Experiment 4B- Series Parallel Circuits- Lab Report - PHYS...

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PHYS 2240-Section 516 Performed: 02/23/2016 E XPERIMENT 4B S ERIES P ARALLEL C IRCUITS Anagha Krishnan
PHYS 2240-Section 516 Lab 4B Report Anagha Krishnan L AB R EPORT 4B: S ERIES P ARALLEL C IRCUITS I NTRODUCTION In this experiment, we reduce series parallel circuits to an equivalent resistance. We then confirm that resistance experimentally by measuring the total current and the total voltage. We then use Ohm’s Law to find the resistance by dividing the measured voltage by the measured current. The importance of this experiment is to determine the relationships between series parallel circuits and their equivalent resistors as well as to use Ohm’s Law to find the relationship between voltage, current, and total resistance. T HEORY O VERVIEW OF EQUIVALENT RESISTANCE A resistor is a device that resists the passage of an electric current, and in general, it obeys Ohm’s Law. Resistors can be connected in one of three ways: in series (see Circuit Diagram 1), in parallel (see Circuit Diagram 2) or in a series parallel combination (see Circuit Diagrams 3 and 4). An equivalent resistor is a single resistor that can replace a complicated series parallel circuit to produce the same resistance. It thus produces the same current as the original series parallel circuit as long as we apply the same total voltage to both systems. For a series circuit, we can add the individual resistances to calculate the equivalent resistance, as shown in Equation 1. For a parallel circuit, we instead add the reciprocals of the individual resistances to calculate the reciprocal of the equivalent resistance (Equation 2), which we can then invert to find the true equivalent resistance. We can combine and manipulate these two equations to find the equivalent resistance for increasingly complicated series parallel circuits. R eq = R 1 + R 2 ( Equation 1 Equivalent Resistance of aSeriesCircuit ) In this equation, R eq represents the equivalent resistance, and R 1 and R 2 represent the individual resistances of the components of the system 1 R eq = 1 R 1 + 1 R 2 ( Equation 2 Equivalent Resistanceof a Circuit ) 2
PHYS 2240-Section 516 Lab 4B Report Anagha Krishnan In this equation, R eq again represents the equivalent resistance, and R 1 and R 2 represent the individual resistances of the components of the system O VERVIEW OF O HM S L AW Ohm’s Law is an equation that designates the relationship between voltage (also known as the electric potential difference), current, and resistance. Ohm’s Law states that the electric potential difference between two points (V) is equivalent to the product of the current between the two points (I) and the total resistance of the system (R). Equation 3 shows this relationship. V = IR ( Equation 3 Ohm ' s Law ) In this equation, V is the voltage (or the electric potential difference), I is the current, and R is the resistance.

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