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Palestine Polytechnic University
Collage of IT and Computer Engineering
Computer Systems Engineering Department
Electrical Circuits Lab
Experiment Title: Kichhoff's Laws
Experiment Number: 5
Date: 11 March 2013
Instructor:
Zahir Sa'afeen
2
Objectives:
 To verify Kirchoff voltage and current law.
 To be able to apply Kirchoff current and voltage law with two
sources.
Equipments:
1. FACET base unit.
2. DC fundamental circuit board.
3. Digital Multimetre.
4. Wires.
5. Software(Multisim).
6. Ammeter.
Theory:
Kirchoff's current law states that :
At any node (junction) in an electrical circuit, the sum of currents flowing
into that node is equal to the sum of currents flowing out of that node, or:
The algebraic sum of currents in a network of conductors meeting at a
point is zero.
 KCL applies to all parallel circuits.
 R=E/I for every branch.
 It = I1+I2+I3+.....+In
Kirchoff's voltage law states that:
The directed sum of the electrical potential differences (voltage)
around any closed network is zero,
Mesh Current Equation for closed path in circuit
For loop(1): I1R1+I1R3-I2R3 =Vs1
I1R1+(I1-I2)R3 =Vs1
3
For loop(2): I2R2+(I1-I2)R3 =Vs2
Calculations and Analysis:
Kirchoff's current law
Exercise 1:
R1 = 1800 ± 5% Ω (using color code)
R2 = 2200± 5% Ω (using color code)
IR1 =VR1/R1=
14.98
1800
= 8.31 mA
IR2 =VR2/R2=
14.98
2200
= 6.79 mA
IT = IR1 + IR2 =8.31+6.79 = 15.10 mA.
Exercise 2:
IR1 =Vs/R1=
14.98
1800
= 8.31 mA
IR2 =Vs/R2=
14.98
2200
= 6.79 mA
IT = IR1 + IR2 =8.31+6.79 = 15.10 mA.
IT = Vs(R1+ R2)/(R1* R2)=
14.98∗4000
1800∗2200
= 15.13 mA.
Kirchoff's voltage law
Exercise 1:
R1 = 220 ± 5% Ω (using color code)
R2 = 510± 5% Ω (using color code)
R3 = 750± 5% Ω (using color code)
Rt = R1+R2+R3 =220+510+750= 1480 Ω
IT = Vs/Rt =
14.98
1480
= 10.12 mA
VR1 = It * R1 =10.12*220=2.22 V
VR2 = It * R2 =10.12*510=5.16 V
VR3 = It * R3 =10.12*750=7.59 V
4
Vt = VR1+VR2+VR3 = 2.22+5.16+7.59=14.97V.
Kirchoff's Solution with 2 Sources
Exercise 1:
R1 = 750 ± 5% Ω (using color code)
R2 = 3600± 5% Ω (using color code)
R3 = 7500± 5% Ω (using color code)
Rt = R1+R2+R3 =220+510+750= 1480 Ω
IT = Vs/Rt =
14.98
1480
= 10.12 mA
VR1 = It * R1 =10.12*220=2.22 V
VR2 = It * R2 =10.12*510=5.16 V
VR3 = It * R3 =10.12*750=7.59 V
Vt = VR1+VR2+VR3 = 2.22+5.16+7.59=14.97V.
VS1 - VR3- VR1= 10-5.97-3.61=.42 V
VR2 - VR3- VS2= 1.15 V
Exercise 2:
IR3 = VR3/R3 =
6.62
7500
= .88 mA
IR1 = (VS1-VR3)/R1=
10−6.62
750
= 4.54 mA.
VR1 = IR1 * R1 =4.5*750=3.38 V
IR2 = (VS2+VR3)/R2=
10+6.62
3600
= 4.6 mA.
VR2 = IR2 * R2 =4.6*3600=16.56 V
IR1 = IR2 + IR3 =4.6+.88 = 5.48 mA.
5
Experimental circuits and exercises:
Exercise 5 :
Kirchoff's Current Law
Kirchoff's Voltage Law
6
Kirchoff's Solution with 2 sources
7
Conclusions:
After this experiment we are able to determine current in parallel
branches by using Kirchoff's current law and verify it by measure and
calculations . Also, we are able to determine voltage of series resistance
and to use KVL and verify it by measure and calculation. Moreover, we
can deal with circuits with two sources by applying mesh equation
,KVL and KCL.

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Kirchhoff's Laws Lab Verifies Circuit Analysis Principles

  • 1. 1 Palestine Polytechnic University Collage of IT and Computer Engineering Computer Systems Engineering Department Electrical Circuits Lab Experiment Title: Kichhoff's Laws Experiment Number: 5 Date: 11 March 2013 Instructor: Zahir Sa'afeen
  • 2. 2 Objectives:  To verify Kirchoff voltage and current law.  To be able to apply Kirchoff current and voltage law with two sources. Equipments: 1. FACET base unit. 2. DC fundamental circuit board. 3. Digital Multimetre. 4. Wires. 5. Software(Multisim). 6. Ammeter. Theory: Kirchoff's current law states that : At any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node, or: The algebraic sum of currents in a network of conductors meeting at a point is zero.  KCL applies to all parallel circuits.  R=E/I for every branch.  It = I1+I2+I3+.....+In Kirchoff's voltage law states that: The directed sum of the electrical potential differences (voltage) around any closed network is zero, Mesh Current Equation for closed path in circuit For loop(1): I1R1+I1R3-I2R3 =Vs1 I1R1+(I1-I2)R3 =Vs1
  • 3. 3 For loop(2): I2R2+(I1-I2)R3 =Vs2 Calculations and Analysis: Kirchoff's current law Exercise 1: R1 = 1800 ± 5% Ω (using color code) R2 = 2200± 5% Ω (using color code) IR1 =VR1/R1= 14.98 1800 = 8.31 mA IR2 =VR2/R2= 14.98 2200 = 6.79 mA IT = IR1 + IR2 =8.31+6.79 = 15.10 mA. Exercise 2: IR1 =Vs/R1= 14.98 1800 = 8.31 mA IR2 =Vs/R2= 14.98 2200 = 6.79 mA IT = IR1 + IR2 =8.31+6.79 = 15.10 mA. IT = Vs(R1+ R2)/(R1* R2)= 14.98∗4000 1800∗2200 = 15.13 mA. Kirchoff's voltage law Exercise 1: R1 = 220 ± 5% Ω (using color code) R2 = 510± 5% Ω (using color code) R3 = 750± 5% Ω (using color code) Rt = R1+R2+R3 =220+510+750= 1480 Ω IT = Vs/Rt = 14.98 1480 = 10.12 mA VR1 = It * R1 =10.12*220=2.22 V VR2 = It * R2 =10.12*510=5.16 V VR3 = It * R3 =10.12*750=7.59 V
  • 4. 4 Vt = VR1+VR2+VR3 = 2.22+5.16+7.59=14.97V. Kirchoff's Solution with 2 Sources Exercise 1: R1 = 750 ± 5% Ω (using color code) R2 = 3600± 5% Ω (using color code) R3 = 7500± 5% Ω (using color code) Rt = R1+R2+R3 =220+510+750= 1480 Ω IT = Vs/Rt = 14.98 1480 = 10.12 mA VR1 = It * R1 =10.12*220=2.22 V VR2 = It * R2 =10.12*510=5.16 V VR3 = It * R3 =10.12*750=7.59 V Vt = VR1+VR2+VR3 = 2.22+5.16+7.59=14.97V. VS1 - VR3- VR1= 10-5.97-3.61=.42 V VR2 - VR3- VS2= 1.15 V Exercise 2: IR3 = VR3/R3 = 6.62 7500 = .88 mA IR1 = (VS1-VR3)/R1= 10−6.62 750 = 4.54 mA. VR1 = IR1 * R1 =4.5*750=3.38 V IR2 = (VS2+VR3)/R2= 10+6.62 3600 = 4.6 mA. VR2 = IR2 * R2 =4.6*3600=16.56 V IR1 = IR2 + IR3 =4.6+.88 = 5.48 mA.
  • 5. 5 Experimental circuits and exercises: Exercise 5 : Kirchoff's Current Law Kirchoff's Voltage Law
  • 7. 7 Conclusions: After this experiment we are able to determine current in parallel branches by using Kirchoff's current law and verify it by measure and calculations . Also, we are able to determine voltage of series resistance and to use KVL and verify it by measure and calculation. Moreover, we can deal with circuits with two sources by applying mesh equation ,KVL and KCL.