Resistors in Series and in Parallel
I. OBJECTIVE
The objective of the study is to understand and differentiate the resistance, voltage, and the current relations in circuits in series and in parallel
II. THEORY
Series circuits
A series circuit is a circuit in which resistors are arranged in a chain, so the current has only one path to take. The current is the same through each resistor. The total resistance of the circuit is found by simply adding up the resistance values of the individual resistors:
resistance of resistors in series : R = R1 + R2 + R3 + ...Rn
A series circuit is shown in the diagram above. The current flows through each resistor in turn. If the values of the three resistors are:
R1 = 8 ohms R2 = 8 ohms R3 = 4 ohms the total Resistance is 20 which is derived from 8 + 8 + 4; the sum of the 3 resistors.
With a 10 V battery, by V = I R the total current in the circuit is:
I = V / R = 10 / 20 = 0.5 A. The current through each resistor would be 0.5 A.
In Series, the current is the same.
Parallel circuits
A parallel circuit is a circuit in which the resistors are arranged with their heads connected together, and their tails connected together. The current in a parallel circuit breaks up, with some flowing along each parallel branch and re-combining when the branches meet again. The voltage across each resistor in parallel is the same.
The total resistance of a set of resistors in parallel is found by adding up the reciprocals of the resistance values, and then taking the reciprocal of the total:
equivalent resistance of resistors in parallel: 1 / R = 1 / R1 + 1 / R2 + 1 / R3 +...+1/Rn
A parallel circuit is show...
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...he malfunctioning of the materials while we were conducting the experiment.
VIII. CONCLUSION
In conclusion, I can say that connection is in series when electricity flows uniformly from one resistor to the next. In series, the current is equal and the total voltage is derived by adding their individual voltages. The total resistance of a series connection is also derived by adding their individual resistances.
However, when the connection is parallel the total current is the result of the sum of the individual currents while the voltage is equal. The reciprocal of the total resistance is equal to the sum of the reciprocals of the individual resistances.
The total resistance of the resistors in series is greater than the individual resistances while on the other hand; the total resistance of a parallel group is always less than the individual resistances.
(t)| (12) The −→ A , −→ C vectors are calculated as in equations 13 and 14 −→ A = 2 −→ A . −→ r 1 − −→ a (13)
It was also possible to simulate ED system after the electric resistances of the equivalent circuit were obtained from the analysis of the time course of PaCl. The simulation results agreed with ED data very well.
HHI = 16 ² + 15² + 14.1² + 10.4² + 9.7² + 9.4² + 6.1² + 5.4² + 4² + 2.4² + 2.4² + 1.2² + 1.2² + 1.1² + 0.7² + 0.5² + 0.2² + 0.1² + 0.1² + 0.1²
The reason I will test my theory is so I can see if ohm's law was
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resistance and blood volume. Cardiac output refers to the amount of blood pumped by the heart
Show your work. Note that your answer will probably not be an even whole number as it is in the examples, so round to the nearest whole number.
Their performance can be modelled, predicted and analyzed using equivalent circuits, and this experiment examines one of these circuits. MEASUREMENTS ------------ Short-circuit test: Primary voltage (Vsc) = 26V Primary current (I1) =
F Another wire, or exact same properties (Nickel Chrome, thickness 34). mm and length 30cm) was placed on top of the previous wire, in the same position, both straight and flat. F. The power was turned on again and the same procedure was repeated. recording current and voltage at three points on the variable. resistor.
The Relationship Between Length, Width and Resistance of a Wire Aim: To investigate how the length and width of a wire affects the resistance of the wires. What is the resistance to a s Electricity is conducted through a conductor, in this case wire, by means of free electrons. The number of free electrons depends on the material and more free electrons means a better conductor, i.e. gold has less resistance to the sand. For example, gold has more free electrons than. iron and, as a result, it is a better conductor.
Basic Mathematics for Electronics seventh edition: Nelson M. Cooke, Herbert F.R Adams, Peter B. Dell, T. Adair Moore; Copyright 1960
First off, what is current. Current is expressed in a unit called Amps. Amps are a measurement of how many electrons pass per second. That is to say, a wire with 40 coulombs passing any point in a 2 seconds would be said to have 20 Amps of current (40 Coulombs (a unit of charge given as 6.24x1018 electrons) / time in seconds or in this case, 2 seconds. The Amp is also known as Coulombs per second) Another trick about current is that it is measured in the movement of the positive charge. Literally that is to say the current moves in oppostion to the electrons. This is because originally it was thought that the positive charge is what moved, both are viable, but in reality a positive charge is generally fixed since within an atom the electrons are migratory, while the protons and neutrons tend to be stationary.
Inversely, to decrease I, R must increase. The value of R depends on how easy it is for the electric charge to pass through the conductor. Therefore to decrease R, the passage must be made easier and to