# Physics 2240 Lab Report #1 - Physics 2240 Experiment#4B...

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Physics 2240 2/22/2016 Experiment #4B Series Parallel Circuits Devin Davis Introduction:
Simple circuits are connected by their components in a series and/or parallel arrangements. The components are usually called resistors and are hooked up to a battery source to create a current. A simple/complex circuit can be reduced to an equivalent resistance, which will equal the same current as the resistors. In this experiment, 4 different circuits will be examined and discussed. The behavior of parallel and series circuits are also studied throughout the experiment. The equivalent resistance is obtained by calculating Current (I) and measured Velocity (V). Percent difference between the theoretical and measured equivalent resistance will be measured for all 4 of the circuits. Theory: A circuit contains resistors that establish a current throughout the circuit system. Resistors are assumed in this experiment to obey Ohm’s Law and have a resistance of R. Resistors (two or more) can be connected in series or parallel. They also can be connected in a complex circuit containing a series/parallel circuit. An equivalent resistance is a single resistor that can replace a complex circuit, but still produce the same amount of current (if the voltage doesn’t increase/decrease). In a series circuit the resistances are additive to produce the equivalent resistance: R ( equivalent ) = R 1 + R 2 Equation 1 For a parallel circuit, the resistances add as reciprocals: 1 R ( equivalent ) = 1 R 1 + 1 R 2 Equation 2 Equation 1 & 2 will be used for the first 2 circuits respectively, while the last 2 circuits are more complex. They require noticing that certain resistors are in parallel or series. Circuit #3 consists
of 2 resistors in parallel, who then can be calculated into an equivalent resistance using Equation 2. That equivalent resistance can then be added to the last resistor using Equation 1 to find the
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