Lab 2- Nodal Analysis
pdf
keyboard_arrow_up
School
Toronto Metropolitan University *
*We aren’t endorsed by this school
Course
512
Subject
Electrical Engineering
Date
Dec 6, 2023
Type
Pages
3
Uploaded by SuperIbisMaster783
Lab 2- Nodal Analysis
Objective: To use nodal and mesh analysis to solve a circuit, then verify the results experimentally.
Procedure:
1.
Connect the circuit shown in Figure 23. The values of the resistors are given below in Table, and
the source voltage (vS) is 20 V
2.
Calculate all the component currents (i1 through i5), all the component voltages (v1 through v5)
using circuit theories you have learned in class, and record your results in Table . Then, measure
all the component currents (i1 through i5), all the component voltages (v1 through v5) and record
your results in Table 7.
3.
Take ve to be the reference node (0 V). To do that, connect the COM terminal of the voltmeter to
node e. First, calculate the node voltages (va, vb, vc and vd) using circuit theories you have
learned in the class. Then, measure the node voltages (va, vb, vc and vd) by connecting the V
terminal of the voltmeter to each of the nodes while keeping the COM terminal connected to node
e. Record your results in Table 7
Table 7
Question 1:
Write the Kirchhoff Current Law (KCL) equation for node b.
How do the measured values compare with the values you calculated?
Node b
𝑖1 − 𝑖2 − 𝑖3 = 0
𝑖1 = 𝑖2 + 𝑖3
𝑖1 = 0. 624 + 0. 299
0.923A
𝑖1 =
There is a direct correlation between the calculated value of i
1
through Kirchhoff's current law (0.923A)
with the measured value of i
1
from the power supply (0.920A). This proves that Kirchoff's current law is
applied in our circuit.
Part 2:
Write the Kirchhoff Voltage Law (KVL) equation for the loop on the right.
How do the measured values compare with the values you calculated?
Loop right
𝑣3 + 𝑣4 − 𝑣2 = 0
𝑣2 = 𝑣3 + 𝑣4
𝑣2 = 2. 988 + 6. 451
𝑣2 = 9. 439
There is a direct correlation between the calculated value of v
2
through Kirchhoff's current law (9.439V)
with the measured value of v
2
from the power supply (9.441V). This proves that Kirchoff's voltage law is
applied in our circuit.
See the appendix below for further calculations.
i
1
i
2
i
3
i
4
i
5
v
1
v
2
v
3
v
4
v
5
v
a
v
b
v
c
v
c
Calculated
Values
0.920
0.626
0.294
0.294
0.920
4.32
9.39
2.94
6.47
6.26
20.00
15.67
12.73
6.26
Measured
Values
0.924
0.624
0.299
0.287
0.933
4.211
9.441
2.988
6.451
6.317
20.00
15.72
12.74
6.319
APPENDIX
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
Consider the series-parallel circuit shown in the figure below with various multimeters connected in the circuit. Assum
that XMM1 has been configured in ammeter mode, and XMM2 has been configured in voltmeter mode.
XMM1
R1
1kQ
XMM2
R2
R3
V1
1kQ
1kQ
12V
3.1: Redraw the circuit replacing XMM1 and XMM2 by their equivalent circuit models
3.2: Assume that XMM2 was incorrectly configured in ammeter mode. Redraw the equivalent circuit from 3.1 and
compute the current that would be measured by the ammeter in this scenario.
Hil-
arrow_forward
180 is the answer amount of ohms needed on the oscilliscope. I need to transpose the equation to solve for R.
I must work out an equation that equals 180 ohms R resistance that gives off 50mA of current using the transposed equation.
Series impedence ,inductive reactive, phase angle formulas may need to be used. I need to get as close to 180 ohms as possible.
arrow_forward
Using these diagrams of circuits, what are the steps and materis to create these kind of circuits?
arrow_forward
In an electrical circuit four resistors are connected in parallel and their equivalent resistance is 50ohms. Find the value of each resistors if the currents through each impedance are 0.8, 0.4, 0.6 and 0.2 ampere.
arrow_forward
A component requires 6.3-V across it with a current of 0.3 V. A second component requires 12.6-V at 0.15A. The two components are connected in series. What is the value of resistor that must be connected across the 12.6-V component to allow it to operate properly when in series with the 6.3-V component?
arrow_forward
Shown in the figure below is an electrical circuit containing three resistors and two batteries.
I₁
0=
4
+
L
.
ww
R3
R₂
ww
1₂
R₁
ww
Write down the Kirchhoff Junction equation and solve it for I, in terms of I₂ and I3. Write the result here:
1₁ = 12-13
R₂=552
R₂ = 132
13
Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise.
- IzR3 − LR₁ + 14
+ 10
Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R₂, and R₁.
0 = 4-1₂R₂-11R₁
The resistors in the circuit have the following values:
R₁ = 12
Solve for all the following (some answers may be negative):
I₁ = 27.78
X Amperes
1₂ = 28.84
X Amperes
13 = 1.060
X Amperes
NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R₁,R₂,R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.
arrow_forward
For R1=55, R2=D125, R33D135, R4=15, R5=40, R63D90 and V1=4 V in the shown figure, use circuit reduction and
current/voltage division rules to calculate the following:
R6
R1
R5
R3
R2
V1
V2
R4
V13=
V2=
arrow_forward
Two resistors A and B are connected in series with a 220-V DC source. a voltmeter with an internal resistance of 10k Ohms is connected across resistor A, the instrument reads 100V and when connected across resistor B, it reads 80V. Find the value of the two resistances in series.
please show complete solution.
arrow_forward
3. Measure the short circuit current Ise by connecting the ammeterto the A and B ends. Measure
the Thévenin resistance RTH by disconnecting the voltage sources and connecting the resistors
Rị and R3 to the appropriate nodes. Add the simulation screenshots below.
arrow_forward
Please someone help me to slove these two problems, and give me an explanation , thank you
arrow_forward
Draw a easy parallel circuit, using Voltage Source E with 3 resistors. Each resistor has its own voltage drop.
a. Write down an equation describing the total resistance (Rt)
b.Write the equation describing the source current (Is)
c. Write down Kirchoffs Voltage Law for the circuit
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Related Questions
- Consider the series-parallel circuit shown in the figure below with various multimeters connected in the circuit. Assum that XMM1 has been configured in ammeter mode, and XMM2 has been configured in voltmeter mode. XMM1 R1 1kQ XMM2 R2 R3 V1 1kQ 1kQ 12V 3.1: Redraw the circuit replacing XMM1 and XMM2 by their equivalent circuit models 3.2: Assume that XMM2 was incorrectly configured in ammeter mode. Redraw the equivalent circuit from 3.1 and compute the current that would be measured by the ammeter in this scenario. Hil-arrow_forward180 is the answer amount of ohms needed on the oscilliscope. I need to transpose the equation to solve for R. I must work out an equation that equals 180 ohms R resistance that gives off 50mA of current using the transposed equation. Series impedence ,inductive reactive, phase angle formulas may need to be used. I need to get as close to 180 ohms as possible.arrow_forwardUsing these diagrams of circuits, what are the steps and materis to create these kind of circuits?arrow_forward
- In an electrical circuit four resistors are connected in parallel and their equivalent resistance is 50ohms. Find the value of each resistors if the currents through each impedance are 0.8, 0.4, 0.6 and 0.2 ampere.arrow_forwardA component requires 6.3-V across it with a current of 0.3 V. A second component requires 12.6-V at 0.15A. The two components are connected in series. What is the value of resistor that must be connected across the 12.6-V component to allow it to operate properly when in series with the 6.3-V component?arrow_forwardShown in the figure below is an electrical circuit containing three resistors and two batteries. I₁ 0= 4 + L . ww R3 R₂ ww 1₂ R₁ ww Write down the Kirchhoff Junction equation and solve it for I, in terms of I₂ and I3. Write the result here: 1₁ = 12-13 R₂=552 R₂ = 132 13 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. - IzR3 − LR₁ + 14 + 10 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R₂, and R₁. 0 = 4-1₂R₂-11R₁ The resistors in the circuit have the following values: R₁ = 12 Solve for all the following (some answers may be negative): I₁ = 27.78 X Amperes 1₂ = 28.84 X Amperes 13 = 1.060 X Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R₁,R₂,R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.arrow_forward
- For R1=55, R2=D125, R33D135, R4=15, R5=40, R63D90 and V1=4 V in the shown figure, use circuit reduction and current/voltage division rules to calculate the following: R6 R1 R5 R3 R2 V1 V2 R4 V13= V2=arrow_forwardTwo resistors A and B are connected in series with a 220-V DC source. a voltmeter with an internal resistance of 10k Ohms is connected across resistor A, the instrument reads 100V and when connected across resistor B, it reads 80V. Find the value of the two resistances in series. please show complete solution.arrow_forward3. Measure the short circuit current Ise by connecting the ammeterto the A and B ends. Measure the Thévenin resistance RTH by disconnecting the voltage sources and connecting the resistors Rị and R3 to the appropriate nodes. Add the simulation screenshots below.arrow_forward
- Please someone help me to slove these two problems, and give me an explanation , thank youarrow_forwardDraw a easy parallel circuit, using Voltage Source E with 3 resistors. Each resistor has its own voltage drop. a. Write down an equation describing the total resistance (Rt) b.Write the equation describing the source current (Is) c. Write down Kirchoffs Voltage Law for the circuitarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning

Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning