOINT and IPROBE to read the voltages and currents respectively,

in the circuit.

4. Use GND_ANALOG to ground the circuit.

5. Save the file with *.sch

6. Simulate the circuit by clicking on the “Simulate” icon

7. Click on the “Analysis” menu and then click “Examine Output”.

8. Read the simulated results from the “MicroSim Text Editor”

Circuit Diagram

Page 29: 14ec2005- Edc Lab Manual

Manual Calculation

Step 1

To measure the Thevenin’s voltage

Thevenin’s voltage is equal to the voltage across the terminals AB

VAB=V3+V6+10

Here the current passing through 3 resistor is zero

Hence V3 =0

By applying Kirchoff’s voltage Law for the loop,

50-10I1-6I1-10=0

6I1 = 40

I1

=4016 =2.5 A

The voltage across 6 is V6,

10 Ω 3 Ω

10 Ω6 Ω

10 Ω 3 Ω6 Ω

Page 30: 14ec2005- Edc Lab Manual

V6 =6 x 2.5=15V

The voltage across the terminals AB is

=Vth=VAB =0+15+10=25V

Step 2

To measure the Thevenin’s resistance

The resistance as seen in to the terminals AB,

Rth=RAB

=10 x 610+6 +3

Rth=6.75

Also Rn=6.75

10Ω 3Ω

Page 31: 14ec2005- Edc Lab Manual

Step 3

To draw the Thevenin’s equivalent circuit

Step 4

To measure the current flowing in the load resistance 10 is

I L

=V TH

RTH+RL =25

6 .75+10 =25

16 . 75 =1.49 A

Simulation

Step 1

Measurement of Thevenin’s voltage

6.75Ω

10Ω

10Ω 3Ω

1000MΩ

Page 32: 14ec2005- Edc Lab Manual

Simulated Results

* Schematics Netlist *V_V1 $N_0001 0 DC 50V R_R1 $N_0001 $N_0002 10 V_V2 $N_0003 0 DC 10V R_R3 $N_0003 $N_0002 6 R_R2 $N_0002 1 3 R_Rload 0 1 1000meg

NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE

( 1) 25.0000 ($N_0001) 50.0000 ($N_0002) 25.0000

($N_0003) 10.0000

VOLTAGE SOURCE CURRENTS NAME CURRENT

V_V1 -2.500E+00 V_V2 2.500E+00

Step 3

Measurement of Thevenin’s equivalent resistance

RTH = RN = VOC/ISC = VTH/IN

= 25/3.704=6.75

Page 33: 14ec2005- Edc Lab Manual

Step 4

Thevenin’s equivalent cicuit

Simulation Result* Schematics Netlist *

V_Vth $N_0001 0 DC 25V R_Rth $N_0001 $N_0002 6.75 R_Rload $N_0002 $N_0003 10 V_V3 $N_0003 0 0

NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE

($N_0001) 25.0000 ($N_0002) 14.9250

($N_0003) 0.0000

VOLTAGE SOURCE CURRENTS NAME CURRENT

V_Vth -1.493E+00 V_V3 1.493E+00

6.75Ω

10Ω

Page 34: 14ec2005- Edc Lab Manual

Result

Thus the Thevenin equivalent circuit drawn for the given circuit and the equivalent

voltage and the current through the load resistance are calculated using PSPICE software.

Page 35: 14ec2005- Edc Lab Manual

Ex.No.8 VERIFICATION OF KIRCHOFF CURRENT LAW

Objective

To verify Kirchoff’s current law in the given circuit using PSPICE .

Equipments

DesignLab Eval 8 software.

Circuit Diagram For KCL

Description

Definition

Kirchoff’s Current Law

The algebraic sum of the current entering any node is zero.

i=0

Procedure

1.Open the Schematics in DesignLab Eval 8

2.From “GET NEW PART” get the required circuit elements by clicking on it

and draw the given circuit.

3.Use VIEWPOINT and IPROBE to read the voltages and currents respectively,

in the circuit.

4.Use GND_ANALOG to ground the circuit.

5.Save the file with *.sch

6.Simulate the circuit by clicking on the “Simulate” icon

7.Click on the “Analysis” menu and then click “Examine Output”.

A A

Page 36: 14ec2005- Edc Lab Manual

8.Read the simulated results from the “MicroSim Text Editor”

Manual Calculation

According to KCL,

I1+I2+I3+I4+5=10A

At node A,

I1+I2+I3+I4 =5A

I1=V/R1=V/5

I2= V/R2=V/10

I3= V/R3=V/2

I4= V/R2=V/1

V/5+V/10+V/2+V/1=5

V[0.2+0.1+0.5+1]=5

V=2.78 V

Current passing through 5 is V/5=2.78/5=0.556 A

Current passing through 10 is V/10=2.78/10=0.278 A

Current passing through 2 is V/2=2.78/2=1.39 A

Current passing through 1 is V/1=2.78/1=2.78 A

Circuit Simulation

AA

Page 37: 14ec2005- Edc Lab Manual

Simulated Results

* Schematics Netlist *

I_I2 $N_0001 0 DC 5

I_I1 0 $N_0001 DC 10

R_R1 $N_0002 $N_0001 5

R_R2 $N_0003 $N_0001 10

R_R3 $N_0004 $N_0001 2

R_R4 $N_0005 $N_0001 1

v_V1 $N_0002 0 0

v_V2 $N_0003 0 0

v_V3 $N_0004 0 0

v_V4 $N_0005 0 0

NODE VOLTAGE

($N_0001) 2.7778

VOLTAGE SOURCE CURRENTS

NAME CURRENT

v_V1 5.556E-01

v_V2 2.778E-01

v_V3 1.389E+00

v_V4 2.778E+00

Result:

Thus for the given circuit Kirchoff’s current was verified in both by calculation and

with simulated results.

Page 38: 14ec2005- Edc Lab Manual

Ex.No.9 VERIFICATION OF KIRCHOFF VOLTAGE LAW

Objective

To verify Kirchoff’s voltage law in the given circuit using PSPICE .

Equipments

DesignLab Eval 8 software.

Circuit diagram for KVL

Description

Definition

Kirchoff’s Voltage Law

The algebraic sum of voltages around any closed path in a circuit is zero.

V=0

Procedure

1.Open the Schematics in DesignLab Eval 8

2.From “GET NEW PART” get the required circuit elements by clicking on it

and draw the given circuit.

3.Use VIEWPOINT and IPROBE to read the voltages and currents respectively,

in the circuit.

4.Use GND_ANALOG to ground the circuit.

Page 39: 14ec2005- Edc Lab Manual

5.Save the file with *.sch

6.Simulate the circuit by clicking on the “Simulate” icon

7.Click on the “Analysis” menu and then click “Examine Output”.

8.Read the simulated results from the “MicroSim Text Editor”

Manual Calculation

According to KVL,

8I+50+30I +2I =100

8I+2I+30I=50

40I=50

I=1.25A

V= I* R

Voltage across 8 is 8I= 8*1.25=10A

Voltage across 2 is 2I=2*1.25=2.5A

Voltage across 30 is 30I=30*1.25=37.5 A

Circuit Simulation

Simulated Results

* Schematics Netlist *

V_V1 1 0 50V

R_R3 3 4 2

Page 40: 14ec2005- Edc Lab Manual

R_R2 0 $N_0001 30

R_R1 1 2 8

V_V3 2 3 100V

V_V4 $N_0001 4 0

NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE

VOLTAGE

( 1) 50.0000 ( 2) 60.0000 ( 3) -40.0000 ( 4) -37.5000

($N_0001) -37.5000

VOLTAGE SOURCE CURRENTS

NAME CURRENT

V_V1 1.250E+00

V_V3 -1.250E+00

V_V4 1.250E+00

Result:

Thus for the given circuit Kirchoff’s voltage law was verified in both by calculation

and with simulated results.

Page 41: 14ec2005- Edc Lab Manual

Ex.No.10 VERIFICATION OF SUPERPOSITION THEOREM

Objective

To verify the superposition theorem using PSPICE and to determine the current

flowing through 1 resistance of the given circuit.

Equipments

DesignLab Eval 8 software.

Circuit diagram:

Description

Definition

Superposition Theorem

The superposition theorem states that “in any linear network containing two or more

sources ,the response in any element is equal to the algebraic sum of the response by

individual sources acting alone ,while the other sources are non-operative”.

Procedure

1.Open the Schematics in DesignLab Eval 8

2.From “GET NEW PART” get the required circuit elements by clicking on it

and draw the given circuit.

3.Use VIEWPOINT and IPROBE to read the voltages and currents respectively,

Page 42: 14ec2005- Edc Lab Manual

in the circuit.

4.Use GND_ANALOG to ground the circuit.

5.Save the file with *.sch

6.Simulate the circuit by clicking on the “Simulate” icon

7.Click on the “Analysis” menu and then click “Examine Output”.

8.Read the simulated results from the “MicroSim Text Editor”

Calculation:

Step 1:

To find the current through 1 resistance due to 10V source the circuit can be redrawn as

Using Mesh method

[25 −5−5 18 ][ I 1

I 2 ]= [100 ]

20I1+(I1-I2)5=1020I1+5I1-5I2=1025I2-5I2=10

I 2 =

[25 10−5 0 ]

[25 −5−5 18 ]

= 0.117A

Current flowing through 1 resistance =0.117A

Step 2: To find the current flowing through 1 resistance due to 5A source, the circuit can be redrawn as

Page 43: 14ec2005- Edc Lab Manual

Using current division rule,

Input current flowing through 1 resistance

=5×12

12+(1+20×520+5 )

=5×12

12+1+4

= 3.52A

Current flowing through 1 resistance = -3.52 A(Negative current direction)

Step 3:To find the current flowing through 1 resistance due to 50V source, the circuit can be redrawn as

Using Mesh method

[25 −5−5 18 ][ I 1

I 2 ]= [0

−50]

Page 44: 14ec2005- Edc Lab Manual

I 2 =

[25 0−5 −50 ][25 −5−5 18 ]

= -2.941A

Current flowing through 1 resistance = -2.941 A

Step 4: The algebraic sum of these currents gives the total current flowing through 1 resistance

In step I Current flowing through 1 resistance =0.117A

In step II Current flowing through 1 resistance = -3.52 A

In step III Current flowing through 1 resistance = -2.941 ATotal current flowing through 1 resistance = 0.117-3.52 -2.941 I1 = -6.34A

Step 1:Circuit Simulation :

Simulated Results :

* Schematics Netlist *

R_R1 $N_0002 $N_0001 20 R_R2 0 $N_0001 5 V_V1 $N_0002 0 DC 10V R_R3 $N_0001 $N_0003 1 R_R5 0 $N_0004 12 V_V2 $N_0003 $N_0004 0NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE

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($N_0001) 1.5294 ($N_0002) 10.0000

($N_0003) 1.4118 ($N_0004) 1.4118

VOLTAGE SOURCE CURRENTS NAME CURRENT

V_V1 -4.235E-01 V_V2 1.176E-01

Step 2:

Circuit Simulation :

* Schematics Netlist *

R_R3 $N_0002 $N_0001 1 R_R5 0 $N_0003 12 R_R1 0 $N_0002 20 R_R4 $N_0004 $N_0003 70 I_I1 0 $N_0004 DC 5A R_R2 0 $N_0002 5 V_V2 $N_0001 $N_0003 0

NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE

($N_0001) 17.6470 ($N_0002) 14.1180 ($N_0003) 17.6470 ($N_0004) 367.6500

VOLTAGE SOURCE CURRENTS NAME CURRENT

V_V2 -3.529E+00

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Step 3:Circuit Simulation :

* Schematics Netlist *

R_R3 $N_0002 $N_0001 1 R_R5 $N_0004 $N_0003 12 R_R1 0 $N_0002 20 R_R2 0 $N_0002 5 V_V2 $N_0003 0 DC 50V V_V3 $N_0001 $N_0004 0

NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE NODE VOLTAGE

($N_0001) 14.7060 ($N_0002) 11.7650

($N_0003) 50.0000 ($N_0004) 14.7060

VOLTAGE SOURCE CURRENTS NAME CURRENT

V_V2 -2.941E+00 V_V3 -2.941E+00

Step 4:

The algebraic sum of these currents gives the total current flowing through 1 resistance

In step I Current flowing through 1 resistance =0.117A

In step II Current flowing through 1 resistance = -3.52 A

In step III Current flowing through 1 resistance = -2.941 A

Total current flowing through 1 resistance = 0.117-3.52 -2.941

I1 = -6.34A

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Result :

Thus the superposition theorem is verified and simulated using the PSPICE software

and the current flowing through 1 resistance of the given circuit was determined