Deccan College Of Engineering & Technology
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DECCAN COLLEGE OF ENGINEERING & TECHNOLOGY
(Nampally, Dar-us-Salam, Hyderabad) Department of Electrical & Electronics Engineering CIRCUITS & MEASUREMENT LAB MANUAL
for BE - EEE & EIE- V Semester
Prepared by Mrs. Shaziya Sultana, Assoc. Prof. Ms. Roqayya Aimun, Asst. Prof. Mr. Md Ahmeduddin Farooqi, Asst.Prof. Mr. Shaik Mohammed Mukassir, Asst. Prof. Mr. Mohd. shahabuddin, Lab Tech.
Approved by
Dr. Prof. Sardar Ali Head of the department (EEE)
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Name: ________________________________Roll No: ___________________
INDEX
S.No Date
Name of the Experiment
Page No Sign
1
Verification of KCL & KVL using Mesh and
2
Nodal Analysis
Verification of a) Thevenin’s Theorem
2
b)Norton’s Theorem c)Superposition
5
Theorem d)Max. Power transfer theorem
Open Circuit, Short and ABCD parameters
3
of two port parameters
15
Simulation of 2nd order RLC circuit using
21
4
PSPICE
5
Transient Response of RLC Circuits
25
6
Measurement of low resistance by Kelvin’s
27
Double Bridge
7
Measurement of Active, reactive power
29
measurement using two wattmeter method
Calibration of Single Phase Energy meter by
8
Phantom loading and measurement of power
35
direct loading
Measurement of a) Inductance by
9
Maxwell’s and Andersons Bridge b)
37
Measurement of Capacitance by DeSauty’s
Bridge
Use of DC Potentiometer for measurement
10
of unknown voltage and Impedance
40
1|Page
EXPERIMENT NO.1
VERIFICATION OF KIRCHHOFFS LAW (KCL AND KVL) USING MESH AND NODAL ANALYSIS
AIM: - To verify Kirchhoff’s current law and Kirchhoff’s voltage law for the given circuit using mesh and nodal analysis.
APPARATUS:-
Sl.No Apparatus .
Range
Quantity
1
RPS (regulated power supply)
(0-30V)
2
2
Resistance
3
Ammeter
4
Voltmeter
5
Bread Board & Wires
2K, 2K 1k (0-30mA)MC (0-30V)MC --
6 3 3 Required
Statement: KCL: The algebraic sum of the currents meeting at a node is equal to zero. KVL: In any closed path / mesh, the algebraic sum of all the voltages is zero. Precautions: 1. Voltage control knob should be kept at minimum position. 2. Current control knob of RPS should be kept at maximum position. Procedure for KCL: 1. Give the connections as per the circuit diagram. 2. Set a particular value in RPS. 3. Note down the corresponding ammeter reading 4. Repeat the same for different voltages Procedure for KVL: 1. Give the connections as per the circuit diagram. 2. Set a particular value in RPS. 3. Note all the voltage reading 4. Repeat the same for different voltages
2|Page
B.E. EEE V SEMESTER DCET Circuit - KCL
CIRCUITS & MEASUREMENTS LAB MANUAL
Circuit - KVL
KCL - Theoretical Values:
Voltage
Current
S.No.
E
I1
I2
I3
I1=I2 + I3
Volts
mA
mA
mA
1
5
2
10
3
15
4
20
5
25
3|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
KCL - Practical Values:
Voltage
Current
S.No.
E
I1
I2
I3
I1=I2 + I3
Volts
mA
mA
mA
1
5
2
10
3
15
4
20
5
25
KVL – Theoretical Values
1
5
5
2
10
10
3
15
15
4
20
20
5
25
25
KVL
E2=V2+V3 V
KVL - Practical Values
KVL
E2=V2+V3 V
1
5
5
2
10
10
3
15
15
4
20
20
5
25
25
Model Calculations:
Result:Thus Kirchoff’s voltage load and Kirchoff’s current law verified both theoretically and practically.
4|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
EXPERIMENT NO.2
VERIFICATION OF (A) THEVENIN’S THEOREM (B) NORTON’S THEOREM (C) SUPERPOSITION THEOREM (D) MAXIMUM POWER TRANSFER THEOREM
PART-1 AIM: - To verify Thevenin’s Theorem. APPARATUS:-
S.No 1 2 3 4 5 6 7
Apparatus Regulated power supply
Ammeter Voltmeter Ohmmeter Circuit board Decade resistance box Connecting wires
Type -
MC MC Digital
-
Range 0-30 Volts 0-20 mA 0-20 Volts 0-10 ohms
0-10KΩ
-
Quantity 1 1 1 1 1 1
As required
THEORY:-
THEVENIN’S THEOREM: -
Any linear bilateral network with respect to a pair of terminals may be replaced by a voltage source Vth, where Vth is open circuit voltage (i.e. Voltage across the terminals when RL is removed ) in series with resistance equal to Thevenin’s resistance Rth, where Rth is the internal resistance of the network from terminals A and B with voltage sources replaced by their internal resistances, if any , and current sources by infinite resistance. The current flowing through a load Resistance RL connected across any two terminals A and B of a linear, passive, bilateral network is given by
IL = Vth / (Rth + RL)
CIRCUIT DIAGRAM:
Fig. 1
5|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Fig. 2
Fig 3
Fig 4
PROCEDURE:-
1. Connect the circuit as shown in the diagram and apply suitable voltage, remove RLand. note down the open circuit voltage (Vth) across terminals A & B. (Fig.2).
2. Connect the circuit as shown in Fig.3. And note the Thevenin’s Resistance Rth by means of a multi meter (Ohm meter).
3. Connect the circuit as shown in Fig.1. For a particular value of load resistance RL, keeping the voltage of RPS at the same value as in step 1, note the value of the current. Verify the value obtained by applying the Thevenin’s theorem i.e. IL should be equal to Vth/ (Rth + RL).
4. Repeat step 3, for various values of load resistances and compare with the calculated values as obtained by applying Thevenin’s theorem.
5. Vary the input voltage and take three sets of readings (step 2. Need not be repeated as long as the network is not changed).
6. Fig. 4 shows the Thevenin equivalent circuit with load resistor.
6|Page
B.E. EEE V SEMESTER DCET
THEORITICAL CALCULATIONS:-
Rth = 𝑅2 + 𝑅𝑅11+𝑅𝑅33 =
𝑉𝑠 Vth = 𝑅3 * 𝑅1+𝑅3 =
𝑉𝑡ℎ IL = 𝑅𝑡ℎ+𝑅𝐿
CIRCUITS & MEASUREMENTS LAB MANUAL
OBSERVATIONS:-
Vs = 5 V;
Vth = ______ volts;
Rth = _____ Ω
S. No. RL (Ω)
IL(mA) Measured Value
IL = 𝑉𝑡ℎ (mA)
𝑅𝑡ℎ+𝑅𝐿
(By applying theorem)
RESULT:- Thevenin’s Theorem is verified.
7|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
PART-2
AIM: - To verify Norton’s Theorem
APPARATUS:-
S.No 1 2 3 4 5 6 7
Apparatus Regulated power supply
Ammeter Voltmeter Ohmmeter Circuit board Decade resistance box Connecting wires
Type -
MC MC Digital
-
Range 0-30 Volts 0-20 mA 0-20 Volts 0-10 ohms
0-10KΩ
-
Quantity 1 1 1 1 1 1
As required
THEORY:-
NORTON’S THEOREM:
Any linear bilateral network with respect to a pair of terminals may be replaced by a current source, whose value is equal to the current passing through it when short circuited, in parallel with a resistance equal to the Thevenin’s resistance. Then the current through the load resistance is given by
CIRCUIT DIAGRAM:-
IL = Isc* 𝑅𝑁
𝑅𝑁+ 𝑅𝐿
Fig.1
Fig. 2
8|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Fig. 3
Fig. 4
PROCEDURE:-
1. Connect the circuit as shown in Fig. 2. and applying suitable voltage through RPS. Determine the short circuit current. ( Isc )
2. Connect the circuit as shown in Fig.1and note down the load currents for various values of load resistance (RL) and compare with the theoretical values obtained using Norton s equivalent circuit. ( Fig. 4)
3. Repeat step 1& 2 for various values of source voltages (Note RN obtained from Fig. 3 is the same value as the one obtained in Thevenin’s equivalent circuit)
THEORITICAL CALCULATIONS:-
RN = 𝑅2 + 𝑅𝑅11+𝑅𝑅33 =
I = 𝑉𝑠 =
𝑅
ISC = 𝐼 ∗ 𝑅3 = 𝑅2+𝑅3
𝑅𝑁 IL = ISC * 𝑅𝑁+𝑅𝐿
9|Page
(Nampally, Dar-us-Salam, Hyderabad) Department of Electrical & Electronics Engineering CIRCUITS & MEASUREMENT LAB MANUAL
for BE - EEE & EIE- V Semester
Prepared by Mrs. Shaziya Sultana, Assoc. Prof. Ms. Roqayya Aimun, Asst. Prof. Mr. Md Ahmeduddin Farooqi, Asst.Prof. Mr. Shaik Mohammed Mukassir, Asst. Prof. Mr. Mohd. shahabuddin, Lab Tech.
Approved by
Dr. Prof. Sardar Ali Head of the department (EEE)
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Name: ________________________________Roll No: ___________________
INDEX
S.No Date
Name of the Experiment
Page No Sign
1
Verification of KCL & KVL using Mesh and
2
Nodal Analysis
Verification of a) Thevenin’s Theorem
2
b)Norton’s Theorem c)Superposition
5
Theorem d)Max. Power transfer theorem
Open Circuit, Short and ABCD parameters
3
of two port parameters
15
Simulation of 2nd order RLC circuit using
21
4
PSPICE
5
Transient Response of RLC Circuits
25
6
Measurement of low resistance by Kelvin’s
27
Double Bridge
7
Measurement of Active, reactive power
29
measurement using two wattmeter method
Calibration of Single Phase Energy meter by
8
Phantom loading and measurement of power
35
direct loading
Measurement of a) Inductance by
9
Maxwell’s and Andersons Bridge b)
37
Measurement of Capacitance by DeSauty’s
Bridge
Use of DC Potentiometer for measurement
10
of unknown voltage and Impedance
40
1|Page
EXPERIMENT NO.1
VERIFICATION OF KIRCHHOFFS LAW (KCL AND KVL) USING MESH AND NODAL ANALYSIS
AIM: - To verify Kirchhoff’s current law and Kirchhoff’s voltage law for the given circuit using mesh and nodal analysis.
APPARATUS:-
Sl.No Apparatus .
Range
Quantity
1
RPS (regulated power supply)
(0-30V)
2
2
Resistance
3
Ammeter
4
Voltmeter
5
Bread Board & Wires
2K, 2K 1k (0-30mA)MC (0-30V)MC --
6 3 3 Required
Statement: KCL: The algebraic sum of the currents meeting at a node is equal to zero. KVL: In any closed path / mesh, the algebraic sum of all the voltages is zero. Precautions: 1. Voltage control knob should be kept at minimum position. 2. Current control knob of RPS should be kept at maximum position. Procedure for KCL: 1. Give the connections as per the circuit diagram. 2. Set a particular value in RPS. 3. Note down the corresponding ammeter reading 4. Repeat the same for different voltages Procedure for KVL: 1. Give the connections as per the circuit diagram. 2. Set a particular value in RPS. 3. Note all the voltage reading 4. Repeat the same for different voltages
2|Page
B.E. EEE V SEMESTER DCET Circuit - KCL
CIRCUITS & MEASUREMENTS LAB MANUAL
Circuit - KVL
KCL - Theoretical Values:
Voltage
Current
S.No.
E
I1
I2
I3
I1=I2 + I3
Volts
mA
mA
mA
1
5
2
10
3
15
4
20
5
25
3|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
KCL - Practical Values:
Voltage
Current
S.No.
E
I1
I2
I3
I1=I2 + I3
Volts
mA
mA
mA
1
5
2
10
3
15
4
20
5
25
KVL – Theoretical Values
1
5
5
2
10
10
3
15
15
4
20
20
5
25
25
KVL
E2=V2+V3 V
KVL - Practical Values
KVL
E2=V2+V3 V
1
5
5
2
10
10
3
15
15
4
20
20
5
25
25
Model Calculations:
Result:Thus Kirchoff’s voltage load and Kirchoff’s current law verified both theoretically and practically.
4|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
EXPERIMENT NO.2
VERIFICATION OF (A) THEVENIN’S THEOREM (B) NORTON’S THEOREM (C) SUPERPOSITION THEOREM (D) MAXIMUM POWER TRANSFER THEOREM
PART-1 AIM: - To verify Thevenin’s Theorem. APPARATUS:-
S.No 1 2 3 4 5 6 7
Apparatus Regulated power supply
Ammeter Voltmeter Ohmmeter Circuit board Decade resistance box Connecting wires
Type -
MC MC Digital
-
Range 0-30 Volts 0-20 mA 0-20 Volts 0-10 ohms
0-10KΩ
-
Quantity 1 1 1 1 1 1
As required
THEORY:-
THEVENIN’S THEOREM: -
Any linear bilateral network with respect to a pair of terminals may be replaced by a voltage source Vth, where Vth is open circuit voltage (i.e. Voltage across the terminals when RL is removed ) in series with resistance equal to Thevenin’s resistance Rth, where Rth is the internal resistance of the network from terminals A and B with voltage sources replaced by their internal resistances, if any , and current sources by infinite resistance. The current flowing through a load Resistance RL connected across any two terminals A and B of a linear, passive, bilateral network is given by
IL = Vth / (Rth + RL)
CIRCUIT DIAGRAM:
Fig. 1
5|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Fig. 2
Fig 3
Fig 4
PROCEDURE:-
1. Connect the circuit as shown in the diagram and apply suitable voltage, remove RLand. note down the open circuit voltage (Vth) across terminals A & B. (Fig.2).
2. Connect the circuit as shown in Fig.3. And note the Thevenin’s Resistance Rth by means of a multi meter (Ohm meter).
3. Connect the circuit as shown in Fig.1. For a particular value of load resistance RL, keeping the voltage of RPS at the same value as in step 1, note the value of the current. Verify the value obtained by applying the Thevenin’s theorem i.e. IL should be equal to Vth/ (Rth + RL).
4. Repeat step 3, for various values of load resistances and compare with the calculated values as obtained by applying Thevenin’s theorem.
5. Vary the input voltage and take three sets of readings (step 2. Need not be repeated as long as the network is not changed).
6. Fig. 4 shows the Thevenin equivalent circuit with load resistor.
6|Page
B.E. EEE V SEMESTER DCET
THEORITICAL CALCULATIONS:-
Rth = 𝑅2 + 𝑅𝑅11+𝑅𝑅33 =
𝑉𝑠 Vth = 𝑅3 * 𝑅1+𝑅3 =
𝑉𝑡ℎ IL = 𝑅𝑡ℎ+𝑅𝐿
CIRCUITS & MEASUREMENTS LAB MANUAL
OBSERVATIONS:-
Vs = 5 V;
Vth = ______ volts;
Rth = _____ Ω
S. No. RL (Ω)
IL(mA) Measured Value
IL = 𝑉𝑡ℎ (mA)
𝑅𝑡ℎ+𝑅𝐿
(By applying theorem)
RESULT:- Thevenin’s Theorem is verified.
7|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
PART-2
AIM: - To verify Norton’s Theorem
APPARATUS:-
S.No 1 2 3 4 5 6 7
Apparatus Regulated power supply
Ammeter Voltmeter Ohmmeter Circuit board Decade resistance box Connecting wires
Type -
MC MC Digital
-
Range 0-30 Volts 0-20 mA 0-20 Volts 0-10 ohms
0-10KΩ
-
Quantity 1 1 1 1 1 1
As required
THEORY:-
NORTON’S THEOREM:
Any linear bilateral network with respect to a pair of terminals may be replaced by a current source, whose value is equal to the current passing through it when short circuited, in parallel with a resistance equal to the Thevenin’s resistance. Then the current through the load resistance is given by
CIRCUIT DIAGRAM:-
IL = Isc* 𝑅𝑁
𝑅𝑁+ 𝑅𝐿
Fig.1
Fig. 2
8|Page
B.E. EEE V SEMESTER DCET
CIRCUITS & MEASUREMENTS LAB MANUAL
Fig. 3
Fig. 4
PROCEDURE:-
1. Connect the circuit as shown in Fig. 2. and applying suitable voltage through RPS. Determine the short circuit current. ( Isc )
2. Connect the circuit as shown in Fig.1and note down the load currents for various values of load resistance (RL) and compare with the theoretical values obtained using Norton s equivalent circuit. ( Fig. 4)
3. Repeat step 1& 2 for various values of source voltages (Note RN obtained from Fig. 3 is the same value as the one obtained in Thevenin’s equivalent circuit)
THEORITICAL CALCULATIONS:-
RN = 𝑅2 + 𝑅𝑅11+𝑅𝑅33 =
I = 𝑉𝑠 =
𝑅
ISC = 𝐼 ∗ 𝑅3 = 𝑅2+𝑅3
𝑅𝑁 IL = ISC * 𝑅𝑁+𝑅𝐿
9|Page
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