Verification of Kirchhoff's Laws & Theorems in Electrical Circuit Experiments, Exams of Engineering

The details of various experiments conducted on electrical circuits to verify fundamental electrical engineering concepts such as Kirchhoff's laws, Superposition theorem, Thevenin's theorem, Norton's theorem, and Maximum Power Transfer theorem. Each experiment includes the aim, apparatus required, procedure, and results.

Typology: Exams

2021/2022

Uploaded on 08/01/2022

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LABORATORY MATERIAL
EE0211 ELECTRICAL CIRCUITS LAB
DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING
FACULTY OF ENGINEERING & TECHNOLOGY
SRM UNIVERSITY, Kattankulathur 603 203
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LABORATORY MATERIAL

EE0211 – ELECTRICAL CIRCUITS LAB

DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING

FACULTY OF ENGINEERING & TECHNOLOGY

SRM UNIVERSITY, Kattankulathur – 603 203

CONTENTS

Sl.No. Name of the Experiments Page No.

1 Verification of Kirchoff’s laws 3

2 Verification of Superposition theorem 6

3 Verification of Thevenin’s & Norton’s Theorem 9

4 Verification of Maximum Power Transfer theorem 15

5 Power measurement in 3 phase unbalanced circuits 19

6 Power measurement in 3 phase balanced circuits 20

7 Power measurement using 3 voltmeter & 3 ammeter

method

8 Circuit analysis using CRO 26

9 Circuit transients by digital simulation 28

10 Study of resonance 30

Circuit - KVL

KCL - Theoretical Values: Sl. No.

Voltage E

Current I 1 = I 2 + I 3 I 1 I 2 I 3 Volts mA mA mA mA 1 5 5.68 3.12 2.56 5. 2 10 11.3 6.18 5.12 11. 3 15 17.05 9.37 7.68 17. 4 20 22.73 12.49 10.24 22. 5 25 28.42 15.62 12.68 28.

KCL - Practical Values: Sl. No.

Voltage E

Current I 1 = I 2 + I 3 I 1 I 2 I 3 Volts mA mA mA mA 1 5 5.6 3.1 2.2 5. 2 15 17.2 9.4 7.6 17 3 25 28 15.6 12.7 28.

KVL – Theoretical Values Sl.No. RPS Voltage KVL E 1 E 2 V 1 V 2 V 3 E 1 = V 1 + V 2 V V V V V V 1 5 5 0.58 4.41 0.583 4. 2 10 10 1.16 8.83 1.17 9. 3 15 15 1.75 13.2 1.75 14. 4 20 20 2.33 17.67 2.33 20 5 25 25 2.913 22.08 2.915 24.

KVL - Practical Values Sl.No. RPS Voltage KVL E 1 E 2 V 1 V 2 V 3 E 1 = V 1 + V 2 V V V V V V 1 5 5 0.6 4.4 0.56 5 2 10 10 1.13 8.8 3 1.19 9. 3 15 15 1.72 13.20 1.78 14.

Model Calculations:

Result: Thus Kirchoff’s voltage load and Kirchoff’s current law verified both theoretically and practically.

CIRCUIT - 1

CIRCUIT - 2

CIRCUIT - 3

TABULAR COLUMN

Theoretical Values RPS Ammeter Reading (I) 1 2 mA Circuit – 1 10 V 10 V I = 8.

Circuit – 2 10 V 0 V I’= 3.

Circuit – 3 0 V 10 V I”= 5.

I = I’  I” = 8.

Practical Values RPS Ammeter Reading (I) 1 2 mA Circuit – 1 10 V 10 V I = 8.

Circuit – 2 10 V 0 V I’= 3.

Circuit – 3 0 V 10 V I”= 5

I = I’  I” = 8.5 mA = 3.5 + 5 = 8.5 mA

Model Calculations:

Result: Superposition theorem have been verified theoretically and practically.

Circuit - 1 : To find load current

To find VTH

To find RTH

Thevenin’s Equivalent circuit:

Model Calculations:

Result: Hence the Thevenin’s theorem is verified both practically and theoretically

To find load current in circuit 1:

To find IN

To find RN

Norton’s equivalent circuit

Constant current source

Theoretical and Practical Values E (volts)

IN

(mA)

RN

IL (mA)

Circuit - I Equivalent Circuit Theoretical Values

Practical Values

Model Calculations:

Result: Norton’s was verified practically and theoretically

Circuit - 1

To find VTH

To find RTH

Thevenin’s Equation Circuit

Power VS RL

Circuit – I

Sl.No. (^) RL () I (mA) V(V) P=VI (watts) 1 2 3 4 5 6 7 8 200

400

600

800

1200

1300

1400

1500

To find Thevenin’s equivalent circuit VTH (V) (^) RTH () IL (mA) P (milli watts) Theoretical Value

Practical Value

Experiment No. 6 Date :

THREE PHASE POWER MEASUREMENT

(TWO WATTMETER METHOD)

Aim: To measure the 3-phase active and reactive power by 2 – wattmeter method for (i) resistance load (ii) inductive load

Apparatus Required:

Sl.No. Apparatus Range Quantity 1 Voltmeter (0-600V) MI 1 2 Ammeter (0-20A) MI 1 3 Wattmeter 600V, 10A, UPF 2 4 Wattmeter 600V, 10A, LPF 2

Precautions:  THE TPST switch must be kept open initially.  Load must not be applied while starting. Procedure: (i) – Resistive load

  1. Give the connections as per the circuit diagram.
  2. Give the supply by closing TPST switch.
  3. Vary the resistance load and note down the corresponding readings.

(ii) Inductive load

  1. Give the connections as per the circuit diagram.
  2. Give the supply by closing the TPST switch
  3. Vary the inductive load and note down the corresponding readings.

for inductive load

for resistive load

Formulae Used:

  1. Real power = w 1 + w 2
  2. Reactive power = 3 ( w 1 (^)  w 2 )
  3. Tan  = 1 2

w w

w w

  1. Power factor = cos 

Two Wattmeter Method : Resistive Load

V

(volt)

I

(A)

MF =

Wattmeter Reading (W 1 )

MF =

Wattmeter Reading (W 2 )

Power

CosOBS (watt)

ACT =

OBS X

MF

(watt)

OBS

(watt)

ACT=OBS

x MF (watt)

Real Power (watt)

Reactive power (watt)

460 460 460 460 460 460 460 460 460