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Course
PHYS 1434
Subject
Electrical Engineering
Date
Apr 3, 2024
Type
docx
Pages
6
Uploaded by EarlHerring1816
Ohm’s Law and Resistors in Parallel and
in Series
PHYS 1434 D781
Student’s name: Kahou Puan
Team’s Names: Matthew and Stefano
Professor’s name: Leonid Pomirchi
Date Completed: 3/06/2023
Theory
Ohm's rule is a basic concept of electric circuitry that says that, given a fixed resistance, the current passing through a conductor is exactly proportionate to the voltage applied across it. Georg Simon Ohm found this rule in 1827, and it applies to circuits with one or more resistors connected in parallel or series. According to Ohm's law, the current flowing through a conductor is proportional to the voltage applied across it and inversely proportional to the conductor's resistance. This relationship is mathematically expressed as I=V/R, where I is current, V is voltage, and R is resistance.
Multiple resistors in series share the same current, and the voltage across each resistor is proportional to its resistance. Summing the individual resistances yields the total resistance of the series combination. Ohm's law can be used to calculate the current flowing through the circuit by dividing the voltage by the total resistance.
When resistors are connected in series, they all have the same voltage across them, and the current flowing through each resistor is proportional to its conductance. Summing the individual conductances yields the total conductance of the parallel combination. The reciprocal
of the total conductance can be used to calculate the total resistance of the parallel combination. Using Ohm's law, the current passing through each resistor can be calculated by reducing the voltage by the resistance of each individual resistor. By adding the individual currents, the total current flowing through the circuit can be calculated.
Understanding the behavior of resistors in parallel and in series is fundamental to the design and analysis of electrical circuits. By applying Ohm's law and the principles discussed above, engineers and technicians can design circuits with specific performance characteristics and troubleshoot existing circuits to identify and correct faults.
Goal
Explore the relationship between electric current, voltage, and resistance and understand the Ohm’s Law
Analyze the graphs of current vs voltage and current vs inversed resistance
Understand the difference between the ohmic resistance and the diode which has nonlinear resistance
Able to connect resistors in series and in parallel
Determine the equivalent resistance of series and parallel combinations of resistors
Data
Table 5.1
Initial direction of current across the resistor
Reverse direction of current when you reverse the leads across of the resistor
R
1 =1000 Ω
R
2
=1200 Ω
R
1 =1000 Ω
R
2
=1200 Ω
Voltage,
V
Current I,
A
Voltage, V
Current I,
A
Voltage, V
Current I,
A
Voltage, V
Current I,
A
1.9
0.0015
1.9
0.001
1.9
0.0015
1.9
0.001
2.9
0.0025
2.9
0.002
2.9
0.0025
2.9
0.002
3.9
0.003
3.9
0.003
3.9
0.003
3.9
0.003
4.9
0.0045
4.9
0.004
4.9
0.0045
4.9
0.004
5.9
0.005
5.9
0.0045
5.9
0.005
5.9
0.0045
6.9
0.006
6.9
0.005
6.9
0.006
6.9
0.005
7.9
0.007
7.9
0.006
7.9
0.007
7.9
0.006
8.9
0.008
8.9
0.0065
8.9
0.008
8.9
0.0065
9.9
0.009
9.9
0.0075
9.9
0.009
9.9
0.0075
10.9
0.010
10.9
0.0085
10.9
0.010
10.9
0.0085
11.9
0.011
11.9
0.009
11.9
0.011
11.9
0.009
Resistors
Slope from graph, 1/Ω
R = 1/slope, Ω
Actual Value of R, Ω
% difference
R1 1000 Ω
0.001 1000
1000
N/A
R2 1200 Ω
0.0012
1200
1200
N/A
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