phys 1434 lab 4

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CUNY New York City College of Technology *

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PHYS 1434

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Electrical Engineering

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Apr 3, 2024

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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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